37.060 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.255 * * * [progress]: [2/2] Setting up program.
0.261 * [progress]: [Phase 2 of 3] Improving.
0.261 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.263 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.263 * * [simplify]: iteration 1: (13 enodes)
0.266 * * [simplify]: iteration 2: (29 enodes)
0.272 * * [simplify]: iteration 3: (60 enodes)
0.284 * * [simplify]: iteration 4: (123 enodes)
0.746 * * [simplify]: iteration 5: (322 enodes)
0.992 * * [simplify]: iteration 6: (817 enodes)
2.123 * * [simplify]: Extracting #0: cost 1 inf + 0
2.124 * * [simplify]: Extracting #1: cost 58 inf + 0
2.125 * * [simplify]: Extracting #2: cost 198 inf + 1
2.126 * * [simplify]: Extracting #3: cost 265 inf + 46
2.128 * * [simplify]: Extracting #4: cost 245 inf + 1713
2.131 * * [simplify]: Extracting #5: cost 180 inf + 14173
2.162 * * [simplify]: Extracting #6: cost 61 inf + 110645
2.208 * * [simplify]: Extracting #7: cost 0 inf + 167860
2.282 * * [simplify]: Extracting #8: cost 0 inf + 164570
2.359 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
2.373 * * [progress]: iteration 1 / 4
2.373 * * * [progress]: picking best candidate
2.385 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.385 * * * [progress]: localizing error
2.413 * * * [progress]: generating rewritten candidates
2.413 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
2.440 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
2.464 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
2.477 * * * [progress]: generating series expansions
2.477 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
2.478 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
2.478 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
2.478 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.478 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.478 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.478 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.478 * [taylor]: Taking taylor expansion of 1/2 in k
2.478 * [backup-simplify]: Simplify 1/2 into 1/2
2.478 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.478 * [taylor]: Taking taylor expansion of 1/2 in k
2.478 * [backup-simplify]: Simplify 1/2 into 1/2
2.478 * [taylor]: Taking taylor expansion of k in k
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.478 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.478 * [taylor]: Taking taylor expansion of 2 in k
2.478 * [backup-simplify]: Simplify 2 into 2
2.478 * [taylor]: Taking taylor expansion of (* n PI) in k
2.478 * [taylor]: Taking taylor expansion of n in k
2.478 * [backup-simplify]: Simplify n into n
2.478 * [taylor]: Taking taylor expansion of PI in k
2.478 * [backup-simplify]: Simplify PI into PI
2.478 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.478 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.478 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.478 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.479 * [backup-simplify]: Simplify (- 0) into 0
2.479 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.479 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.479 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.479 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.479 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.479 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.479 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.479 * [taylor]: Taking taylor expansion of 1/2 in n
2.479 * [backup-simplify]: Simplify 1/2 into 1/2
2.479 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.479 * [taylor]: Taking taylor expansion of 1/2 in n
2.479 * [backup-simplify]: Simplify 1/2 into 1/2
2.479 * [taylor]: Taking taylor expansion of k in n
2.479 * [backup-simplify]: Simplify k into k
2.479 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.479 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.479 * [taylor]: Taking taylor expansion of 2 in n
2.479 * [backup-simplify]: Simplify 2 into 2
2.479 * [taylor]: Taking taylor expansion of (* n PI) in n
2.479 * [taylor]: Taking taylor expansion of n in n
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [taylor]: Taking taylor expansion of PI in n
2.479 * [backup-simplify]: Simplify PI into PI
2.480 * [backup-simplify]: Simplify (* 0 PI) into 0
2.480 * [backup-simplify]: Simplify (* 2 0) into 0
2.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.482 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.482 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.483 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.483 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.483 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.483 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.484 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.485 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.485 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.485 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.485 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.485 * [taylor]: Taking taylor expansion of 1/2 in n
2.485 * [backup-simplify]: Simplify 1/2 into 1/2
2.485 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.485 * [taylor]: Taking taylor expansion of 1/2 in n
2.485 * [backup-simplify]: Simplify 1/2 into 1/2
2.485 * [taylor]: Taking taylor expansion of k in n
2.485 * [backup-simplify]: Simplify k into k
2.485 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.485 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.485 * [taylor]: Taking taylor expansion of 2 in n
2.485 * [backup-simplify]: Simplify 2 into 2
2.485 * [taylor]: Taking taylor expansion of (* n PI) in n
2.485 * [taylor]: Taking taylor expansion of n in n
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [taylor]: Taking taylor expansion of PI in n
2.485 * [backup-simplify]: Simplify PI into PI
2.485 * [backup-simplify]: Simplify (* 0 PI) into 0
2.486 * [backup-simplify]: Simplify (* 2 0) into 0
2.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.487 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.488 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.488 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.488 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.488 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.489 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.490 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.490 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.490 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.490 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.491 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.491 * [taylor]: Taking taylor expansion of 1/2 in k
2.491 * [backup-simplify]: Simplify 1/2 into 1/2
2.491 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.491 * [taylor]: Taking taylor expansion of 1/2 in k
2.491 * [backup-simplify]: Simplify 1/2 into 1/2
2.491 * [taylor]: Taking taylor expansion of k in k
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.491 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.491 * [taylor]: Taking taylor expansion of (log n) in k
2.491 * [taylor]: Taking taylor expansion of n in k
2.491 * [backup-simplify]: Simplify n into n
2.491 * [backup-simplify]: Simplify (log n) into (log n)
2.491 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.491 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.491 * [taylor]: Taking taylor expansion of 2 in k
2.491 * [backup-simplify]: Simplify 2 into 2
2.491 * [taylor]: Taking taylor expansion of PI in k
2.491 * [backup-simplify]: Simplify PI into PI
2.491 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.492 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.492 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.492 * [backup-simplify]: Simplify (- 0) into 0
2.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.493 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.494 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.495 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.495 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.496 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.498 * [backup-simplify]: Simplify (- 0) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.500 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.501 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.501 * [taylor]: Taking taylor expansion of 0 in k
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.504 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.504 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.507 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.508 * [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)))))))
2.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.512 * [backup-simplify]: Simplify (- 0) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.513 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.514 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.516 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.516 * [taylor]: Taking taylor expansion of 0 in k
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.525 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.533 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.548 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
2.549 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.549 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.549 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.549 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.549 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.550 * [taylor]: Taking taylor expansion of 1/2 in k
2.550 * [backup-simplify]: Simplify 1/2 into 1/2
2.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.550 * [taylor]: Taking taylor expansion of 1/2 in k
2.550 * [backup-simplify]: Simplify 1/2 into 1/2
2.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.550 * [taylor]: Taking taylor expansion of k in k
2.550 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify 1 into 1
2.550 * [backup-simplify]: Simplify (/ 1 1) into 1
2.550 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.550 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.550 * [taylor]: Taking taylor expansion of 2 in k
2.550 * [backup-simplify]: Simplify 2 into 2
2.550 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.550 * [taylor]: Taking taylor expansion of PI in k
2.550 * [backup-simplify]: Simplify PI into PI
2.550 * [taylor]: Taking taylor expansion of n in k
2.550 * [backup-simplify]: Simplify n into n
2.550 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.551 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.551 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.551 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.551 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.552 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.552 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.552 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.552 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.552 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.552 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.552 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.552 * [taylor]: Taking taylor expansion of 1/2 in n
2.552 * [backup-simplify]: Simplify 1/2 into 1/2
2.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.553 * [taylor]: Taking taylor expansion of 1/2 in n
2.553 * [backup-simplify]: Simplify 1/2 into 1/2
2.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.553 * [taylor]: Taking taylor expansion of k in n
2.553 * [backup-simplify]: Simplify k into k
2.553 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.553 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.553 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.553 * [taylor]: Taking taylor expansion of 2 in n
2.553 * [backup-simplify]: Simplify 2 into 2
2.553 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.553 * [taylor]: Taking taylor expansion of PI in n
2.553 * [backup-simplify]: Simplify PI into PI
2.553 * [taylor]: Taking taylor expansion of n in n
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 1 into 1
2.553 * [backup-simplify]: Simplify (/ PI 1) into PI
2.554 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.555 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.555 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.555 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.555 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.558 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.559 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.559 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.559 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.559 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.559 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.559 * [taylor]: Taking taylor expansion of 1/2 in n
2.559 * [backup-simplify]: Simplify 1/2 into 1/2
2.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.559 * [taylor]: Taking taylor expansion of 1/2 in n
2.559 * [backup-simplify]: Simplify 1/2 into 1/2
2.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.559 * [taylor]: Taking taylor expansion of k in n
2.559 * [backup-simplify]: Simplify k into k
2.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.559 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.559 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.559 * [taylor]: Taking taylor expansion of 2 in n
2.559 * [backup-simplify]: Simplify 2 into 2
2.559 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.559 * [taylor]: Taking taylor expansion of PI in n
2.560 * [backup-simplify]: Simplify PI into PI
2.560 * [taylor]: Taking taylor expansion of n in n
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.560 * [backup-simplify]: Simplify (/ PI 1) into PI
2.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.561 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.562 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.562 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.562 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.564 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.565 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.566 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.566 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.566 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.566 * [taylor]: Taking taylor expansion of 1/2 in k
2.566 * [backup-simplify]: Simplify 1/2 into 1/2
2.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.566 * [taylor]: Taking taylor expansion of 1/2 in k
2.566 * [backup-simplify]: Simplify 1/2 into 1/2
2.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.566 * [taylor]: Taking taylor expansion of k in k
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (/ 1 1) into 1
2.566 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.566 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.566 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.566 * [taylor]: Taking taylor expansion of 2 in k
2.566 * [backup-simplify]: Simplify 2 into 2
2.566 * [taylor]: Taking taylor expansion of PI in k
2.566 * [backup-simplify]: Simplify PI into PI
2.567 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.568 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.568 * [taylor]: Taking taylor expansion of (log n) in k
2.568 * [taylor]: Taking taylor expansion of n in k
2.568 * [backup-simplify]: Simplify n into n
2.568 * [backup-simplify]: Simplify (log n) into (log n)
2.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.569 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.569 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.569 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.570 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.571 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.572 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.574 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.578 * [backup-simplify]: Simplify (- 0) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.581 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.583 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.583 * [taylor]: Taking taylor expansion of 0 in k
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.588 * [backup-simplify]: Simplify (- 0) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.590 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.591 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.591 * [taylor]: Taking taylor expansion of 0 in k
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.596 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.597 * [backup-simplify]: Simplify (- 0) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.600 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.601 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.601 * [taylor]: Taking taylor expansion of 0 in k
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
2.603 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.603 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.603 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.603 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.603 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.603 * [taylor]: Taking taylor expansion of 1/2 in k
2.603 * [backup-simplify]: Simplify 1/2 into 1/2
2.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.603 * [taylor]: Taking taylor expansion of k in k
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.603 * [backup-simplify]: Simplify (/ 1 1) into 1
2.603 * [taylor]: Taking taylor expansion of 1/2 in k
2.603 * [backup-simplify]: Simplify 1/2 into 1/2
2.603 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.603 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.603 * [taylor]: Taking taylor expansion of -2 in k
2.603 * [backup-simplify]: Simplify -2 into -2
2.603 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.603 * [taylor]: Taking taylor expansion of PI in k
2.603 * [backup-simplify]: Simplify PI into PI
2.603 * [taylor]: Taking taylor expansion of n in k
2.603 * [backup-simplify]: Simplify n into n
2.603 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.603 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.603 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.604 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.604 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.604 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.605 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.605 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.605 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.605 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.605 * [taylor]: Taking taylor expansion of 1/2 in n
2.605 * [backup-simplify]: Simplify 1/2 into 1/2
2.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.605 * [taylor]: Taking taylor expansion of k in n
2.605 * [backup-simplify]: Simplify k into k
2.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.605 * [taylor]: Taking taylor expansion of 1/2 in n
2.605 * [backup-simplify]: Simplify 1/2 into 1/2
2.605 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.605 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.605 * [taylor]: Taking taylor expansion of -2 in n
2.605 * [backup-simplify]: Simplify -2 into -2
2.605 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.605 * [taylor]: Taking taylor expansion of PI in n
2.605 * [backup-simplify]: Simplify PI into PI
2.605 * [taylor]: Taking taylor expansion of n in n
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (/ PI 1) into PI
2.606 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.607 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.607 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.607 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.608 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.609 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.609 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.609 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.609 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.609 * [taylor]: Taking taylor expansion of 1/2 in n
2.609 * [backup-simplify]: Simplify 1/2 into 1/2
2.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.609 * [taylor]: Taking taylor expansion of k in n
2.609 * [backup-simplify]: Simplify k into k
2.609 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.609 * [taylor]: Taking taylor expansion of 1/2 in n
2.610 * [backup-simplify]: Simplify 1/2 into 1/2
2.610 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.610 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.610 * [taylor]: Taking taylor expansion of -2 in n
2.610 * [backup-simplify]: Simplify -2 into -2
2.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.610 * [taylor]: Taking taylor expansion of PI in n
2.610 * [backup-simplify]: Simplify PI into PI
2.610 * [taylor]: Taking taylor expansion of n in n
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (/ PI 1) into PI
2.610 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.611 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.611 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.611 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.613 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.615 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.615 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.615 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.615 * [taylor]: Taking taylor expansion of 1/2 in k
2.615 * [backup-simplify]: Simplify 1/2 into 1/2
2.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.615 * [taylor]: Taking taylor expansion of k in k
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify 1 into 1
2.616 * [backup-simplify]: Simplify (/ 1 1) into 1
2.616 * [taylor]: Taking taylor expansion of 1/2 in k
2.616 * [backup-simplify]: Simplify 1/2 into 1/2
2.616 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.616 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.616 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.616 * [taylor]: Taking taylor expansion of -2 in k
2.616 * [backup-simplify]: Simplify -2 into -2
2.616 * [taylor]: Taking taylor expansion of PI in k
2.616 * [backup-simplify]: Simplify PI into PI
2.617 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.618 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.618 * [taylor]: Taking taylor expansion of (log n) in k
2.618 * [taylor]: Taking taylor expansion of n in k
2.618 * [backup-simplify]: Simplify n into n
2.618 * [backup-simplify]: Simplify (log n) into (log n)
2.619 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.620 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.620 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.621 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.623 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.624 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.626 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.628 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.631 * [backup-simplify]: Simplify (+ 0 0) into 0
2.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.634 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.636 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.636 * [taylor]: Taking taylor expansion of 0 in k
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.638 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.644 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.647 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.649 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.649 * [taylor]: Taking taylor expansion of 0 in k
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.657 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
2.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.659 * [backup-simplify]: Simplify (+ 0 0) into 0
2.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.661 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.663 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.663 * [taylor]: Taking taylor expansion of 0 in k
2.663 * [backup-simplify]: Simplify 0 into 0
2.663 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.664 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.664 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.664 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.664 * [taylor]: Taking taylor expansion of 2 in n
2.664 * [backup-simplify]: Simplify 2 into 2
2.664 * [taylor]: Taking taylor expansion of (* n PI) in n
2.664 * [taylor]: Taking taylor expansion of n in n
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [taylor]: Taking taylor expansion of PI in n
2.664 * [backup-simplify]: Simplify PI into PI
2.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.664 * [taylor]: Taking taylor expansion of 2 in n
2.664 * [backup-simplify]: Simplify 2 into 2
2.664 * [taylor]: Taking taylor expansion of (* n PI) in n
2.664 * [taylor]: Taking taylor expansion of n in n
2.664 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify 1 into 1
2.664 * [taylor]: Taking taylor expansion of PI in n
2.664 * [backup-simplify]: Simplify PI into PI
2.665 * [backup-simplify]: Simplify (* 0 PI) into 0
2.665 * [backup-simplify]: Simplify (* 2 0) into 0
2.665 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.667 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.667 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.671 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.673 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.682 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.682 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.682 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.682 * [taylor]: Taking taylor expansion of 2 in n
2.682 * [backup-simplify]: Simplify 2 into 2
2.682 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.682 * [taylor]: Taking taylor expansion of PI in n
2.682 * [backup-simplify]: Simplify PI into PI
2.682 * [taylor]: Taking taylor expansion of n in n
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (/ PI 1) into PI
2.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.683 * [taylor]: Taking taylor expansion of 2 in n
2.683 * [backup-simplify]: Simplify 2 into 2
2.683 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.683 * [taylor]: Taking taylor expansion of PI in n
2.683 * [backup-simplify]: Simplify PI into PI
2.683 * [taylor]: Taking taylor expansion of n in n
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 1 into 1
2.683 * [backup-simplify]: Simplify (/ PI 1) into PI
2.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.688 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.696 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.700 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.700 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.700 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.700 * [taylor]: Taking taylor expansion of -2 in n
2.700 * [backup-simplify]: Simplify -2 into -2
2.700 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.700 * [taylor]: Taking taylor expansion of PI in n
2.700 * [backup-simplify]: Simplify PI into PI
2.700 * [taylor]: Taking taylor expansion of n in n
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (/ PI 1) into PI
2.701 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.701 * [taylor]: Taking taylor expansion of -2 in n
2.701 * [backup-simplify]: Simplify -2 into -2
2.701 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.701 * [taylor]: Taking taylor expansion of PI in n
2.701 * [backup-simplify]: Simplify PI into PI
2.701 * [taylor]: Taking taylor expansion of n in n
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (/ PI 1) into PI
2.702 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.703 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.706 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.708 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.708 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.711 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.711 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.712 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.712 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.712 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.712 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.712 * [taylor]: Taking taylor expansion of k in k
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.713 * [backup-simplify]: Simplify (/ 1 1) into 1
2.713 * [backup-simplify]: Simplify (sqrt 0) into 0
2.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.714 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.714 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.714 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.714 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.714 * [taylor]: Taking taylor expansion of 1/2 in k
2.714 * [backup-simplify]: Simplify 1/2 into 1/2
2.714 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.714 * [taylor]: Taking taylor expansion of 1/2 in k
2.714 * [backup-simplify]: Simplify 1/2 into 1/2
2.714 * [taylor]: Taking taylor expansion of k in k
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.714 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.714 * [taylor]: Taking taylor expansion of 2 in k
2.714 * [backup-simplify]: Simplify 2 into 2
2.714 * [taylor]: Taking taylor expansion of (* n PI) in k
2.714 * [taylor]: Taking taylor expansion of n in k
2.714 * [backup-simplify]: Simplify n into n
2.714 * [taylor]: Taking taylor expansion of PI in k
2.714 * [backup-simplify]: Simplify PI into PI
2.714 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.714 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.714 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.715 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.715 * [backup-simplify]: Simplify (- 0) into 0
2.715 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.715 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.715 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.715 * [taylor]: Taking taylor expansion of k in n
2.715 * [backup-simplify]: Simplify k into k
2.716 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.716 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.716 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.716 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.716 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.716 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.716 * [taylor]: Taking taylor expansion of 1/2 in n
2.716 * [backup-simplify]: Simplify 1/2 into 1/2
2.716 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.716 * [taylor]: Taking taylor expansion of 1/2 in n
2.716 * [backup-simplify]: Simplify 1/2 into 1/2
2.716 * [taylor]: Taking taylor expansion of k in n
2.716 * [backup-simplify]: Simplify k into k
2.716 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.716 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.716 * [taylor]: Taking taylor expansion of 2 in n
2.716 * [backup-simplify]: Simplify 2 into 2
2.716 * [taylor]: Taking taylor expansion of (* n PI) in n
2.716 * [taylor]: Taking taylor expansion of n in n
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.716 * [taylor]: Taking taylor expansion of PI in n
2.716 * [backup-simplify]: Simplify PI into PI
2.716 * [backup-simplify]: Simplify (* 0 PI) into 0
2.717 * [backup-simplify]: Simplify (* 2 0) into 0
2.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.718 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.719 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.719 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.719 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.719 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.720 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.721 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.721 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.721 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.721 * [taylor]: Taking taylor expansion of k in n
2.721 * [backup-simplify]: Simplify k into k
2.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.721 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.722 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.722 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.722 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.722 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.722 * [taylor]: Taking taylor expansion of 1/2 in n
2.722 * [backup-simplify]: Simplify 1/2 into 1/2
2.722 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.722 * [taylor]: Taking taylor expansion of 1/2 in n
2.722 * [backup-simplify]: Simplify 1/2 into 1/2
2.722 * [taylor]: Taking taylor expansion of k in n
2.722 * [backup-simplify]: Simplify k into k
2.722 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.722 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.722 * [taylor]: Taking taylor expansion of 2 in n
2.722 * [backup-simplify]: Simplify 2 into 2
2.722 * [taylor]: Taking taylor expansion of (* n PI) in n
2.722 * [taylor]: Taking taylor expansion of n in n
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.722 * [taylor]: Taking taylor expansion of PI in n
2.722 * [backup-simplify]: Simplify PI into PI
2.722 * [backup-simplify]: Simplify (* 0 PI) into 0
2.722 * [backup-simplify]: Simplify (* 2 0) into 0
2.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.724 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.725 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.725 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.725 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.725 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.726 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.727 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.728 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.728 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.728 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.728 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.728 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.728 * [taylor]: Taking taylor expansion of 1/2 in k
2.728 * [backup-simplify]: Simplify 1/2 into 1/2
2.728 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.728 * [taylor]: Taking taylor expansion of 1/2 in k
2.728 * [backup-simplify]: Simplify 1/2 into 1/2
2.728 * [taylor]: Taking taylor expansion of k in k
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.728 * [taylor]: Taking taylor expansion of (log n) in k
2.728 * [taylor]: Taking taylor expansion of n in k
2.728 * [backup-simplify]: Simplify n into n
2.728 * [backup-simplify]: Simplify (log n) into (log n)
2.728 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.728 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.728 * [taylor]: Taking taylor expansion of 2 in k
2.728 * [backup-simplify]: Simplify 2 into 2
2.728 * [taylor]: Taking taylor expansion of PI in k
2.728 * [backup-simplify]: Simplify PI into PI
2.728 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.729 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.729 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.729 * [backup-simplify]: Simplify (- 0) into 0
2.730 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.730 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.731 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.732 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.732 * [taylor]: Taking taylor expansion of k in k
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (/ 1 1) into 1
2.732 * [backup-simplify]: Simplify (sqrt 0) into 0
2.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.734 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.738 * [backup-simplify]: Simplify (- 0) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.741 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.743 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.744 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.744 * [taylor]: Taking taylor expansion of 0 in k
2.744 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.745 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.748 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.748 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.749 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.753 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.756 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.757 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.762 * [backup-simplify]: Simplify (- 0) into 0
2.762 * [backup-simplify]: Simplify (+ 0 0) into 0
2.768 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.770 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.772 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.773 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.773 * [taylor]: Taking taylor expansion of 0 in k
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.776 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.780 * [backup-simplify]: Simplify (- 0) into 0
2.780 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.792 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.795 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.800 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.801 * [backup-simplify]: Simplify (- 0) into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.803 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.804 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.806 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.806 * [taylor]: Taking taylor expansion of 0 in k
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 0 into 0
2.806 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.811 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.814 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.815 * [backup-simplify]: Simplify (+ 0 0) into 0
2.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.815 * [backup-simplify]: Simplify (- 0) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.837 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.849 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.868 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.869 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.869 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.869 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.869 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.869 * [taylor]: Taking taylor expansion of k in k
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (sqrt 0) into 0
2.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.878 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.878 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.878 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.878 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.878 * [taylor]: Taking taylor expansion of 1/2 in k
2.878 * [backup-simplify]: Simplify 1/2 into 1/2
2.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.878 * [taylor]: Taking taylor expansion of 1/2 in k
2.878 * [backup-simplify]: Simplify 1/2 into 1/2
2.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.878 * [taylor]: Taking taylor expansion of k in k
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (/ 1 1) into 1
2.879 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.879 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.879 * [taylor]: Taking taylor expansion of 2 in k
2.879 * [backup-simplify]: Simplify 2 into 2
2.879 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.879 * [taylor]: Taking taylor expansion of PI in k
2.879 * [backup-simplify]: Simplify PI into PI
2.879 * [taylor]: Taking taylor expansion of n in k
2.879 * [backup-simplify]: Simplify n into n
2.879 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.879 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.879 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.880 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.880 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.880 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.881 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.881 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.881 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.881 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.881 * [taylor]: Taking taylor expansion of k in n
2.881 * [backup-simplify]: Simplify k into k
2.881 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.881 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.881 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.881 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.881 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.881 * [taylor]: Taking taylor expansion of 1/2 in n
2.881 * [backup-simplify]: Simplify 1/2 into 1/2
2.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.881 * [taylor]: Taking taylor expansion of 1/2 in n
2.881 * [backup-simplify]: Simplify 1/2 into 1/2
2.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.881 * [taylor]: Taking taylor expansion of k in n
2.881 * [backup-simplify]: Simplify k into k
2.881 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.881 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.881 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.881 * [taylor]: Taking taylor expansion of 2 in n
2.881 * [backup-simplify]: Simplify 2 into 2
2.881 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.881 * [taylor]: Taking taylor expansion of PI in n
2.881 * [backup-simplify]: Simplify PI into PI
2.881 * [taylor]: Taking taylor expansion of n in n
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 1 into 1
2.882 * [backup-simplify]: Simplify (/ PI 1) into PI
2.882 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.884 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.884 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.884 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.884 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.886 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.887 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.887 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.887 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.887 * [taylor]: Taking taylor expansion of k in n
2.887 * [backup-simplify]: Simplify k into k
2.887 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.887 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.887 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.887 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.887 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.888 * [taylor]: Taking taylor expansion of 1/2 in n
2.888 * [backup-simplify]: Simplify 1/2 into 1/2
2.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.888 * [taylor]: Taking taylor expansion of 1/2 in n
2.888 * [backup-simplify]: Simplify 1/2 into 1/2
2.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.888 * [taylor]: Taking taylor expansion of k in n
2.888 * [backup-simplify]: Simplify k into k
2.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.888 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.888 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.888 * [taylor]: Taking taylor expansion of 2 in n
2.888 * [backup-simplify]: Simplify 2 into 2
2.888 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.888 * [taylor]: Taking taylor expansion of PI in n
2.888 * [backup-simplify]: Simplify PI into PI
2.888 * [taylor]: Taking taylor expansion of n in n
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 1 into 1
2.888 * [backup-simplify]: Simplify (/ PI 1) into PI
2.889 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.890 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.890 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.890 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.890 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.893 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.894 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.895 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.895 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.895 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.895 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.895 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.895 * [taylor]: Taking taylor expansion of 1/2 in k
2.895 * [backup-simplify]: Simplify 1/2 into 1/2
2.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.895 * [taylor]: Taking taylor expansion of 1/2 in k
2.895 * [backup-simplify]: Simplify 1/2 into 1/2
2.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.895 * [taylor]: Taking taylor expansion of k in k
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify 1 into 1
2.896 * [backup-simplify]: Simplify (/ 1 1) into 1
2.896 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.896 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.896 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.896 * [taylor]: Taking taylor expansion of 2 in k
2.896 * [backup-simplify]: Simplify 2 into 2
2.896 * [taylor]: Taking taylor expansion of PI in k
2.896 * [backup-simplify]: Simplify PI into PI
2.897 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.898 * [taylor]: Taking taylor expansion of (log n) in k
2.898 * [taylor]: Taking taylor expansion of n in k
2.898 * [backup-simplify]: Simplify n into n
2.898 * [backup-simplify]: Simplify (log n) into (log n)
2.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.899 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.899 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.899 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.900 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.901 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.902 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.903 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.903 * [taylor]: Taking taylor expansion of k in k
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [backup-simplify]: Simplify (sqrt 0) into 0
2.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.906 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.910 * [backup-simplify]: Simplify (- 0) into 0
2.911 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.913 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.915 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.916 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.917 * [taylor]: Taking taylor expansion of 0 in k
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.920 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.927 * [backup-simplify]: Simplify (- 0) into 0
2.928 * [backup-simplify]: Simplify (+ 0 0) into 0
2.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.931 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.933 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.935 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.935 * [taylor]: Taking taylor expansion of 0 in k
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.941 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.942 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.951 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.953 * [backup-simplify]: Simplify (- 0) into 0
2.953 * [backup-simplify]: Simplify (+ 0 0) into 0
2.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.956 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.959 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.962 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.962 * [taylor]: Taking taylor expansion of 0 in k
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.969 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.970 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.975 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.976 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.976 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.976 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.976 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.976 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.976 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.976 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.976 * [taylor]: Taking taylor expansion of 1/2 in k
2.976 * [backup-simplify]: Simplify 1/2 into 1/2
2.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.976 * [taylor]: Taking taylor expansion of k in k
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [backup-simplify]: Simplify (/ 1 1) into 1
2.976 * [taylor]: Taking taylor expansion of 1/2 in k
2.977 * [backup-simplify]: Simplify 1/2 into 1/2
2.977 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.977 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.977 * [taylor]: Taking taylor expansion of -2 in k
2.977 * [backup-simplify]: Simplify -2 into -2
2.977 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.977 * [taylor]: Taking taylor expansion of PI in k
2.977 * [backup-simplify]: Simplify PI into PI
2.977 * [taylor]: Taking taylor expansion of n in k
2.977 * [backup-simplify]: Simplify n into n
2.977 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.977 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.977 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.977 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.978 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.978 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.978 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.978 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.978 * [taylor]: Taking taylor expansion of -1 in k
2.978 * [backup-simplify]: Simplify -1 into -1
2.978 * [taylor]: Taking taylor expansion of k in k
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 1 into 1
2.979 * [backup-simplify]: Simplify (/ -1 1) into -1
2.979 * [backup-simplify]: Simplify (sqrt 0) into 0
2.981 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.981 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.981 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.981 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.981 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.981 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.981 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.981 * [taylor]: Taking taylor expansion of 1/2 in n
2.981 * [backup-simplify]: Simplify 1/2 into 1/2
2.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.981 * [taylor]: Taking taylor expansion of k in n
2.981 * [backup-simplify]: Simplify k into k
2.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.982 * [taylor]: Taking taylor expansion of 1/2 in n
2.982 * [backup-simplify]: Simplify 1/2 into 1/2
2.982 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.982 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.982 * [taylor]: Taking taylor expansion of -2 in n
2.982 * [backup-simplify]: Simplify -2 into -2
2.982 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.982 * [taylor]: Taking taylor expansion of PI in n
2.982 * [backup-simplify]: Simplify PI into PI
2.982 * [taylor]: Taking taylor expansion of n in n
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (/ PI 1) into PI
2.983 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.984 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.984 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.984 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.987 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.988 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.988 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.988 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.988 * [taylor]: Taking taylor expansion of -1 in n
2.988 * [backup-simplify]: Simplify -1 into -1
2.988 * [taylor]: Taking taylor expansion of k in n
2.988 * [backup-simplify]: Simplify k into k
2.989 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.989 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.989 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.990 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.990 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.990 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.990 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.990 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.990 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.990 * [taylor]: Taking taylor expansion of 1/2 in n
2.990 * [backup-simplify]: Simplify 1/2 into 1/2
2.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.990 * [taylor]: Taking taylor expansion of k in n
2.991 * [backup-simplify]: Simplify k into k
2.991 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.991 * [taylor]: Taking taylor expansion of 1/2 in n
2.991 * [backup-simplify]: Simplify 1/2 into 1/2
2.991 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.991 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.991 * [taylor]: Taking taylor expansion of -2 in n
2.991 * [backup-simplify]: Simplify -2 into -2
2.991 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.991 * [taylor]: Taking taylor expansion of PI in n
2.991 * [backup-simplify]: Simplify PI into PI
2.991 * [taylor]: Taking taylor expansion of n in n
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify 1 into 1
2.991 * [backup-simplify]: Simplify (/ PI 1) into PI
2.992 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.993 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.993 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.993 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.995 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.995 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.995 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.995 * [taylor]: Taking taylor expansion of -1 in n
2.995 * [backup-simplify]: Simplify -1 into -1
2.995 * [taylor]: Taking taylor expansion of k in n
2.995 * [backup-simplify]: Simplify k into k
2.995 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.995 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.996 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.996 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.997 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.997 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.997 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.997 * [taylor]: Taking taylor expansion of 1/2 in k
2.997 * [backup-simplify]: Simplify 1/2 into 1/2
2.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.997 * [taylor]: Taking taylor expansion of k in k
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [backup-simplify]: Simplify (/ 1 1) into 1
2.997 * [taylor]: Taking taylor expansion of 1/2 in k
2.997 * [backup-simplify]: Simplify 1/2 into 1/2
2.997 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.997 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.997 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.997 * [taylor]: Taking taylor expansion of -2 in k
2.997 * [backup-simplify]: Simplify -2 into -2
2.997 * [taylor]: Taking taylor expansion of PI in k
2.997 * [backup-simplify]: Simplify PI into PI
2.997 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.998 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.998 * [taylor]: Taking taylor expansion of (log n) in k
2.998 * [taylor]: Taking taylor expansion of n in k
2.998 * [backup-simplify]: Simplify n into n
2.998 * [backup-simplify]: Simplify (log n) into (log n)
2.998 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.999 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.999 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.000 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.001 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.001 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.001 * [taylor]: Taking taylor expansion of -1 in k
3.001 * [backup-simplify]: Simplify -1 into -1
3.001 * [taylor]: Taking taylor expansion of k in k
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.001 * [backup-simplify]: Simplify (/ -1 1) into -1
3.001 * [backup-simplify]: Simplify (sqrt 0) into 0
3.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.003 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
3.003 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
3.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.008 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.009 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.009 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
3.010 * [taylor]: Taking taylor expansion of 0 in k
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.017 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.018 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.021 * [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
3.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.026 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.028 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.028 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
3.031 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
3.031 * [taylor]: Taking taylor expansion of 0 in k
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.040 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.041 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
3.045 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
3.045 * * * [progress]: simplifying candidates
3.045 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.045 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
3.045 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.046 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.046 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
3.046 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.046 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.046 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.046 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.046 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.046 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.046 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.047 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.047 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.047 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
3.048 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
3.048 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.048 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.048 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.048 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.048 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
3.048 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.048 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.048 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
3.048 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.048 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.049 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.049 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
3.049 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
3.049 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
3.049 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.049 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
3.049 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.049 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
3.049 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
3.049 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
3.049 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.049 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
3.049 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.049 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
3.049 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.050 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.050 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.050 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.050 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.050 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.050 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.050 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.050 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.050 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.050 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.050 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.050 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.050 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.050 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.050 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.051 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.051 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.051 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.051 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.051 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.051 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
3.051 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.051 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
3.051 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
3.051 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
3.051 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.051 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.051 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.051 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.051 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
3.052 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
3.052 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
3.052 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
3.052 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
3.052 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.052 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
3.052 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.052 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.052 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
3.052 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
3.052 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
3.052 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
3.052 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
3.052 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
3.052 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
3.052 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
3.053 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.053 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
3.053 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
3.053 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
3.053 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.053 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.053 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.053 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
3.053 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
3.053 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
3.056 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (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)))
  (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) 1)
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
3.061 * * [simplify]: iteration 1: (267 enodes)
3.186 * * [simplify]: iteration 2: (644 enodes)
3.752 * * [simplify]: Extracting #0: cost 97 inf + 0
3.753 * * [simplify]: Extracting #1: cost 372 inf + 1
3.757 * * [simplify]: Extracting #2: cost 513 inf + 18891
3.768 * * [simplify]: Extracting #3: cost 411 inf + 87524
3.795 * * [simplify]: Extracting #4: cost 283 inf + 135704
3.850 * * [simplify]: Extracting #5: cost 156 inf + 192203
3.916 * * [simplify]: Extracting #6: cost 96 inf + 227990
3.969 * * [simplify]: Extracting #7: cost 25 inf + 269385
4.069 * * [simplify]: Extracting #8: cost 0 inf + 290477
4.150 * * [simplify]: Extracting #9: cost 0 inf + 287997
4.222 * * [simplify]: Extracting #10: cost 0 inf + 287757
4.326 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 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))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* n (* (* n n) (* PI (* (* PI PI) 8))))
  (* (* (* 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)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ k (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (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) (- 1/2 (/ k 2))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* PI 2) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (+ (* -1/2 (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))) (+ (* (* (* (log n) k) (* (log n) k)) (* (sqrt (* (* PI 2) n)) 1/8)) (+ (+ (* (* (log (* PI 2)) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) 1/8) (sqrt (* (* PI 2) n))) (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* (* (log n) k) k) 1/4)))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (+ (* (* (* (sqrt (* (* PI 2) n)) (* k k)) (log n)) (* (log (* PI 2)) +nan.0)) (- (* (- +nan.0) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) (+ (+ (- (* (* k (sqrt (* (* PI 2) n))) +nan.0) (* (sqrt (* (* PI 2) n)) +nan.0)) (+ (+ (* (* (log (* PI 2)) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) +nan.0) (* (* (* (sqrt (* (* PI 2) n)) (* k k)) (log n)) (- +nan.0))) (+ (- (* (* k k) (* (sqrt (* (* PI 2) n)) +nan.0)) (* (* (* (log (* PI 2)) +nan.0) (sqrt (* (* PI 2) n))) k)) (* (* (log n) k) (* (sqrt (* (* PI 2) n)) +nan.0))))) (* (* (* (* (log n) k) (* (log n) k)) (sqrt (* (* PI 2) n))) (- +nan.0))))))
  (- (+ (- (* (/ +nan.0 (* k k)) (/ (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) k)) (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) k)) (/ (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) k) k)))
  (- (- (/ +nan.0 (/ k (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))))) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))))))
4.346 * * * [progress]: adding candidates to table
5.683 * * [progress]: iteration 2 / 4
5.683 * * * [progress]: picking best candidate
5.714 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
5.714 * * * [progress]: localizing error
5.749 * * * [progress]: generating rewritten candidates
5.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
5.764 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
5.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.804 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.828 * * * [progress]: generating series expansions
5.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
5.829 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
5.829 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
5.829 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.829 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.829 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.829 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.829 * [taylor]: Taking taylor expansion of 1/2 in k
5.829 * [backup-simplify]: Simplify 1/2 into 1/2
5.829 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.829 * [taylor]: Taking taylor expansion of 1/2 in k
5.829 * [backup-simplify]: Simplify 1/2 into 1/2
5.829 * [taylor]: Taking taylor expansion of k in k
5.829 * [backup-simplify]: Simplify 0 into 0
5.829 * [backup-simplify]: Simplify 1 into 1
5.829 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.829 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.829 * [taylor]: Taking taylor expansion of 2 in k
5.829 * [backup-simplify]: Simplify 2 into 2
5.829 * [taylor]: Taking taylor expansion of (* n PI) in k
5.829 * [taylor]: Taking taylor expansion of n in k
5.829 * [backup-simplify]: Simplify n into n
5.829 * [taylor]: Taking taylor expansion of PI in k
5.829 * [backup-simplify]: Simplify PI into PI
5.829 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.829 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.829 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.830 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.831 * [backup-simplify]: Simplify (- 0) into 0
5.831 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.831 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.831 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.831 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.831 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.831 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.831 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.831 * [taylor]: Taking taylor expansion of 1/2 in n
5.831 * [backup-simplify]: Simplify 1/2 into 1/2
5.831 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.831 * [taylor]: Taking taylor expansion of 1/2 in n
5.831 * [backup-simplify]: Simplify 1/2 into 1/2
5.831 * [taylor]: Taking taylor expansion of k in n
5.831 * [backup-simplify]: Simplify k into k
5.831 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.831 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.832 * [taylor]: Taking taylor expansion of 2 in n
5.832 * [backup-simplify]: Simplify 2 into 2
5.832 * [taylor]: Taking taylor expansion of (* n PI) in n
5.832 * [taylor]: Taking taylor expansion of n in n
5.832 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 1 into 1
5.832 * [taylor]: Taking taylor expansion of PI in n
5.832 * [backup-simplify]: Simplify PI into PI
5.832 * [backup-simplify]: Simplify (* 0 PI) into 0
5.832 * [backup-simplify]: Simplify (* 2 0) into 0
5.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.836 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.838 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.838 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.838 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.838 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.840 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.841 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.841 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.841 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.841 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.841 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.841 * [taylor]: Taking taylor expansion of 1/2 in n
5.841 * [backup-simplify]: Simplify 1/2 into 1/2
5.841 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.841 * [taylor]: Taking taylor expansion of 1/2 in n
5.841 * [backup-simplify]: Simplify 1/2 into 1/2
5.841 * [taylor]: Taking taylor expansion of k in n
5.841 * [backup-simplify]: Simplify k into k
5.841 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.842 * [taylor]: Taking taylor expansion of 2 in n
5.842 * [backup-simplify]: Simplify 2 into 2
5.842 * [taylor]: Taking taylor expansion of (* n PI) in n
5.842 * [taylor]: Taking taylor expansion of n in n
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [taylor]: Taking taylor expansion of PI in n
5.842 * [backup-simplify]: Simplify PI into PI
5.842 * [backup-simplify]: Simplify (* 0 PI) into 0
5.842 * [backup-simplify]: Simplify (* 2 0) into 0
5.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.845 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.846 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.846 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.846 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.846 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.848 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.848 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.849 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.850 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
5.850 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
5.850 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.850 * [taylor]: Taking taylor expansion of 1/2 in k
5.850 * [backup-simplify]: Simplify 1/2 into 1/2
5.850 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.850 * [taylor]: Taking taylor expansion of 1/2 in k
5.850 * [backup-simplify]: Simplify 1/2 into 1/2
5.850 * [taylor]: Taking taylor expansion of k in k
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 1 into 1
5.850 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.850 * [taylor]: Taking taylor expansion of (log n) in k
5.850 * [taylor]: Taking taylor expansion of n in k
5.850 * [backup-simplify]: Simplify n into n
5.850 * [backup-simplify]: Simplify (log n) into (log n)
5.850 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.850 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.850 * [taylor]: Taking taylor expansion of 2 in k
5.850 * [backup-simplify]: Simplify 2 into 2
5.850 * [taylor]: Taking taylor expansion of PI in k
5.850 * [backup-simplify]: Simplify PI into PI
5.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.851 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.852 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.852 * [backup-simplify]: Simplify (- 0) into 0
5.853 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.853 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.854 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.855 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.856 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.861 * [backup-simplify]: Simplify (- 0) into 0
5.861 * [backup-simplify]: Simplify (+ 0 0) into 0
5.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.863 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.865 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.865 * [taylor]: Taking taylor expansion of 0 in k
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.869 * [backup-simplify]: Simplify (+ 0 0) into 0
5.869 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.870 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.870 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
5.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.877 * [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)))))))
5.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.882 * [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
5.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.883 * [backup-simplify]: Simplify (- 0) into 0
5.883 * [backup-simplify]: Simplify (+ 0 0) into 0
5.884 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.886 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.894 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.894 * [taylor]: Taking taylor expansion of 0 in k
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.900 * [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
5.900 * [backup-simplify]: Simplify (+ 0 0) into 0
5.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.901 * [backup-simplify]: Simplify (- 0) into 0
5.902 * [backup-simplify]: Simplify (+ 0 0) into 0
5.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.907 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
5.911 * [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)))))
5.917 * [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)))))
5.918 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.918 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
5.918 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.918 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.918 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.918 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.918 * [taylor]: Taking taylor expansion of 1/2 in k
5.918 * [backup-simplify]: Simplify 1/2 into 1/2
5.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.918 * [taylor]: Taking taylor expansion of 1/2 in k
5.918 * [backup-simplify]: Simplify 1/2 into 1/2
5.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.918 * [taylor]: Taking taylor expansion of k in k
5.918 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify 1 into 1
5.918 * [backup-simplify]: Simplify (/ 1 1) into 1
5.918 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.918 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.918 * [taylor]: Taking taylor expansion of 2 in k
5.918 * [backup-simplify]: Simplify 2 into 2
5.918 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.918 * [taylor]: Taking taylor expansion of PI in k
5.918 * [backup-simplify]: Simplify PI into PI
5.918 * [taylor]: Taking taylor expansion of n in k
5.918 * [backup-simplify]: Simplify n into n
5.918 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.918 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.918 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.919 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.919 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.919 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.919 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.919 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.919 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.919 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.919 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.919 * [taylor]: Taking taylor expansion of 1/2 in n
5.919 * [backup-simplify]: Simplify 1/2 into 1/2
5.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.919 * [taylor]: Taking taylor expansion of 1/2 in n
5.919 * [backup-simplify]: Simplify 1/2 into 1/2
5.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.919 * [taylor]: Taking taylor expansion of k in n
5.919 * [backup-simplify]: Simplify k into k
5.919 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.920 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.920 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.920 * [taylor]: Taking taylor expansion of 2 in n
5.920 * [backup-simplify]: Simplify 2 into 2
5.920 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.920 * [taylor]: Taking taylor expansion of PI in n
5.920 * [backup-simplify]: Simplify PI into PI
5.920 * [taylor]: Taking taylor expansion of n in n
5.920 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify 1 into 1
5.920 * [backup-simplify]: Simplify (/ PI 1) into PI
5.920 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.921 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.921 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.921 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.921 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.922 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.923 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.923 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.923 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.923 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.923 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.923 * [taylor]: Taking taylor expansion of 1/2 in n
5.923 * [backup-simplify]: Simplify 1/2 into 1/2
5.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.923 * [taylor]: Taking taylor expansion of 1/2 in n
5.923 * [backup-simplify]: Simplify 1/2 into 1/2
5.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.923 * [taylor]: Taking taylor expansion of k in n
5.923 * [backup-simplify]: Simplify k into k
5.923 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.923 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.923 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.923 * [taylor]: Taking taylor expansion of 2 in n
5.923 * [backup-simplify]: Simplify 2 into 2
5.923 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.923 * [taylor]: Taking taylor expansion of PI in n
5.923 * [backup-simplify]: Simplify PI into PI
5.923 * [taylor]: Taking taylor expansion of n in n
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (/ PI 1) into PI
5.924 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.925 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.925 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.925 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.925 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.927 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.927 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.927 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
5.927 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
5.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.927 * [taylor]: Taking taylor expansion of 1/2 in k
5.927 * [backup-simplify]: Simplify 1/2 into 1/2
5.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.928 * [taylor]: Taking taylor expansion of 1/2 in k
5.928 * [backup-simplify]: Simplify 1/2 into 1/2
5.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.928 * [taylor]: Taking taylor expansion of k in k
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [backup-simplify]: Simplify (/ 1 1) into 1
5.928 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.928 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.928 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.928 * [taylor]: Taking taylor expansion of 2 in k
5.928 * [backup-simplify]: Simplify 2 into 2
5.928 * [taylor]: Taking taylor expansion of PI in k
5.928 * [backup-simplify]: Simplify PI into PI
5.928 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.929 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.929 * [taylor]: Taking taylor expansion of (log n) in k
5.929 * [taylor]: Taking taylor expansion of n in k
5.929 * [backup-simplify]: Simplify n into n
5.929 * [backup-simplify]: Simplify (log n) into (log n)
5.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.929 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.930 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.930 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.930 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.931 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.932 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.932 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.935 * [backup-simplify]: Simplify (- 0) into 0
5.935 * [backup-simplify]: Simplify (+ 0 0) into 0
5.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.937 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.938 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.938 * [taylor]: Taking taylor expansion of 0 in k
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.941 * [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
5.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.942 * [backup-simplify]: Simplify (- 0) into 0
5.942 * [backup-simplify]: Simplify (+ 0 0) into 0
5.944 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.945 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.947 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.947 * [taylor]: Taking taylor expansion of 0 in k
5.947 * [backup-simplify]: Simplify 0 into 0
5.947 * [backup-simplify]: Simplify 0 into 0
5.947 * [backup-simplify]: Simplify 0 into 0
5.947 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.955 * [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
5.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.957 * [backup-simplify]: Simplify (- 0) into 0
5.957 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.960 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.962 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.963 * [taylor]: Taking taylor expansion of 0 in k
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
5.965 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
5.965 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
5.965 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.965 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
5.965 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
5.965 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.965 * [taylor]: Taking taylor expansion of 1/2 in k
5.965 * [backup-simplify]: Simplify 1/2 into 1/2
5.965 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.965 * [taylor]: Taking taylor expansion of k in k
5.965 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 1 into 1
5.966 * [backup-simplify]: Simplify (/ 1 1) into 1
5.966 * [taylor]: Taking taylor expansion of 1/2 in k
5.966 * [backup-simplify]: Simplify 1/2 into 1/2
5.966 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.966 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.966 * [taylor]: Taking taylor expansion of -2 in k
5.966 * [backup-simplify]: Simplify -2 into -2
5.966 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.966 * [taylor]: Taking taylor expansion of PI in k
5.966 * [backup-simplify]: Simplify PI into PI
5.966 * [taylor]: Taking taylor expansion of n in k
5.966 * [backup-simplify]: Simplify n into n
5.966 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.966 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.966 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.967 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.967 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.967 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
5.968 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.968 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
5.968 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
5.968 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.968 * [taylor]: Taking taylor expansion of 1/2 in n
5.968 * [backup-simplify]: Simplify 1/2 into 1/2
5.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.968 * [taylor]: Taking taylor expansion of k in n
5.968 * [backup-simplify]: Simplify k into k
5.968 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.968 * [taylor]: Taking taylor expansion of 1/2 in n
5.968 * [backup-simplify]: Simplify 1/2 into 1/2
5.968 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.968 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.968 * [taylor]: Taking taylor expansion of -2 in n
5.968 * [backup-simplify]: Simplify -2 into -2
5.968 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.968 * [taylor]: Taking taylor expansion of PI in n
5.968 * [backup-simplify]: Simplify PI into PI
5.968 * [taylor]: Taking taylor expansion of n in n
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [backup-simplify]: Simplify (/ PI 1) into PI
5.969 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.970 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.970 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.970 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.972 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.973 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.973 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.973 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
5.973 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
5.973 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.973 * [taylor]: Taking taylor expansion of 1/2 in n
5.973 * [backup-simplify]: Simplify 1/2 into 1/2
5.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.973 * [taylor]: Taking taylor expansion of k in n
5.973 * [backup-simplify]: Simplify k into k
5.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.973 * [taylor]: Taking taylor expansion of 1/2 in n
5.973 * [backup-simplify]: Simplify 1/2 into 1/2
5.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.974 * [taylor]: Taking taylor expansion of -2 in n
5.974 * [backup-simplify]: Simplify -2 into -2
5.974 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.974 * [taylor]: Taking taylor expansion of PI in n
5.974 * [backup-simplify]: Simplify PI into PI
5.974 * [taylor]: Taking taylor expansion of n in n
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [backup-simplify]: Simplify (/ PI 1) into PI
5.974 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.975 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.975 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.976 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.978 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.979 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.979 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
5.979 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
5.979 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.979 * [taylor]: Taking taylor expansion of 1/2 in k
5.979 * [backup-simplify]: Simplify 1/2 into 1/2
5.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.979 * [taylor]: Taking taylor expansion of k in k
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [backup-simplify]: Simplify (/ 1 1) into 1
5.979 * [taylor]: Taking taylor expansion of 1/2 in k
5.979 * [backup-simplify]: Simplify 1/2 into 1/2
5.979 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.979 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.980 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.980 * [taylor]: Taking taylor expansion of -2 in k
5.980 * [backup-simplify]: Simplify -2 into -2
5.980 * [taylor]: Taking taylor expansion of PI in k
5.980 * [backup-simplify]: Simplify PI into PI
5.980 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.981 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.981 * [taylor]: Taking taylor expansion of (log n) in k
5.981 * [taylor]: Taking taylor expansion of n in k
5.981 * [backup-simplify]: Simplify n into n
5.981 * [backup-simplify]: Simplify (log n) into (log n)
5.981 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.982 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.982 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.983 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.984 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.985 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.986 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.987 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.992 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.994 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.994 * [taylor]: Taking taylor expansion of 0 in k
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.996 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.999 * [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
5.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 0) into 0
6.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.003 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
6.006 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.006 * [taylor]: Taking taylor expansion of 0 in k
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.020 * [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
6.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.026 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
6.029 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.029 * [taylor]: Taking taylor expansion of 0 in k
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
6.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
6.031 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
6.031 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
6.031 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.031 * [taylor]: Taking taylor expansion of 2 in n
6.031 * [backup-simplify]: Simplify 2 into 2
6.031 * [taylor]: Taking taylor expansion of (* n PI) in n
6.031 * [taylor]: Taking taylor expansion of n in n
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [taylor]: Taking taylor expansion of PI in n
6.031 * [backup-simplify]: Simplify PI into PI
6.031 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.031 * [taylor]: Taking taylor expansion of 2 in n
6.031 * [backup-simplify]: Simplify 2 into 2
6.031 * [taylor]: Taking taylor expansion of (* n PI) in n
6.031 * [taylor]: Taking taylor expansion of n in n
6.031 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [taylor]: Taking taylor expansion of PI in n
6.031 * [backup-simplify]: Simplify PI into PI
6.032 * [backup-simplify]: Simplify (* 0 PI) into 0
6.032 * [backup-simplify]: Simplify (* 2 0) into 0
6.032 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.035 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.036 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
6.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
6.040 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
6.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
6.043 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
6.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
6.046 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
6.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
6.048 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
6.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
6.050 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
6.050 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
6.050 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.050 * [taylor]: Taking taylor expansion of 2 in n
6.050 * [backup-simplify]: Simplify 2 into 2
6.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.051 * [taylor]: Taking taylor expansion of PI in n
6.051 * [backup-simplify]: Simplify PI into PI
6.051 * [taylor]: Taking taylor expansion of n in n
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (/ PI 1) into PI
6.051 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.051 * [taylor]: Taking taylor expansion of 2 in n
6.051 * [backup-simplify]: Simplify 2 into 2
6.051 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.051 * [taylor]: Taking taylor expansion of PI in n
6.051 * [backup-simplify]: Simplify PI into PI
6.051 * [taylor]: Taking taylor expansion of n in n
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (/ PI 1) into PI
6.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.053 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
6.054 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.055 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.059 * [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
6.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
6.060 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
6.060 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
6.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.060 * [taylor]: Taking taylor expansion of -2 in n
6.060 * [backup-simplify]: Simplify -2 into -2
6.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.060 * [taylor]: Taking taylor expansion of PI in n
6.060 * [backup-simplify]: Simplify PI into PI
6.060 * [taylor]: Taking taylor expansion of n in n
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify 1 into 1
6.061 * [backup-simplify]: Simplify (/ PI 1) into PI
6.061 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.061 * [taylor]: Taking taylor expansion of -2 in n
6.061 * [backup-simplify]: Simplify -2 into -2
6.061 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.061 * [taylor]: Taking taylor expansion of PI in n
6.061 * [backup-simplify]: Simplify PI into PI
6.061 * [taylor]: Taking taylor expansion of n in n
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify 1 into 1
6.061 * [backup-simplify]: Simplify (/ PI 1) into PI
6.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.063 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
6.064 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.065 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.065 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.067 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
6.068 * [backup-simplify]: Simplify 0 into 0
6.069 * [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
6.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
6.070 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
6.070 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
6.070 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
6.070 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
6.070 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
6.070 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
6.071 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
6.071 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
6.071 * [taylor]: Taking taylor expansion of 1/2 in n
6.071 * [backup-simplify]: Simplify 1/2 into 1/2
6.071 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
6.071 * [taylor]: Taking taylor expansion of 1/2 in n
6.071 * [backup-simplify]: Simplify 1/2 into 1/2
6.071 * [taylor]: Taking taylor expansion of k in n
6.071 * [backup-simplify]: Simplify k into k
6.071 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.071 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.071 * [taylor]: Taking taylor expansion of 2 in n
6.071 * [backup-simplify]: Simplify 2 into 2
6.071 * [taylor]: Taking taylor expansion of (* n PI) in n
6.071 * [taylor]: Taking taylor expansion of n in n
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [taylor]: Taking taylor expansion of PI in n
6.071 * [backup-simplify]: Simplify PI into PI
6.071 * [backup-simplify]: Simplify (* 0 PI) into 0
6.071 * [backup-simplify]: Simplify (* 2 0) into 0
6.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.073 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.074 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.074 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
6.074 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
6.074 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
6.075 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.075 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
6.076 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
6.077 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
6.077 * [taylor]: Taking taylor expansion of (sqrt k) in n
6.077 * [taylor]: Taking taylor expansion of k in n
6.077 * [backup-simplify]: Simplify k into k
6.077 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
6.077 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
6.077 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
6.077 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
6.077 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
6.077 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
6.077 * [taylor]: Taking taylor expansion of 1/2 in k
6.077 * [backup-simplify]: Simplify 1/2 into 1/2
6.077 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
6.077 * [taylor]: Taking taylor expansion of 1/2 in k
6.077 * [backup-simplify]: Simplify 1/2 into 1/2
6.077 * [taylor]: Taking taylor expansion of k in k
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
6.077 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
6.077 * [taylor]: Taking taylor expansion of 2 in k
6.077 * [backup-simplify]: Simplify 2 into 2
6.077 * [taylor]: Taking taylor expansion of (* n PI) in k
6.077 * [taylor]: Taking taylor expansion of n in k
6.077 * [backup-simplify]: Simplify n into n
6.077 * [taylor]: Taking taylor expansion of PI in k
6.077 * [backup-simplify]: Simplify PI into PI
6.077 * [backup-simplify]: Simplify (* n PI) into (* n PI)
6.077 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
6.077 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
6.078 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.078 * [backup-simplify]: Simplify (- 0) into 0
6.078 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.078 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
6.078 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
6.079 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
6.079 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.079 * [taylor]: Taking taylor expansion of k in k
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 1 into 1
6.079 * [backup-simplify]: Simplify (sqrt 0) into 0
6.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.080 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
6.080 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
6.080 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
6.080 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
6.080 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
6.080 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
6.080 * [taylor]: Taking taylor expansion of 1/2 in k
6.080 * [backup-simplify]: Simplify 1/2 into 1/2
6.080 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
6.080 * [taylor]: Taking taylor expansion of 1/2 in k
6.080 * [backup-simplify]: Simplify 1/2 into 1/2
6.080 * [taylor]: Taking taylor expansion of k in k
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 1 into 1
6.080 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
6.080 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
6.080 * [taylor]: Taking taylor expansion of 2 in k
6.080 * [backup-simplify]: Simplify 2 into 2
6.080 * [taylor]: Taking taylor expansion of (* n PI) in k
6.080 * [taylor]: Taking taylor expansion of n in k
6.080 * [backup-simplify]: Simplify n into n
6.080 * [taylor]: Taking taylor expansion of PI in k
6.080 * [backup-simplify]: Simplify PI into PI
6.080 * [backup-simplify]: Simplify (* n PI) into (* n PI)
6.080 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
6.080 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
6.080 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.081 * [backup-simplify]: Simplify (- 0) into 0
6.081 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.081 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
6.081 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
6.081 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
6.081 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.081 * [taylor]: Taking taylor expansion of k in k
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 1 into 1
6.082 * [backup-simplify]: Simplify (sqrt 0) into 0
6.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.082 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
6.082 * [taylor]: Taking taylor expansion of 0 in n
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify 0 into 0
6.083 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
6.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
6.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
6.084 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.084 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.084 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
6.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
6.085 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
6.086 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
6.086 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
6.086 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
6.086 * [taylor]: Taking taylor expansion of +nan.0 in n
6.087 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
6.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
6.087 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
6.087 * [taylor]: Taking taylor expansion of (* n PI) in n
6.087 * [taylor]: Taking taylor expansion of n in n
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 1 into 1
6.087 * [taylor]: Taking taylor expansion of PI in n
6.087 * [backup-simplify]: Simplify PI into PI
6.087 * [backup-simplify]: Simplify (* 0 PI) into 0
6.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.088 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
6.088 * [backup-simplify]: Simplify (sqrt 0) into 0
6.089 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
6.090 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
6.090 * [taylor]: Taking taylor expansion of 1/2 in n
6.090 * [backup-simplify]: Simplify 1/2 into 1/2
6.090 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
6.092 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.092 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
6.095 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.097 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.100 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.100 * [backup-simplify]: Simplify 0 into 0
6.103 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.104 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
6.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
6.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
6.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.108 * [backup-simplify]: Simplify (- 0) into 0
6.109 * [backup-simplify]: Simplify (+ 0 0) into 0
6.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
6.111 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
6.114 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
6.120 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
6.120 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
6.120 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
6.120 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
6.120 * [taylor]: Taking taylor expansion of +nan.0 in n
6.120 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.120 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
6.120 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
6.120 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.120 * [taylor]: Taking taylor expansion of 2 in n
6.120 * [backup-simplify]: Simplify 2 into 2
6.127 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.128 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
6.128 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.128 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.128 * [taylor]: Taking taylor expansion of 2 in n
6.128 * [backup-simplify]: Simplify 2 into 2
6.128 * [taylor]: Taking taylor expansion of (* n PI) in n
6.128 * [taylor]: Taking taylor expansion of n in n
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 1 into 1
6.128 * [taylor]: Taking taylor expansion of PI in n
6.128 * [backup-simplify]: Simplify PI into PI
6.129 * [backup-simplify]: Simplify (* 0 PI) into 0
6.129 * [backup-simplify]: Simplify (* 2 0) into 0
6.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.131 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.131 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.131 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
6.131 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
6.131 * [taylor]: Taking taylor expansion of 1/2 in n
6.132 * [backup-simplify]: Simplify 1/2 into 1/2
6.132 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
6.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
6.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
6.132 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
6.132 * [taylor]: Taking taylor expansion of (* n PI) in n
6.132 * [taylor]: Taking taylor expansion of n in n
6.132 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify 1 into 1
6.132 * [taylor]: Taking taylor expansion of PI in n
6.132 * [backup-simplify]: Simplify PI into PI
6.133 * [backup-simplify]: Simplify (* 0 PI) into 0
6.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.134 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
6.134 * [backup-simplify]: Simplify (sqrt 0) into 0
6.135 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
6.135 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
6.135 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
6.135 * [taylor]: Taking taylor expansion of +nan.0 in n
6.135 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.135 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
6.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
6.135 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
6.135 * [taylor]: Taking taylor expansion of (* n PI) in n
6.135 * [taylor]: Taking taylor expansion of n in n
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [taylor]: Taking taylor expansion of PI in n
6.136 * [backup-simplify]: Simplify PI into PI
6.136 * [backup-simplify]: Simplify (* 0 PI) into 0
6.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.137 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
6.137 * [backup-simplify]: Simplify (sqrt 0) into 0
6.138 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
6.138 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
6.138 * [taylor]: Taking taylor expansion of 1/2 in n
6.138 * [backup-simplify]: Simplify 1/2 into 1/2
6.139 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
6.140 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.141 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
6.142 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
6.143 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
6.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.144 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
6.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
6.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.148 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
6.149 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
6.151 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
6.152 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
6.161 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
6.163 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.163 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
6.166 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.168 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
6.176 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
6.186 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
6.200 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
6.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
6.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
6.207 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
6.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
6.223 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
6.226 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
6.228 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
6.243 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
6.243 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
6.243 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
6.243 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.243 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.243 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.243 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.243 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.243 * [taylor]: Taking taylor expansion of 1/2 in n
6.244 * [backup-simplify]: Simplify 1/2 into 1/2
6.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.244 * [taylor]: Taking taylor expansion of 1/2 in n
6.244 * [backup-simplify]: Simplify 1/2 into 1/2
6.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.244 * [taylor]: Taking taylor expansion of k in n
6.244 * [backup-simplify]: Simplify k into k
6.244 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.244 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.244 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.244 * [taylor]: Taking taylor expansion of 2 in n
6.244 * [backup-simplify]: Simplify 2 into 2
6.244 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.244 * [taylor]: Taking taylor expansion of PI in n
6.244 * [backup-simplify]: Simplify PI into PI
6.244 * [taylor]: Taking taylor expansion of n in n
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [backup-simplify]: Simplify (/ PI 1) into PI
6.244 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.245 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.245 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.245 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.245 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.247 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.247 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.248 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
6.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.248 * [taylor]: Taking taylor expansion of k in n
6.248 * [backup-simplify]: Simplify k into k
6.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.248 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
6.249 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
6.249 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.249 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.249 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.249 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.249 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.249 * [taylor]: Taking taylor expansion of 1/2 in k
6.249 * [backup-simplify]: Simplify 1/2 into 1/2
6.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.249 * [taylor]: Taking taylor expansion of 1/2 in k
6.249 * [backup-simplify]: Simplify 1/2 into 1/2
6.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.249 * [taylor]: Taking taylor expansion of k in k
6.249 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify 1 into 1
6.249 * [backup-simplify]: Simplify (/ 1 1) into 1
6.249 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.249 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.249 * [taylor]: Taking taylor expansion of 2 in k
6.249 * [backup-simplify]: Simplify 2 into 2
6.249 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.249 * [taylor]: Taking taylor expansion of PI in k
6.249 * [backup-simplify]: Simplify PI into PI
6.249 * [taylor]: Taking taylor expansion of n in k
6.249 * [backup-simplify]: Simplify n into n
6.249 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.249 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.249 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.250 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.250 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.250 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.250 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.250 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
6.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.250 * [taylor]: Taking taylor expansion of k in k
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [backup-simplify]: Simplify (/ 1 1) into 1
6.251 * [backup-simplify]: Simplify (sqrt 0) into 0
6.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.252 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
6.252 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.252 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.252 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.252 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.252 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.252 * [taylor]: Taking taylor expansion of 1/2 in k
6.252 * [backup-simplify]: Simplify 1/2 into 1/2
6.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.252 * [taylor]: Taking taylor expansion of 1/2 in k
6.252 * [backup-simplify]: Simplify 1/2 into 1/2
6.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.252 * [taylor]: Taking taylor expansion of k in k
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1 1) into 1
6.252 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.252 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.252 * [taylor]: Taking taylor expansion of 2 in k
6.252 * [backup-simplify]: Simplify 2 into 2
6.253 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.253 * [taylor]: Taking taylor expansion of PI in k
6.253 * [backup-simplify]: Simplify PI into PI
6.253 * [taylor]: Taking taylor expansion of n in k
6.253 * [backup-simplify]: Simplify n into n
6.253 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.253 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.253 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.253 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.254 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.254 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.254 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.254 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
6.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.254 * [taylor]: Taking taylor expansion of k in k
6.254 * [backup-simplify]: Simplify 0 into 0
6.254 * [backup-simplify]: Simplify 1 into 1
6.254 * [backup-simplify]: Simplify (/ 1 1) into 1
6.254 * [backup-simplify]: Simplify (sqrt 0) into 0
6.255 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.256 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
6.256 * [taylor]: Taking taylor expansion of 0 in n
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
6.256 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
6.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
6.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.256 * [taylor]: Taking taylor expansion of +nan.0 in n
6.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.256 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.256 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.256 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.256 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.256 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.256 * [taylor]: Taking taylor expansion of 1/2 in n
6.256 * [backup-simplify]: Simplify 1/2 into 1/2
6.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.256 * [taylor]: Taking taylor expansion of 1/2 in n
6.256 * [backup-simplify]: Simplify 1/2 into 1/2
6.256 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.256 * [taylor]: Taking taylor expansion of k in n
6.257 * [backup-simplify]: Simplify k into k
6.257 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.257 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.257 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.257 * [taylor]: Taking taylor expansion of 2 in n
6.257 * [backup-simplify]: Simplify 2 into 2
6.257 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.257 * [taylor]: Taking taylor expansion of PI in n
6.257 * [backup-simplify]: Simplify PI into PI
6.257 * [taylor]: Taking taylor expansion of n in n
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (/ PI 1) into PI
6.257 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.258 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.258 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.258 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.258 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.260 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.261 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.262 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.262 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.263 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.264 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.264 * [backup-simplify]: Simplify 0 into 0
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
6.267 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
6.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
6.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.267 * [taylor]: Taking taylor expansion of +nan.0 in n
6.267 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.267 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.267 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.267 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.267 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.267 * [taylor]: Taking taylor expansion of 1/2 in n
6.267 * [backup-simplify]: Simplify 1/2 into 1/2
6.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.267 * [taylor]: Taking taylor expansion of 1/2 in n
6.267 * [backup-simplify]: Simplify 1/2 into 1/2
6.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.267 * [taylor]: Taking taylor expansion of k in n
6.267 * [backup-simplify]: Simplify k into k
6.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.267 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.267 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.267 * [taylor]: Taking taylor expansion of 2 in n
6.267 * [backup-simplify]: Simplify 2 into 2
6.267 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.267 * [taylor]: Taking taylor expansion of PI in n
6.267 * [backup-simplify]: Simplify PI into PI
6.267 * [taylor]: Taking taylor expansion of n in n
6.267 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 1 into 1
6.268 * [backup-simplify]: Simplify (/ PI 1) into PI
6.268 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.269 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.269 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.269 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.269 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.270 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.271 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.272 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.273 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.273 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.274 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.277 * [backup-simplify]: Simplify (- 0) into 0
6.277 * [backup-simplify]: Simplify (+ 0 0) into 0
6.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.278 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
6.280 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
6.282 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
6.282 * [backup-simplify]: Simplify (- 0) into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
6.286 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
6.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
6.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.286 * [taylor]: Taking taylor expansion of +nan.0 in n
6.286 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.286 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.286 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.286 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.286 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.286 * [taylor]: Taking taylor expansion of 1/2 in n
6.286 * [backup-simplify]: Simplify 1/2 into 1/2
6.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.286 * [taylor]: Taking taylor expansion of 1/2 in n
6.286 * [backup-simplify]: Simplify 1/2 into 1/2
6.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.286 * [taylor]: Taking taylor expansion of k in n
6.286 * [backup-simplify]: Simplify k into k
6.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.286 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.286 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.286 * [taylor]: Taking taylor expansion of 2 in n
6.286 * [backup-simplify]: Simplify 2 into 2
6.286 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.286 * [taylor]: Taking taylor expansion of PI in n
6.286 * [backup-simplify]: Simplify PI into PI
6.286 * [taylor]: Taking taylor expansion of n in n
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (/ PI 1) into PI
6.287 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.288 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.288 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.288 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.288 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.290 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.290 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.291 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.292 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.292 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.293 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
6.298 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
6.299 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
6.299 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
6.299 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.299 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
6.299 * [taylor]: Taking taylor expansion of (/ -1 k) in n
6.299 * [taylor]: Taking taylor expansion of -1 in n
6.299 * [backup-simplify]: Simplify -1 into -1
6.299 * [taylor]: Taking taylor expansion of k in n
6.299 * [backup-simplify]: Simplify k into k
6.299 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
6.299 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
6.299 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
6.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
6.299 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.299 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
6.299 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
6.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.299 * [taylor]: Taking taylor expansion of 1/2 in n
6.299 * [backup-simplify]: Simplify 1/2 into 1/2
6.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.299 * [taylor]: Taking taylor expansion of k in n
6.299 * [backup-simplify]: Simplify k into k
6.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.300 * [taylor]: Taking taylor expansion of 1/2 in n
6.300 * [backup-simplify]: Simplify 1/2 into 1/2
6.300 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.300 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.300 * [taylor]: Taking taylor expansion of -2 in n
6.300 * [backup-simplify]: Simplify -2 into -2
6.300 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.300 * [taylor]: Taking taylor expansion of PI in n
6.300 * [backup-simplify]: Simplify PI into PI
6.300 * [taylor]: Taking taylor expansion of n in n
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [backup-simplify]: Simplify (/ PI 1) into PI
6.301 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.302 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.302 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.302 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.305 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.306 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.307 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.307 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
6.307 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.307 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.307 * [taylor]: Taking taylor expansion of -1 in k
6.307 * [backup-simplify]: Simplify -1 into -1
6.307 * [taylor]: Taking taylor expansion of k in k
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.308 * [backup-simplify]: Simplify (/ -1 1) into -1
6.308 * [backup-simplify]: Simplify (sqrt 0) into 0
6.310 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.310 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.310 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.310 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.310 * [taylor]: Taking taylor expansion of 1/2 in k
6.310 * [backup-simplify]: Simplify 1/2 into 1/2
6.310 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.310 * [taylor]: Taking taylor expansion of k in k
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.310 * [backup-simplify]: Simplify (/ 1 1) into 1
6.310 * [taylor]: Taking taylor expansion of 1/2 in k
6.310 * [backup-simplify]: Simplify 1/2 into 1/2
6.310 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.311 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.311 * [taylor]: Taking taylor expansion of -2 in k
6.311 * [backup-simplify]: Simplify -2 into -2
6.311 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.311 * [taylor]: Taking taylor expansion of PI in k
6.311 * [backup-simplify]: Simplify PI into PI
6.311 * [taylor]: Taking taylor expansion of n in k
6.311 * [backup-simplify]: Simplify n into n
6.311 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.311 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.311 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.312 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.312 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.312 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.312 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.312 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
6.313 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.313 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.313 * [taylor]: Taking taylor expansion of -1 in k
6.313 * [backup-simplify]: Simplify -1 into -1
6.313 * [taylor]: Taking taylor expansion of k in k
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.313 * [backup-simplify]: Simplify (/ -1 1) into -1
6.319 * [backup-simplify]: Simplify (sqrt 0) into 0
6.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.320 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.320 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.321 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.321 * [taylor]: Taking taylor expansion of 1/2 in k
6.321 * [backup-simplify]: Simplify 1/2 into 1/2
6.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.321 * [taylor]: Taking taylor expansion of k in k
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (/ 1 1) into 1
6.321 * [taylor]: Taking taylor expansion of 1/2 in k
6.321 * [backup-simplify]: Simplify 1/2 into 1/2
6.321 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.321 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.321 * [taylor]: Taking taylor expansion of -2 in k
6.321 * [backup-simplify]: Simplify -2 into -2
6.321 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.321 * [taylor]: Taking taylor expansion of PI in k
6.321 * [backup-simplify]: Simplify PI into PI
6.321 * [taylor]: Taking taylor expansion of n in k
6.322 * [backup-simplify]: Simplify n into n
6.322 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.322 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.322 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.323 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.323 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.323 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.323 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.323 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.323 * [taylor]: Taking taylor expansion of +nan.0 in n
6.323 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.324 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.324 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.324 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.324 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.324 * [taylor]: Taking taylor expansion of -2 in n
6.324 * [backup-simplify]: Simplify -2 into -2
6.324 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.324 * [taylor]: Taking taylor expansion of PI in n
6.324 * [backup-simplify]: Simplify PI into PI
6.324 * [taylor]: Taking taylor expansion of n in n
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (/ PI 1) into PI
6.325 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.326 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.326 * [taylor]: Taking taylor expansion of 1/2 in n
6.326 * [backup-simplify]: Simplify 1/2 into 1/2
6.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.326 * [taylor]: Taking taylor expansion of k in n
6.326 * [backup-simplify]: Simplify k into k
6.326 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.326 * [taylor]: Taking taylor expansion of 1/2 in n
6.326 * [backup-simplify]: Simplify 1/2 into 1/2
6.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.328 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.328 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.329 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.330 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.331 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.332 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.336 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.337 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
6.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
6.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.337 * [taylor]: Taking taylor expansion of +nan.0 in n
6.337 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.337 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.337 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.337 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.337 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.338 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.338 * [taylor]: Taking taylor expansion of -2 in n
6.338 * [backup-simplify]: Simplify -2 into -2
6.338 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.338 * [taylor]: Taking taylor expansion of PI in n
6.338 * [backup-simplify]: Simplify PI into PI
6.338 * [taylor]: Taking taylor expansion of n in n
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 1 into 1
6.338 * [backup-simplify]: Simplify (/ PI 1) into PI
6.339 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.340 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.340 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.340 * [taylor]: Taking taylor expansion of 1/2 in n
6.340 * [backup-simplify]: Simplify 1/2 into 1/2
6.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.340 * [taylor]: Taking taylor expansion of k in n
6.340 * [backup-simplify]: Simplify k into k
6.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.340 * [taylor]: Taking taylor expansion of 1/2 in n
6.340 * [backup-simplify]: Simplify 1/2 into 1/2
6.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.341 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.341 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.342 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.344 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.345 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.346 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.347 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
6.348 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
6.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.350 * [backup-simplify]: Simplify (+ 0 0) into 0
6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.352 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
6.355 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
6.357 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.360 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.366 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
6.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
6.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.366 * [taylor]: Taking taylor expansion of +nan.0 in n
6.366 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.366 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.366 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.366 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.366 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.366 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.366 * [taylor]: Taking taylor expansion of -2 in n
6.366 * [backup-simplify]: Simplify -2 into -2
6.366 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.366 * [taylor]: Taking taylor expansion of PI in n
6.366 * [backup-simplify]: Simplify PI into PI
6.366 * [taylor]: Taking taylor expansion of n in n
6.366 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify 1 into 1
6.367 * [backup-simplify]: Simplify (/ PI 1) into PI
6.368 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.369 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.369 * [taylor]: Taking taylor expansion of 1/2 in n
6.369 * [backup-simplify]: Simplify 1/2 into 1/2
6.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.369 * [taylor]: Taking taylor expansion of k in n
6.369 * [backup-simplify]: Simplify k into k
6.369 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.369 * [taylor]: Taking taylor expansion of 1/2 in n
6.369 * [backup-simplify]: Simplify 1/2 into 1/2
6.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.370 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.370 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.371 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.373 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.374 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.375 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.376 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
6.378 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
6.382 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
6.382 * * * * [progress]: [ 4 / 4 ] generating series at (2)
6.383 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
6.383 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
6.383 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
6.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
6.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.383 * [taylor]: Taking taylor expansion of k in n
6.383 * [backup-simplify]: Simplify k into k
6.383 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.384 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
6.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
6.384 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
6.384 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
6.384 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
6.384 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
6.384 * [taylor]: Taking taylor expansion of 1/2 in n
6.384 * [backup-simplify]: Simplify 1/2 into 1/2
6.384 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
6.384 * [taylor]: Taking taylor expansion of 1/2 in n
6.384 * [backup-simplify]: Simplify 1/2 into 1/2
6.384 * [taylor]: Taking taylor expansion of k in n
6.384 * [backup-simplify]: Simplify k into k
6.384 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.384 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.384 * [taylor]: Taking taylor expansion of 2 in n
6.384 * [backup-simplify]: Simplify 2 into 2
6.384 * [taylor]: Taking taylor expansion of (* n PI) in n
6.384 * [taylor]: Taking taylor expansion of n in n
6.384 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify 1 into 1
6.384 * [taylor]: Taking taylor expansion of PI in n
6.384 * [backup-simplify]: Simplify PI into PI
6.385 * [backup-simplify]: Simplify (* 0 PI) into 0
6.385 * [backup-simplify]: Simplify (* 2 0) into 0
6.387 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.389 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.390 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.390 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
6.390 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
6.390 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
6.392 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.394 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
6.395 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
6.395 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
6.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.395 * [taylor]: Taking taylor expansion of k in k
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (/ 1 1) into 1
6.396 * [backup-simplify]: Simplify (sqrt 0) into 0
6.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.398 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
6.398 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
6.398 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
6.398 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
6.398 * [taylor]: Taking taylor expansion of 1/2 in k
6.398 * [backup-simplify]: Simplify 1/2 into 1/2
6.398 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
6.398 * [taylor]: Taking taylor expansion of 1/2 in k
6.398 * [backup-simplify]: Simplify 1/2 into 1/2
6.398 * [taylor]: Taking taylor expansion of k in k
6.398 * [backup-simplify]: Simplify 0 into 0
6.398 * [backup-simplify]: Simplify 1 into 1
6.398 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
6.398 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
6.398 * [taylor]: Taking taylor expansion of 2 in k
6.398 * [backup-simplify]: Simplify 2 into 2
6.398 * [taylor]: Taking taylor expansion of (* n PI) in k
6.398 * [taylor]: Taking taylor expansion of n in k
6.398 * [backup-simplify]: Simplify n into n
6.398 * [taylor]: Taking taylor expansion of PI in k
6.398 * [backup-simplify]: Simplify PI into PI
6.398 * [backup-simplify]: Simplify (* n PI) into (* n PI)
6.398 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
6.398 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
6.399 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.399 * [backup-simplify]: Simplify (- 0) into 0
6.400 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.400 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
6.400 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
6.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
6.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.400 * [taylor]: Taking taylor expansion of k in k
6.400 * [backup-simplify]: Simplify 0 into 0
6.400 * [backup-simplify]: Simplify 1 into 1
6.400 * [backup-simplify]: Simplify (/ 1 1) into 1
6.401 * [backup-simplify]: Simplify (sqrt 0) into 0
6.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.402 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
6.402 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
6.402 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
6.402 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
6.402 * [taylor]: Taking taylor expansion of 1/2 in k
6.402 * [backup-simplify]: Simplify 1/2 into 1/2
6.403 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
6.403 * [taylor]: Taking taylor expansion of 1/2 in k
6.403 * [backup-simplify]: Simplify 1/2 into 1/2
6.403 * [taylor]: Taking taylor expansion of k in k
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.403 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
6.403 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
6.403 * [taylor]: Taking taylor expansion of 2 in k
6.403 * [backup-simplify]: Simplify 2 into 2
6.403 * [taylor]: Taking taylor expansion of (* n PI) in k
6.403 * [taylor]: Taking taylor expansion of n in k
6.403 * [backup-simplify]: Simplify n into n
6.403 * [taylor]: Taking taylor expansion of PI in k
6.403 * [backup-simplify]: Simplify PI into PI
6.403 * [backup-simplify]: Simplify (* n PI) into (* n PI)
6.403 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
6.403 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
6.404 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.404 * [backup-simplify]: Simplify (- 0) into 0
6.404 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.405 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
6.405 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
6.405 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
6.405 * [taylor]: Taking taylor expansion of 0 in n
6.405 * [backup-simplify]: Simplify 0 into 0
6.405 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
6.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
6.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
6.408 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.408 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.409 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
6.410 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
6.410 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
6.410 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
6.410 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
6.410 * [taylor]: Taking taylor expansion of +nan.0 in n
6.410 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.410 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
6.410 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.410 * [taylor]: Taking taylor expansion of 2 in n
6.410 * [backup-simplify]: Simplify 2 into 2
6.411 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.411 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.411 * [taylor]: Taking taylor expansion of (* n PI) in n
6.411 * [taylor]: Taking taylor expansion of n in n
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 1 into 1
6.411 * [taylor]: Taking taylor expansion of PI in n
6.412 * [backup-simplify]: Simplify PI into PI
6.412 * [backup-simplify]: Simplify (* 0 PI) into 0
6.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.414 * [backup-simplify]: Simplify (sqrt 0) into 0
6.415 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.416 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.416 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
6.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
6.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
6.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.421 * [backup-simplify]: Simplify (- 0) into 0
6.421 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
6.423 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.425 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
6.425 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
6.425 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
6.425 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
6.425 * [taylor]: Taking taylor expansion of +nan.0 in n
6.425 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.425 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
6.425 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
6.425 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.425 * [taylor]: Taking taylor expansion of 2 in n
6.425 * [backup-simplify]: Simplify 2 into 2
6.426 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.426 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.426 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.426 * [taylor]: Taking taylor expansion of 2 in n
6.426 * [backup-simplify]: Simplify 2 into 2
6.426 * [taylor]: Taking taylor expansion of (* n PI) in n
6.426 * [taylor]: Taking taylor expansion of n in n
6.426 * [backup-simplify]: Simplify 0 into 0
6.426 * [backup-simplify]: Simplify 1 into 1
6.426 * [taylor]: Taking taylor expansion of PI in n
6.426 * [backup-simplify]: Simplify PI into PI
6.426 * [backup-simplify]: Simplify (* 0 PI) into 0
6.427 * [backup-simplify]: Simplify (* 2 0) into 0
6.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.428 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.429 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.429 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.429 * [taylor]: Taking taylor expansion of (* n PI) in n
6.429 * [taylor]: Taking taylor expansion of n in n
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 1 into 1
6.429 * [taylor]: Taking taylor expansion of PI in n
6.429 * [backup-simplify]: Simplify PI into PI
6.429 * [backup-simplify]: Simplify (* 0 PI) into 0
6.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.431 * [backup-simplify]: Simplify (sqrt 0) into 0
6.431 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.431 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
6.431 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
6.431 * [taylor]: Taking taylor expansion of +nan.0 in n
6.431 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.431 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
6.431 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.431 * [taylor]: Taking taylor expansion of 2 in n
6.432 * [backup-simplify]: Simplify 2 into 2
6.432 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.432 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.432 * [taylor]: Taking taylor expansion of (* n PI) in n
6.432 * [taylor]: Taking taylor expansion of n in n
6.432 * [backup-simplify]: Simplify 0 into 0
6.432 * [backup-simplify]: Simplify 1 into 1
6.432 * [taylor]: Taking taylor expansion of PI in n
6.432 * [backup-simplify]: Simplify PI into PI
6.433 * [backup-simplify]: Simplify (* 0 PI) into 0
6.433 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.434 * [backup-simplify]: Simplify (sqrt 0) into 0
6.434 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.435 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.436 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
6.437 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
6.437 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.438 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.438 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.438 * [backup-simplify]: Simplify (- 0) into 0
6.439 * [backup-simplify]: Simplify (+ 0 0) into 0
6.439 * [backup-simplify]: Simplify (- 0) into 0
6.439 * [backup-simplify]: Simplify 0 into 0
6.441 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.444 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.450 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.453 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.453 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
6.458 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
6.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.459 * [backup-simplify]: Simplify (- 0) into 0
6.460 * [backup-simplify]: Simplify (+ 0 0) into 0
6.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
6.463 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.469 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
6.469 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
6.469 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
6.469 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
6.469 * [taylor]: Taking taylor expansion of +nan.0 in n
6.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.469 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
6.469 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
6.469 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.469 * [taylor]: Taking taylor expansion of 2 in n
6.469 * [backup-simplify]: Simplify 2 into 2
6.470 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.471 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.471 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.471 * [taylor]: Taking taylor expansion of 2 in n
6.471 * [backup-simplify]: Simplify 2 into 2
6.471 * [taylor]: Taking taylor expansion of (* n PI) in n
6.471 * [taylor]: Taking taylor expansion of n in n
6.471 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify 1 into 1
6.471 * [taylor]: Taking taylor expansion of PI in n
6.471 * [backup-simplify]: Simplify PI into PI
6.471 * [backup-simplify]: Simplify (* 0 PI) into 0
6.472 * [backup-simplify]: Simplify (* 2 0) into 0
6.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.475 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.476 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.476 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.476 * [taylor]: Taking taylor expansion of (* n PI) in n
6.476 * [taylor]: Taking taylor expansion of n in n
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [taylor]: Taking taylor expansion of PI in n
6.476 * [backup-simplify]: Simplify PI into PI
6.476 * [backup-simplify]: Simplify (* 0 PI) into 0
6.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.478 * [backup-simplify]: Simplify (sqrt 0) into 0
6.481 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.481 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
6.481 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
6.481 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
6.481 * [taylor]: Taking taylor expansion of +nan.0 in n
6.481 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.481 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
6.481 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
6.481 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.481 * [taylor]: Taking taylor expansion of 2 in n
6.481 * [backup-simplify]: Simplify 2 into 2
6.481 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.482 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
6.482 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
6.482 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
6.482 * [taylor]: Taking taylor expansion of 2 in n
6.482 * [backup-simplify]: Simplify 2 into 2
6.482 * [taylor]: Taking taylor expansion of (* n PI) in n
6.482 * [taylor]: Taking taylor expansion of n in n
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 1 into 1
6.482 * [taylor]: Taking taylor expansion of PI in n
6.482 * [backup-simplify]: Simplify PI into PI
6.483 * [backup-simplify]: Simplify (* 0 PI) into 0
6.483 * [backup-simplify]: Simplify (* 2 0) into 0
6.485 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.486 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
6.487 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.489 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.489 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.489 * [taylor]: Taking taylor expansion of (* n PI) in n
6.489 * [taylor]: Taking taylor expansion of n in n
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.489 * [taylor]: Taking taylor expansion of PI in n
6.489 * [backup-simplify]: Simplify PI into PI
6.490 * [backup-simplify]: Simplify (* 0 PI) into 0
6.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.492 * [backup-simplify]: Simplify (sqrt 0) into 0
6.493 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
6.493 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
6.493 * [taylor]: Taking taylor expansion of +nan.0 in n
6.493 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.493 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
6.493 * [taylor]: Taking taylor expansion of (sqrt 2) in n
6.493 * [taylor]: Taking taylor expansion of 2 in n
6.493 * [backup-simplify]: Simplify 2 into 2
6.493 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.494 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
6.494 * [taylor]: Taking taylor expansion of (* n PI) in n
6.494 * [taylor]: Taking taylor expansion of n in n
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [taylor]: Taking taylor expansion of PI in n
6.494 * [backup-simplify]: Simplify PI into PI
6.494 * [backup-simplify]: Simplify (* 0 PI) into 0
6.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.495 * [backup-simplify]: Simplify (sqrt 0) into 0
6.496 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
6.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.498 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
6.499 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
6.499 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.500 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.502 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
6.503 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
6.504 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
6.504 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.504 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
6.505 * [backup-simplify]: Simplify (* +nan.0 0) into 0
6.505 * [backup-simplify]: Simplify (- 0) into 0
6.505 * [backup-simplify]: Simplify (+ 0 0) into 0
6.505 * [backup-simplify]: Simplify (- 0) into 0
6.505 * [backup-simplify]: Simplify (+ 0 0) into 0
6.506 * [backup-simplify]: Simplify (- 0) into 0
6.506 * [backup-simplify]: Simplify 0 into 0
6.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
6.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
6.510 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
6.511 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
6.514 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
6.516 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.519 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
6.521 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
6.530 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
6.538 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.546 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
6.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.552 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
6.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.558 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.566 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.576 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.579 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.594 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
6.595 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
6.595 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
6.595 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.595 * [taylor]: Taking taylor expansion of (sqrt k) in n
6.595 * [taylor]: Taking taylor expansion of k in n
6.595 * [backup-simplify]: Simplify k into k
6.595 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
6.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
6.595 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.595 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.595 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.595 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.595 * [taylor]: Taking taylor expansion of 1/2 in n
6.595 * [backup-simplify]: Simplify 1/2 into 1/2
6.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.595 * [taylor]: Taking taylor expansion of 1/2 in n
6.595 * [backup-simplify]: Simplify 1/2 into 1/2
6.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.595 * [taylor]: Taking taylor expansion of k in n
6.595 * [backup-simplify]: Simplify k into k
6.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.596 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.596 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.596 * [taylor]: Taking taylor expansion of 2 in n
6.596 * [backup-simplify]: Simplify 2 into 2
6.596 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.596 * [taylor]: Taking taylor expansion of PI in n
6.596 * [backup-simplify]: Simplify PI into PI
6.596 * [taylor]: Taking taylor expansion of n in n
6.596 * [backup-simplify]: Simplify 0 into 0
6.596 * [backup-simplify]: Simplify 1 into 1
6.596 * [backup-simplify]: Simplify (/ PI 1) into PI
6.597 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.598 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.598 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.598 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.601 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.602 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.602 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.602 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.602 * [taylor]: Taking taylor expansion of k in k
6.602 * [backup-simplify]: Simplify 0 into 0
6.602 * [backup-simplify]: Simplify 1 into 1
6.603 * [backup-simplify]: Simplify (sqrt 0) into 0
6.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.604 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.604 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.604 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.604 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.604 * [taylor]: Taking taylor expansion of 1/2 in k
6.605 * [backup-simplify]: Simplify 1/2 into 1/2
6.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.605 * [taylor]: Taking taylor expansion of 1/2 in k
6.605 * [backup-simplify]: Simplify 1/2 into 1/2
6.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.605 * [taylor]: Taking taylor expansion of k in k
6.605 * [backup-simplify]: Simplify 0 into 0
6.605 * [backup-simplify]: Simplify 1 into 1
6.605 * [backup-simplify]: Simplify (/ 1 1) into 1
6.605 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.605 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.605 * [taylor]: Taking taylor expansion of 2 in k
6.605 * [backup-simplify]: Simplify 2 into 2
6.605 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.605 * [taylor]: Taking taylor expansion of PI in k
6.605 * [backup-simplify]: Simplify PI into PI
6.605 * [taylor]: Taking taylor expansion of n in k
6.605 * [backup-simplify]: Simplify n into n
6.605 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.605 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.605 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.606 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.606 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.606 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.606 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.606 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.606 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.606 * [taylor]: Taking taylor expansion of k in k
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (sqrt 0) into 0
6.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.607 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.607 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.607 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.607 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.607 * [taylor]: Taking taylor expansion of 1/2 in k
6.607 * [backup-simplify]: Simplify 1/2 into 1/2
6.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.607 * [taylor]: Taking taylor expansion of 1/2 in k
6.607 * [backup-simplify]: Simplify 1/2 into 1/2
6.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.608 * [taylor]: Taking taylor expansion of k in k
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 1 into 1
6.608 * [backup-simplify]: Simplify (/ 1 1) into 1
6.608 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.608 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.608 * [taylor]: Taking taylor expansion of 2 in k
6.608 * [backup-simplify]: Simplify 2 into 2
6.608 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.608 * [taylor]: Taking taylor expansion of PI in k
6.608 * [backup-simplify]: Simplify PI into PI
6.608 * [taylor]: Taking taylor expansion of n in k
6.608 * [backup-simplify]: Simplify n into n
6.608 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.608 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.608 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.609 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.609 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.609 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.609 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.609 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
6.609 * [taylor]: Taking taylor expansion of 0 in n
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.610 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.610 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.610 * [taylor]: Taking taylor expansion of +nan.0 in n
6.610 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.610 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.610 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.610 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.610 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.610 * [taylor]: Taking taylor expansion of 1/2 in n
6.610 * [backup-simplify]: Simplify 1/2 into 1/2
6.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.610 * [taylor]: Taking taylor expansion of 1/2 in n
6.610 * [backup-simplify]: Simplify 1/2 into 1/2
6.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.610 * [taylor]: Taking taylor expansion of k in n
6.610 * [backup-simplify]: Simplify k into k
6.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.610 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.610 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.610 * [taylor]: Taking taylor expansion of 2 in n
6.610 * [backup-simplify]: Simplify 2 into 2
6.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.610 * [taylor]: Taking taylor expansion of PI in n
6.610 * [backup-simplify]: Simplify PI into PI
6.610 * [taylor]: Taking taylor expansion of n in n
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify 1 into 1
6.610 * [backup-simplify]: Simplify (/ PI 1) into PI
6.611 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.611 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.611 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.611 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.611 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.613 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.614 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.614 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.615 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.616 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.616 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.618 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.618 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.618 * [taylor]: Taking taylor expansion of +nan.0 in n
6.618 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.618 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.618 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.618 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.618 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.618 * [taylor]: Taking taylor expansion of 1/2 in n
6.618 * [backup-simplify]: Simplify 1/2 into 1/2
6.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.618 * [taylor]: Taking taylor expansion of 1/2 in n
6.618 * [backup-simplify]: Simplify 1/2 into 1/2
6.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.618 * [taylor]: Taking taylor expansion of k in n
6.619 * [backup-simplify]: Simplify k into k
6.619 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.619 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.619 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.619 * [taylor]: Taking taylor expansion of 2 in n
6.619 * [backup-simplify]: Simplify 2 into 2
6.619 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.619 * [taylor]: Taking taylor expansion of PI in n
6.619 * [backup-simplify]: Simplify PI into PI
6.619 * [taylor]: Taking taylor expansion of n in n
6.619 * [backup-simplify]: Simplify 0 into 0
6.619 * [backup-simplify]: Simplify 1 into 1
6.619 * [backup-simplify]: Simplify (/ PI 1) into PI
6.619 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.620 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.620 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.620 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.620 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.622 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.622 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.623 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.624 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.624 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.626 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.627 * [backup-simplify]: Simplify (- 0) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.629 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
6.630 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.631 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
6.631 * [backup-simplify]: Simplify (- 0) into 0
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 0 into 0
6.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.636 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.636 * [taylor]: Taking taylor expansion of +nan.0 in n
6.636 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.636 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.636 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.636 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.636 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.636 * [taylor]: Taking taylor expansion of 1/2 in n
6.636 * [backup-simplify]: Simplify 1/2 into 1/2
6.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.636 * [taylor]: Taking taylor expansion of 1/2 in n
6.636 * [backup-simplify]: Simplify 1/2 into 1/2
6.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.636 * [taylor]: Taking taylor expansion of k in n
6.636 * [backup-simplify]: Simplify k into k
6.636 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.636 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.636 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.636 * [taylor]: Taking taylor expansion of 2 in n
6.636 * [backup-simplify]: Simplify 2 into 2
6.636 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.636 * [taylor]: Taking taylor expansion of PI in n
6.636 * [backup-simplify]: Simplify PI into PI
6.636 * [taylor]: Taking taylor expansion of n in n
6.636 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify 1 into 1
6.637 * [backup-simplify]: Simplify (/ PI 1) into PI
6.637 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.638 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.638 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.638 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.640 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.641 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.642 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.643 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.645 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.648 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
6.649 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
6.649 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
6.649 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
6.649 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.649 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
6.649 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
6.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.649 * [taylor]: Taking taylor expansion of 1/2 in n
6.649 * [backup-simplify]: Simplify 1/2 into 1/2
6.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.649 * [taylor]: Taking taylor expansion of k in n
6.649 * [backup-simplify]: Simplify k into k
6.649 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.649 * [taylor]: Taking taylor expansion of 1/2 in n
6.649 * [backup-simplify]: Simplify 1/2 into 1/2
6.649 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.649 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.649 * [taylor]: Taking taylor expansion of -2 in n
6.649 * [backup-simplify]: Simplify -2 into -2
6.649 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.649 * [taylor]: Taking taylor expansion of PI in n
6.649 * [backup-simplify]: Simplify PI into PI
6.649 * [taylor]: Taking taylor expansion of n in n
6.649 * [backup-simplify]: Simplify 0 into 0
6.649 * [backup-simplify]: Simplify 1 into 1
6.650 * [backup-simplify]: Simplify (/ PI 1) into PI
6.650 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.650 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.651 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.651 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.652 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.653 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.653 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
6.653 * [taylor]: Taking taylor expansion of (/ -1 k) in n
6.653 * [taylor]: Taking taylor expansion of -1 in n
6.653 * [backup-simplify]: Simplify -1 into -1
6.653 * [taylor]: Taking taylor expansion of k in n
6.653 * [backup-simplify]: Simplify k into k
6.653 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
6.653 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
6.653 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
6.654 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
6.654 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
6.654 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.654 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.654 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.654 * [taylor]: Taking taylor expansion of 1/2 in k
6.654 * [backup-simplify]: Simplify 1/2 into 1/2
6.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.654 * [taylor]: Taking taylor expansion of k in k
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.654 * [backup-simplify]: Simplify (/ 1 1) into 1
6.654 * [taylor]: Taking taylor expansion of 1/2 in k
6.654 * [backup-simplify]: Simplify 1/2 into 1/2
6.654 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.654 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.654 * [taylor]: Taking taylor expansion of -2 in k
6.654 * [backup-simplify]: Simplify -2 into -2
6.654 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.654 * [taylor]: Taking taylor expansion of PI in k
6.654 * [backup-simplify]: Simplify PI into PI
6.654 * [taylor]: Taking taylor expansion of n in k
6.654 * [backup-simplify]: Simplify n into n
6.654 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.655 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.655 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.655 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.655 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.655 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.655 * [taylor]: Taking taylor expansion of -1 in k
6.655 * [backup-simplify]: Simplify -1 into -1
6.655 * [taylor]: Taking taylor expansion of k in k
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 1 into 1
6.656 * [backup-simplify]: Simplify (/ -1 1) into -1
6.656 * [backup-simplify]: Simplify (sqrt 0) into 0
6.657 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.657 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.657 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
6.657 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.657 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.657 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.657 * [taylor]: Taking taylor expansion of 1/2 in k
6.657 * [backup-simplify]: Simplify 1/2 into 1/2
6.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.657 * [taylor]: Taking taylor expansion of k in k
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify 1 into 1
6.657 * [backup-simplify]: Simplify (/ 1 1) into 1
6.657 * [taylor]: Taking taylor expansion of 1/2 in k
6.657 * [backup-simplify]: Simplify 1/2 into 1/2
6.657 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.657 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.657 * [taylor]: Taking taylor expansion of -2 in k
6.657 * [backup-simplify]: Simplify -2 into -2
6.657 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.657 * [taylor]: Taking taylor expansion of PI in k
6.657 * [backup-simplify]: Simplify PI into PI
6.657 * [taylor]: Taking taylor expansion of n in k
6.657 * [backup-simplify]: Simplify n into n
6.658 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.658 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.658 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.658 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.658 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.658 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.658 * [taylor]: Taking taylor expansion of -1 in k
6.658 * [backup-simplify]: Simplify -1 into -1
6.658 * [taylor]: Taking taylor expansion of k in k
6.658 * [backup-simplify]: Simplify 0 into 0
6.658 * [backup-simplify]: Simplify 1 into 1
6.659 * [backup-simplify]: Simplify (/ -1 1) into -1
6.659 * [backup-simplify]: Simplify (sqrt 0) into 0
6.660 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.660 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.660 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.660 * [taylor]: Taking taylor expansion of +nan.0 in n
6.660 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.660 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.660 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.660 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.660 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.660 * [taylor]: Taking taylor expansion of -2 in n
6.660 * [backup-simplify]: Simplify -2 into -2
6.660 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.660 * [taylor]: Taking taylor expansion of PI in n
6.660 * [backup-simplify]: Simplify PI into PI
6.660 * [taylor]: Taking taylor expansion of n in n
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify 1 into 1
6.661 * [backup-simplify]: Simplify (/ PI 1) into PI
6.661 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.662 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.662 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.662 * [taylor]: Taking taylor expansion of 1/2 in n
6.662 * [backup-simplify]: Simplify 1/2 into 1/2
6.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.662 * [taylor]: Taking taylor expansion of k in n
6.662 * [backup-simplify]: Simplify k into k
6.662 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.662 * [taylor]: Taking taylor expansion of 1/2 in n
6.662 * [backup-simplify]: Simplify 1/2 into 1/2
6.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.663 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.663 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.663 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.664 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.665 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.665 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.668 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
6.668 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.668 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.668 * [taylor]: Taking taylor expansion of +nan.0 in n
6.668 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.668 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.668 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.669 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.669 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.669 * [taylor]: Taking taylor expansion of -2 in n
6.669 * [backup-simplify]: Simplify -2 into -2
6.669 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.669 * [taylor]: Taking taylor expansion of PI in n
6.669 * [backup-simplify]: Simplify PI into PI
6.669 * [taylor]: Taking taylor expansion of n in n
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (/ PI 1) into PI
6.669 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.670 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.670 * [taylor]: Taking taylor expansion of 1/2 in n
6.670 * [backup-simplify]: Simplify 1/2 into 1/2
6.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.670 * [taylor]: Taking taylor expansion of k in n
6.670 * [backup-simplify]: Simplify k into k
6.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.670 * [taylor]: Taking taylor expansion of 1/2 in n
6.670 * [backup-simplify]: Simplify 1/2 into 1/2
6.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.671 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.671 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.672 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.672 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.673 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.674 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.674 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.676 * [backup-simplify]: Simplify (+ 0 0) into 0
6.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
6.685 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
6.686 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.687 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.691 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
6.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.691 * [taylor]: Taking taylor expansion of +nan.0 in n
6.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.691 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.691 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.691 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.691 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.691 * [taylor]: Taking taylor expansion of -2 in n
6.691 * [backup-simplify]: Simplify -2 into -2
6.691 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.691 * [taylor]: Taking taylor expansion of PI in n
6.691 * [backup-simplify]: Simplify PI into PI
6.691 * [taylor]: Taking taylor expansion of n in n
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify 1 into 1
6.691 * [backup-simplify]: Simplify (/ PI 1) into PI
6.692 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.692 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.692 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.692 * [taylor]: Taking taylor expansion of 1/2 in n
6.692 * [backup-simplify]: Simplify 1/2 into 1/2
6.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.692 * [taylor]: Taking taylor expansion of k in n
6.692 * [backup-simplify]: Simplify k into k
6.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.692 * [taylor]: Taking taylor expansion of 1/2 in n
6.692 * [backup-simplify]: Simplify 1/2 into 1/2
6.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.693 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.694 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.695 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.695 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.696 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.697 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.699 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
6.699 * * * [progress]: simplifying candidates
6.699 * * * * [progress]: [ 1 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 2 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 3 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 4 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 5 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 6 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 7 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 8 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))))))>
6.700 * * * * [progress]: [ 9 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 10 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 11 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
6.700 * * * * [progress]: [ 12 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
6.700 * * * * [progress]: [ 13 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
6.700 * * * * [progress]: [ 14 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
6.700 * * * * [progress]: [ 15 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.700 * * * * [progress]: [ 16 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.700 * * * * [progress]: [ 17 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.700 * * * * [progress]: [ 18 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1))))>
6.700 * * * * [progress]: [ 19 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.700 * * * * [progress]: [ 20 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.700 * * * * [progress]: [ 21 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.701 * * * * [progress]: [ 22 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.701 * * * * [progress]: [ 23 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.701 * * * * [progress]: [ 24 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.701 * * * * [progress]: [ 25 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.701 * * * * [progress]: [ 26 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.701 * * * * [progress]: [ 27 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
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6.701 * * * * [progress]: [ 47 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
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6.702 * * * * [progress]: [ 53 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.702 * * * * [progress]: [ 54 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.702 * * * * [progress]: [ 55 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.702 * * * * [progress]: [ 56 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.702 * * * * [progress]: [ 57 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.702 * * * * [progress]: [ 58 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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6.702 * * * * [progress]: [ 61 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.702 * * * * [progress]: [ 62 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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6.702 * * * * [progress]: [ 64 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.702 * * * * [progress]: [ 65 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.702 * * * * [progress]: [ 66 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.702 * * * * [progress]: [ 67 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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6.703 * * * * [progress]: [ 72 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
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6.704 * * * * [progress]: [ 111 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
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6.705 * * * * [progress]: [ 136 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.705 * * * * [progress]: [ 137 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.705 * * * * [progress]: [ 138 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 139 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 140 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 141 / 355 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 142 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 143 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.705 * * * * [progress]: [ 144 / 355 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 145 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 146 / 355 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 147 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 148 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 149 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 150 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 151 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 152 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 153 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 154 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 155 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 156 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.706 * * * * [progress]: [ 157 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 158 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 159 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 160 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 161 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.706 * * * * [progress]: [ 162 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 163 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.706 * * * * [progress]: [ 164 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 165 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.706 * * * * [progress]: [ 166 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.706 * * * * [progress]: [ 167 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 168 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 169 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 170 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.707 * * * * [progress]: [ 171 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 172 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 173 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 174 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 175 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 176 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 177 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.707 * * * * [progress]: [ 178 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 179 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 180 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 181 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 182 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 183 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 184 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.707 * * * * [progress]: [ 185 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 186 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.707 * * * * [progress]: [ 187 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.707 * * * * [progress]: [ 188 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.707 * * * * [progress]: [ 189 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 190 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 191 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.708 * * * * [progress]: [ 192 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 193 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 194 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
6.708 * * * * [progress]: [ 195 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 196 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 197 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 198 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 199 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 200 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 201 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 202 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 203 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.708 * * * * [progress]: [ 204 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 205 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 206 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 207 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 208 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.708 * * * * [progress]: [ 209 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.708 * * * * [progress]: [ 210 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.708 * * * * [progress]: [ 211 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 212 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.708 * * * * [progress]: [ 213 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.709 * * * * [progress]: [ 214 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.709 * * * * [progress]: [ 215 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.709 * * * * [progress]: [ 216 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.709 * * * * [progress]: [ 217 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.709 * * * * [progress]: [ 218 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.709 * * * * [progress]: [ 219 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.709 * * * * [progress]: [ 220 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.709 * * * * [progress]: [ 221 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.709 * * * * [progress]: [ 222 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.709 * * * * [progress]: [ 223 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.709 * * * * [progress]: [ 224 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.709 * * * * [progress]: [ 225 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.709 * * * * [progress]: [ 226 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.709 * * * * [progress]: [ 227 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.710 * * * * [progress]: [ 228 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.710 * * * * [progress]: [ 229 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.710 * * * * [progress]: [ 230 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.710 * * * * [progress]: [ 231 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.710 * * * * [progress]: [ 232 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.710 * * * * [progress]: [ 233 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.710 * * * * [progress]: [ 234 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.710 * * * * [progress]: [ 235 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.710 * * * * [progress]: [ 236 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.711 * * * * [progress]: [ 237 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.711 * * * * [progress]: [ 238 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.711 * * * * [progress]: [ 239 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.711 * * * * [progress]: [ 240 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.711 * * * * [progress]: [ 241 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
6.711 * * * * [progress]: [ 242 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.711 * * * * [progress]: [ 243 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.711 * * * * [progress]: [ 244 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.711 * * * * [progress]: [ 245 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.711 * * * * [progress]: [ 246 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.711 * * * * [progress]: [ 247 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.711 * * * * [progress]: [ 248 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.711 * * * * [progress]: [ 249 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.712 * * * * [progress]: [ 250 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.712 * * * * [progress]: [ 251 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.712 * * * * [progress]: [ 252 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.712 * * * * [progress]: [ 253 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.712 * * * * [progress]: [ 254 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.712 * * * * [progress]: [ 255 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.712 * * * * [progress]: [ 256 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.712 * * * * [progress]: [ 257 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.712 * * * * [progress]: [ 258 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.712 * * * * [progress]: [ 259 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.712 * * * * [progress]: [ 260 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.712 * * * * [progress]: [ 261 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.713 * * * * [progress]: [ 262 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.713 * * * * [progress]: [ 263 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.713 * * * * [progress]: [ 264 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.713 * * * * [progress]: [ 265 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.713 * * * * [progress]: [ 266 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.713 * * * * [progress]: [ 267 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.713 * * * * [progress]: [ 268 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.713 * * * * [progress]: [ 269 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.713 * * * * [progress]: [ 270 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.713 * * * * [progress]: [ 271 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.713 * * * * [progress]: [ 272 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.713 * * * * [progress]: [ 273 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.713 * * * * [progress]: [ 274 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.714 * * * * [progress]: [ 275 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.714 * * * * [progress]: [ 276 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.714 * * * * [progress]: [ 277 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.714 * * * * [progress]: [ 278 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.714 * * * * [progress]: [ 279 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.714 * * * * [progress]: [ 280 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.714 * * * * [progress]: [ 281 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.714 * * * * [progress]: [ 282 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.714 * * * * [progress]: [ 283 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.714 * * * * [progress]: [ 284 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.714 * * * * [progress]: [ 285 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.714 * * * * [progress]: [ 286 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.714 * * * * [progress]: [ 287 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 288 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))>
6.715 * * * * [progress]: [ 289 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 290 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 291 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
6.715 * * * * [progress]: [ 292 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 293 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 294 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.715 * * * * [progress]: [ 295 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.715 * * * * [progress]: [ 296 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.715 * * * * [progress]: [ 297 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 298 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.715 * * * * [progress]: [ 299 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.716 * * * * [progress]: [ 300 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.716 * * * * [progress]: [ 301 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.716 * * * * [progress]: [ 302 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.716 * * * * [progress]: [ 303 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.716 * * * * [progress]: [ 304 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.716 * * * * [progress]: [ 305 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.716 * * * * [progress]: [ 306 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.716 * * * * [progress]: [ 307 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.716 * * * * [progress]: [ 308 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.716 * * * * [progress]: [ 309 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.716 * * * * [progress]: [ 310 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.716 * * * * [progress]: [ 311 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.716 * * * * [progress]: [ 312 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.717 * * * * [progress]: [ 313 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.717 * * * * [progress]: [ 314 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.717 * * * * [progress]: [ 315 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.717 * * * * [progress]: [ 316 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.717 * * * * [progress]: [ 317 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.717 * * * * [progress]: [ 318 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.717 * * * * [progress]: [ 319 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.717 * * * * [progress]: [ 320 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.717 * * * * [progress]: [ 321 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.717 * * * * [progress]: [ 322 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.717 * * * * [progress]: [ 323 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.717 * * * * [progress]: [ 324 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 325 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.718 * * * * [progress]: [ 326 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.718 * * * * [progress]: [ 327 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 328 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.718 * * * * [progress]: [ 329 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.718 * * * * [progress]: [ 330 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.718 * * * * [progress]: [ 331 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 332 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.718 * * * * [progress]: [ 333 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.718 * * * * [progress]: [ 334 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 335 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.718 * * * * [progress]: [ 336 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 337 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.718 * * * * [progress]: [ 338 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (pow (* n (* 2 PI)) (/ k 2))))>
6.719 * * * * [progress]: [ 339 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))))>
6.719 * * * * [progress]: [ 340 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))))>
6.719 * * * * [progress]: [ 341 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
6.719 * * * * [progress]: [ 342 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))>
6.719 * * * * [progress]: [ 343 / 355 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.719 * * * * [progress]: [ 344 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
6.719 * * * * [progress]: [ 345 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
6.719 * * * * [progress]: [ 346 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
6.719 * * * * [progress]: [ 347 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.719 * * * * [progress]: [ 348 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.719 * * * * [progress]: [ 349 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.719 * * * * [progress]: [ 350 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
6.719 * * * * [progress]: [ 351 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
6.720 * * * * [progress]: [ 352 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
6.720 * * * * [progress]: [ 353 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
6.720 * * * * [progress]: [ 354 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
6.720 * * * * [progress]: [ 355 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
6.729 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (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)))
  (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- 1)
  (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
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  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (pow (* n (* 2 PI)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
6.746 * * [simplify]: iteration 1: (532 enodes)
7.950 * * [simplify]: iteration 2: (1424 enodes)
12.374 * * [simplify]: Extracting #0: cost 164 inf + 0
12.378 * * [simplify]: Extracting #1: cost 765 inf + 2
12.386 * * [simplify]: Extracting #2: cost 1061 inf + 4150
12.405 * * [simplify]: Extracting #3: cost 1062 inf + 39468
12.454 * * [simplify]: Extracting #4: cost 768 inf + 149237
12.506 * * [simplify]: Extracting #5: cost 395 inf + 296582
12.590 * * [simplify]: Extracting #6: cost 88 inf + 441130
12.691 * * [simplify]: Extracting #7: cost 16 inf + 476243
12.810 * * [simplify]: Extracting #8: cost 0 inf + 485961
12.921 * * [simplify]: Extracting #9: cost 0 inf + 485441
13.075 * [simplify]: Simplified to:
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 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))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* n (* n (* (* (* (* PI PI) 8) PI) n)))
  (* (* (* 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)))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (exp (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (sqrt k) k) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (* (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (fabs (cbrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (/ (fabs (cbrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (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)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
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  (* (/ 1 (fabs (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (cbrt k))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (* 1 (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (fabs (cbrt k)))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt (cbrt k))))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (* 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (* 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ 1 (sqrt k))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (/ k 2)))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* (* PI 2) n)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* (* PI 2) n)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (fabs (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (sqrt k))
  (real->posit16 (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (- (+ (+ (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (* (log n) (* k k)))) (+ (* (* 1/8 (sqrt (* (* PI 2) n))) (* (log n) (* (log n) (* k k)))) (sqrt (* (* PI 2) n)))) (* (* (sqrt (* (* PI 2) n)) (* k k)) (* (* (log (* PI 2)) (log (* PI 2))) 1/8))) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (log (* PI 2)) (sqrt (* (* PI 2) n))))) 1/2))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (+ (* (* (/ (sqrt 2) PI) (* (* (log (* PI 2)) 1/2) (* k k))) (- +nan.0)) (- (* +nan.0 (* (/ (sqrt 1/2) PI) (* k k))) (- (/ (* n +nan.0) (/ PI (/ (* k (sqrt 1/2)) PI))) (* +nan.0 (- (/ (log n) (/ (/ PI (* k (* k 1/2))) (sqrt 2))) (/ (* k (sqrt 1/2)) PI))))))
  (+ (/ (- +nan.0) (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k)) (- (/ +nan.0 (* k (* k (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))))) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))))))
  (- (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) (* k k)) (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) k) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))))))
  (- (* (- +nan.0) (* (sqrt 2) (* k (* PI n)))) (+ (* (* (sqrt 2) +nan.0) (- (* PI n))) (- (* (* (sqrt 2) (* k (* PI n))) (* +nan.0 (log (* PI 2)))) (* (* (sqrt 2) +nan.0) (- (* (* PI n) (* (log n) k)) (* (* n PI) (* n PI)))))))
  (- (- (* (/ +nan.0 (* k k)) (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k) (/ (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k) k)))))
  (- (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (/ k +nan.0)) (* +nan.0 (- (/ (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) k) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))))))
13.131 * * * [progress]: adding candidates to table
16.771 * * [progress]: iteration 3 / 4
16.771 * * * [progress]: picking best candidate
16.811 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
16.811 * * * [progress]: localizing error
16.836 * * * [progress]: generating rewritten candidates
16.837 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
16.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
16.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
16.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
16.925 * * * [progress]: generating series expansions
16.925 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
16.926 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k))))
16.926 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in (n k) around 0
16.926 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in k
16.926 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in k
16.926 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in k
16.926 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in k
16.926 * [taylor]: Taking taylor expansion of 1/2 in k
16.926 * [backup-simplify]: Simplify 1/2 into 1/2
16.926 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.926 * [taylor]: Taking taylor expansion of 1/2 in k
16.926 * [backup-simplify]: Simplify 1/2 into 1/2
16.926 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.926 * [taylor]: Taking taylor expansion of 1/2 in k
16.926 * [backup-simplify]: Simplify 1/2 into 1/2
16.926 * [taylor]: Taking taylor expansion of k in k
16.926 * [backup-simplify]: Simplify 0 into 0
16.926 * [backup-simplify]: Simplify 1 into 1
16.926 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
16.926 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
16.926 * [taylor]: Taking taylor expansion of 2 in k
16.926 * [backup-simplify]: Simplify 2 into 2
16.926 * [taylor]: Taking taylor expansion of (* n PI) in k
16.926 * [taylor]: Taking taylor expansion of n in k
16.926 * [backup-simplify]: Simplify n into n
16.926 * [taylor]: Taking taylor expansion of PI in k
16.926 * [backup-simplify]: Simplify PI into PI
16.926 * [backup-simplify]: Simplify (* n PI) into (* n PI)
16.926 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
16.926 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
16.926 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.927 * [backup-simplify]: Simplify (- 0) into 0
16.927 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.927 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
16.927 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
16.927 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
16.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
16.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
16.927 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
16.927 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
16.927 * [taylor]: Taking taylor expansion of 1/2 in n
16.927 * [backup-simplify]: Simplify 1/2 into 1/2
16.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.927 * [taylor]: Taking taylor expansion of 1/2 in n
16.927 * [backup-simplify]: Simplify 1/2 into 1/2
16.927 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.927 * [taylor]: Taking taylor expansion of 1/2 in n
16.928 * [backup-simplify]: Simplify 1/2 into 1/2
16.928 * [taylor]: Taking taylor expansion of k in n
16.928 * [backup-simplify]: Simplify k into k
16.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.928 * [taylor]: Taking taylor expansion of 2 in n
16.928 * [backup-simplify]: Simplify 2 into 2
16.928 * [taylor]: Taking taylor expansion of (* n PI) in n
16.928 * [taylor]: Taking taylor expansion of n in n
16.928 * [backup-simplify]: Simplify 0 into 0
16.928 * [backup-simplify]: Simplify 1 into 1
16.928 * [taylor]: Taking taylor expansion of PI in n
16.928 * [backup-simplify]: Simplify PI into PI
16.928 * [backup-simplify]: Simplify (* 0 PI) into 0
16.928 * [backup-simplify]: Simplify (* 2 0) into 0
16.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.930 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.931 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.931 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.931 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.931 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
16.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.932 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
16.933 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
16.933 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
16.933 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
16.933 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
16.933 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
16.933 * [taylor]: Taking taylor expansion of 1/2 in n
16.933 * [backup-simplify]: Simplify 1/2 into 1/2
16.933 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.933 * [taylor]: Taking taylor expansion of 1/2 in n
16.933 * [backup-simplify]: Simplify 1/2 into 1/2
16.933 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.933 * [taylor]: Taking taylor expansion of 1/2 in n
16.933 * [backup-simplify]: Simplify 1/2 into 1/2
16.933 * [taylor]: Taking taylor expansion of k in n
16.933 * [backup-simplify]: Simplify k into k
16.933 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.933 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.933 * [taylor]: Taking taylor expansion of 2 in n
16.933 * [backup-simplify]: Simplify 2 into 2
16.933 * [taylor]: Taking taylor expansion of (* n PI) in n
16.933 * [taylor]: Taking taylor expansion of n in n
16.933 * [backup-simplify]: Simplify 0 into 0
16.933 * [backup-simplify]: Simplify 1 into 1
16.933 * [taylor]: Taking taylor expansion of PI in n
16.933 * [backup-simplify]: Simplify PI into PI
16.934 * [backup-simplify]: Simplify (* 0 PI) into 0
16.934 * [backup-simplify]: Simplify (* 2 0) into 0
16.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.936 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.936 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.936 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.936 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.936 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
16.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.938 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
16.938 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
16.939 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
16.939 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
16.939 * [taylor]: Taking taylor expansion of 1/2 in k
16.939 * [backup-simplify]: Simplify 1/2 into 1/2
16.939 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
16.939 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.939 * [taylor]: Taking taylor expansion of 1/2 in k
16.939 * [backup-simplify]: Simplify 1/2 into 1/2
16.939 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.939 * [taylor]: Taking taylor expansion of 1/2 in k
16.939 * [backup-simplify]: Simplify 1/2 into 1/2
16.939 * [taylor]: Taking taylor expansion of k in k
16.939 * [backup-simplify]: Simplify 0 into 0
16.939 * [backup-simplify]: Simplify 1 into 1
16.939 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
16.939 * [taylor]: Taking taylor expansion of (log n) in k
16.939 * [taylor]: Taking taylor expansion of n in k
16.939 * [backup-simplify]: Simplify n into n
16.939 * [backup-simplify]: Simplify (log n) into (log n)
16.939 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.939 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.939 * [taylor]: Taking taylor expansion of 2 in k
16.939 * [backup-simplify]: Simplify 2 into 2
16.939 * [taylor]: Taking taylor expansion of PI in k
16.939 * [backup-simplify]: Simplify PI into PI
16.939 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.940 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.940 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.940 * [backup-simplify]: Simplify (- 0) into 0
16.941 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.941 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.942 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
16.942 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (+ (log n) (log (* 2 PI))))) into (* 1/4 (+ (log n) (log (* 2 PI))))
16.943 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.944 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
16.946 * [backup-simplify]: Simplify (- 0) into 0
16.947 * [backup-simplify]: Simplify (+ 0 0) into 0
16.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 k)))) into 0
16.948 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.948 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
16.949 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.949 * [taylor]: Taking taylor expansion of 0 in k
16.949 * [backup-simplify]: Simplify 0 into 0
16.949 * [backup-simplify]: Simplify 0 into 0
16.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.952 * [backup-simplify]: Simplify (+ 0 0) into 0
16.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.952 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.952 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
16.955 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI)))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
16.957 * [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)))))))
16.958 * [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)))))))
16.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.965 * [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
16.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
16.966 * [backup-simplify]: Simplify (- 0) into 0
16.966 * [backup-simplify]: Simplify (+ 0 0) into 0
16.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 k))))) into 0
16.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.971 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.971 * [taylor]: Taking taylor expansion of 0 in k
16.971 * [backup-simplify]: Simplify 0 into 0
16.971 * [backup-simplify]: Simplify 0 into 0
16.971 * [backup-simplify]: Simplify 0 into 0
16.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.974 * [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
16.975 * [backup-simplify]: Simplify (+ 0 0) into 0
16.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.975 * [backup-simplify]: Simplify (- 0) into 0
16.976 * [backup-simplify]: Simplify (+ 0 0) into 0
16.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI))))))) into 0
16.981 * [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)))))
16.984 * [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)))))
16.989 * [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)))))))
16.990 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1/2 (/ (/ 1 k) 2)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))))
16.990 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
16.990 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in k
16.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in k
16.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in k
16.990 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in k
16.990 * [taylor]: Taking taylor expansion of 1/2 in k
16.990 * [backup-simplify]: Simplify 1/2 into 1/2
16.990 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.990 * [taylor]: Taking taylor expansion of 1/2 in k
16.990 * [backup-simplify]: Simplify 1/2 into 1/2
16.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.990 * [taylor]: Taking taylor expansion of 1/2 in k
16.990 * [backup-simplify]: Simplify 1/2 into 1/2
16.990 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.990 * [taylor]: Taking taylor expansion of k in k
16.990 * [backup-simplify]: Simplify 0 into 0
16.990 * [backup-simplify]: Simplify 1 into 1
16.990 * [backup-simplify]: Simplify (/ 1 1) into 1
16.990 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
16.990 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
16.990 * [taylor]: Taking taylor expansion of 2 in k
16.990 * [backup-simplify]: Simplify 2 into 2
16.990 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.990 * [taylor]: Taking taylor expansion of PI in k
16.990 * [backup-simplify]: Simplify PI into PI
16.990 * [taylor]: Taking taylor expansion of n in k
16.990 * [backup-simplify]: Simplify n into n
16.990 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.990 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
16.990 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
16.991 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.991 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.991 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.991 * [backup-simplify]: Simplify (* 1/2 -1/2) into -1/4
16.991 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
16.992 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))))
16.992 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
16.992 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
16.992 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
16.992 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
16.992 * [taylor]: Taking taylor expansion of 1/2 in n
16.992 * [backup-simplify]: Simplify 1/2 into 1/2
16.992 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.992 * [taylor]: Taking taylor expansion of 1/2 in n
16.992 * [backup-simplify]: Simplify 1/2 into 1/2
16.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.992 * [taylor]: Taking taylor expansion of 1/2 in n
16.992 * [backup-simplify]: Simplify 1/2 into 1/2
16.992 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.992 * [taylor]: Taking taylor expansion of k in n
16.992 * [backup-simplify]: Simplify k into k
16.992 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.992 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.992 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.992 * [taylor]: Taking taylor expansion of 2 in n
16.992 * [backup-simplify]: Simplify 2 into 2
16.992 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.992 * [taylor]: Taking taylor expansion of PI in n
16.992 * [backup-simplify]: Simplify PI into PI
16.992 * [taylor]: Taking taylor expansion of n in n
16.992 * [backup-simplify]: Simplify 0 into 0
16.992 * [backup-simplify]: Simplify 1 into 1
16.992 * [backup-simplify]: Simplify (/ PI 1) into PI
16.993 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.993 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.993 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.993 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.994 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.994 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
16.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.995 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
16.996 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
16.996 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
16.996 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
16.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
16.996 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
16.996 * [taylor]: Taking taylor expansion of 1/2 in n
16.996 * [backup-simplify]: Simplify 1/2 into 1/2
16.996 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.996 * [taylor]: Taking taylor expansion of 1/2 in n
16.996 * [backup-simplify]: Simplify 1/2 into 1/2
16.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.996 * [taylor]: Taking taylor expansion of 1/2 in n
16.996 * [backup-simplify]: Simplify 1/2 into 1/2
16.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.996 * [taylor]: Taking taylor expansion of k in n
16.996 * [backup-simplify]: Simplify k into k
16.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.996 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.996 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.996 * [taylor]: Taking taylor expansion of 2 in n
16.996 * [backup-simplify]: Simplify 2 into 2
16.996 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.996 * [taylor]: Taking taylor expansion of PI in n
16.996 * [backup-simplify]: Simplify PI into PI
16.996 * [taylor]: Taking taylor expansion of n in n
16.996 * [backup-simplify]: Simplify 0 into 0
16.996 * [backup-simplify]: Simplify 1 into 1
16.997 * [backup-simplify]: Simplify (/ PI 1) into PI
16.997 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.998 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.998 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.998 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.998 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
16.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.999 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.000 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.000 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
17.000 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
17.000 * [taylor]: Taking taylor expansion of 1/2 in k
17.000 * [backup-simplify]: Simplify 1/2 into 1/2
17.000 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
17.000 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.000 * [taylor]: Taking taylor expansion of 1/2 in k
17.000 * [backup-simplify]: Simplify 1/2 into 1/2
17.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.000 * [taylor]: Taking taylor expansion of 1/2 in k
17.000 * [backup-simplify]: Simplify 1/2 into 1/2
17.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.000 * [taylor]: Taking taylor expansion of k in k
17.000 * [backup-simplify]: Simplify 0 into 0
17.000 * [backup-simplify]: Simplify 1 into 1
17.001 * [backup-simplify]: Simplify (/ 1 1) into 1
17.001 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.001 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.001 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.001 * [taylor]: Taking taylor expansion of 2 in k
17.001 * [backup-simplify]: Simplify 2 into 2
17.001 * [taylor]: Taking taylor expansion of PI in k
17.001 * [backup-simplify]: Simplify PI into PI
17.001 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.002 * [taylor]: Taking taylor expansion of (log n) in k
17.002 * [taylor]: Taking taylor expansion of n in k
17.002 * [backup-simplify]: Simplify n into n
17.002 * [backup-simplify]: Simplify (log n) into (log n)
17.003 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.003 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.004 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.004 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.005 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.006 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
17.007 * [backup-simplify]: Simplify (* 1/2 (* -1/2 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
17.008 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.009 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.014 * [backup-simplify]: Simplify (- 0) into 0
17.014 * [backup-simplify]: Simplify (+ 0 0) into 0
17.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0
17.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.017 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.019 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.019 * [taylor]: Taking taylor expansion of 0 in k
17.019 * [backup-simplify]: Simplify 0 into 0
17.019 * [backup-simplify]: Simplify 0 into 0
17.019 * [backup-simplify]: Simplify 0 into 0
17.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.025 * [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
17.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.027 * [backup-simplify]: Simplify (- 0) into 0
17.027 * [backup-simplify]: Simplify (+ 0 0) into 0
17.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0
17.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.031 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.034 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.034 * [taylor]: Taking taylor expansion of 0 in k
17.034 * [backup-simplify]: Simplify 0 into 0
17.034 * [backup-simplify]: Simplify 0 into 0
17.034 * [backup-simplify]: Simplify 0 into 0
17.034 * [backup-simplify]: Simplify 0 into 0
17.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.042 * [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
17.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.044 * [backup-simplify]: Simplify (- 0) into 0
17.044 * [backup-simplify]: Simplify (+ 0 0) into 0
17.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))))) into 0
17.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.048 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.051 * [taylor]: Taking taylor expansion of 0 in k
17.051 * [backup-simplify]: Simplify 0 into 0
17.051 * [backup-simplify]: Simplify 0 into 0
17.053 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
17.053 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1/2 (/ (/ 1 (- k)) 2)) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)))
17.053 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
17.053 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.053 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in k
17.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in k
17.053 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.053 * [taylor]: Taking taylor expansion of 1/2 in k
17.054 * [backup-simplify]: Simplify 1/2 into 1/2
17.054 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.054 * [taylor]: Taking taylor expansion of 1/2 in k
17.054 * [backup-simplify]: Simplify 1/2 into 1/2
17.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.054 * [taylor]: Taking taylor expansion of k in k
17.054 * [backup-simplify]: Simplify 0 into 0
17.054 * [backup-simplify]: Simplify 1 into 1
17.054 * [backup-simplify]: Simplify (/ 1 1) into 1
17.054 * [taylor]: Taking taylor expansion of 1/2 in k
17.054 * [backup-simplify]: Simplify 1/2 into 1/2
17.054 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.054 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.054 * [taylor]: Taking taylor expansion of -2 in k
17.054 * [backup-simplify]: Simplify -2 into -2
17.054 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.054 * [taylor]: Taking taylor expansion of PI in k
17.054 * [backup-simplify]: Simplify PI into PI
17.054 * [taylor]: Taking taylor expansion of n in k
17.054 * [backup-simplify]: Simplify n into n
17.054 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.055 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.055 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.055 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.055 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.056 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
17.056 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
17.056 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
17.056 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.056 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
17.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
17.056 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.056 * [taylor]: Taking taylor expansion of 1/2 in n
17.056 * [backup-simplify]: Simplify 1/2 into 1/2
17.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.056 * [taylor]: Taking taylor expansion of 1/2 in n
17.057 * [backup-simplify]: Simplify 1/2 into 1/2
17.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.057 * [taylor]: Taking taylor expansion of k in n
17.057 * [backup-simplify]: Simplify k into k
17.057 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.057 * [taylor]: Taking taylor expansion of 1/2 in n
17.057 * [backup-simplify]: Simplify 1/2 into 1/2
17.057 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.057 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.057 * [taylor]: Taking taylor expansion of -2 in n
17.057 * [backup-simplify]: Simplify -2 into -2
17.057 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.057 * [taylor]: Taking taylor expansion of PI in n
17.057 * [backup-simplify]: Simplify PI into PI
17.057 * [taylor]: Taking taylor expansion of n in n
17.057 * [backup-simplify]: Simplify 0 into 0
17.057 * [backup-simplify]: Simplify 1 into 1
17.057 * [backup-simplify]: Simplify (/ PI 1) into PI
17.058 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.059 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.059 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.059 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
17.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.062 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.063 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.063 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.063 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
17.063 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
17.063 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.063 * [taylor]: Taking taylor expansion of 1/2 in n
17.063 * [backup-simplify]: Simplify 1/2 into 1/2
17.063 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.063 * [taylor]: Taking taylor expansion of 1/2 in n
17.063 * [backup-simplify]: Simplify 1/2 into 1/2
17.063 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.063 * [taylor]: Taking taylor expansion of k in n
17.063 * [backup-simplify]: Simplify k into k
17.063 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.063 * [taylor]: Taking taylor expansion of 1/2 in n
17.063 * [backup-simplify]: Simplify 1/2 into 1/2
17.063 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.063 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.063 * [taylor]: Taking taylor expansion of -2 in n
17.063 * [backup-simplify]: Simplify -2 into -2
17.063 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.063 * [taylor]: Taking taylor expansion of PI in n
17.064 * [backup-simplify]: Simplify PI into PI
17.064 * [taylor]: Taking taylor expansion of n in n
17.064 * [backup-simplify]: Simplify 0 into 0
17.064 * [backup-simplify]: Simplify 1 into 1
17.064 * [backup-simplify]: Simplify (/ PI 1) into PI
17.065 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.066 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.066 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.066 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.066 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
17.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.068 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.070 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.070 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
17.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
17.070 * [taylor]: Taking taylor expansion of 1/2 in k
17.070 * [backup-simplify]: Simplify 1/2 into 1/2
17.070 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
17.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.070 * [taylor]: Taking taylor expansion of 1/2 in k
17.070 * [backup-simplify]: Simplify 1/2 into 1/2
17.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.070 * [taylor]: Taking taylor expansion of k in k
17.070 * [backup-simplify]: Simplify 0 into 0
17.070 * [backup-simplify]: Simplify 1 into 1
17.070 * [backup-simplify]: Simplify (/ 1 1) into 1
17.070 * [taylor]: Taking taylor expansion of 1/2 in k
17.070 * [backup-simplify]: Simplify 1/2 into 1/2
17.070 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.070 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.071 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.071 * [taylor]: Taking taylor expansion of -2 in k
17.071 * [backup-simplify]: Simplify -2 into -2
17.071 * [taylor]: Taking taylor expansion of PI in k
17.071 * [backup-simplify]: Simplify PI into PI
17.071 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.072 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.072 * [taylor]: Taking taylor expansion of (log n) in k
17.072 * [taylor]: Taking taylor expansion of n in k
17.072 * [backup-simplify]: Simplify n into n
17.072 * [backup-simplify]: Simplify (log n) into (log n)
17.073 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.073 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.073 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.074 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.075 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
17.076 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (- (log (* -2 PI)) (log n)))) into (* 1/4 (- (log (* -2 PI)) (log n)))
17.077 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.078 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.080 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.089 * [backup-simplify]: Simplify (+ 0 0) into 0
17.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
17.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.093 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.095 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.095 * [taylor]: Taking taylor expansion of 0 in k
17.095 * [backup-simplify]: Simplify 0 into 0
17.095 * [backup-simplify]: Simplify 0 into 0
17.095 * [backup-simplify]: Simplify 0 into 0
17.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.097 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.101 * [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
17.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.102 * [backup-simplify]: Simplify (+ 0 0) into 0
17.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
17.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.106 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.109 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.109 * [taylor]: Taking taylor expansion of 0 in k
17.109 * [backup-simplify]: Simplify 0 into 0
17.109 * [backup-simplify]: Simplify 0 into 0
17.109 * [backup-simplify]: Simplify 0 into 0
17.109 * [backup-simplify]: Simplify 0 into 0
17.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.111 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.117 * [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
17.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.120 * [backup-simplify]: Simplify (+ 0 0) into 0
17.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
17.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.124 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.127 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.127 * [taylor]: Taking taylor expansion of 0 in k
17.127 * [backup-simplify]: Simplify 0 into 0
17.127 * [backup-simplify]: Simplify 0 into 0
17.129 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
17.129 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
17.129 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k))))
17.129 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in (n k) around 0
17.129 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in k
17.129 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in k
17.129 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in k
17.130 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in k
17.130 * [taylor]: Taking taylor expansion of 1/2 in k
17.130 * [backup-simplify]: Simplify 1/2 into 1/2
17.130 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.130 * [taylor]: Taking taylor expansion of 1/2 in k
17.130 * [backup-simplify]: Simplify 1/2 into 1/2
17.130 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.130 * [taylor]: Taking taylor expansion of 1/2 in k
17.130 * [backup-simplify]: Simplify 1/2 into 1/2
17.130 * [taylor]: Taking taylor expansion of k in k
17.130 * [backup-simplify]: Simplify 0 into 0
17.130 * [backup-simplify]: Simplify 1 into 1
17.130 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.130 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.130 * [taylor]: Taking taylor expansion of 2 in k
17.130 * [backup-simplify]: Simplify 2 into 2
17.130 * [taylor]: Taking taylor expansion of (* n PI) in k
17.130 * [taylor]: Taking taylor expansion of n in k
17.130 * [backup-simplify]: Simplify n into n
17.130 * [taylor]: Taking taylor expansion of PI in k
17.130 * [backup-simplify]: Simplify PI into PI
17.130 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.130 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.131 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.131 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.132 * [backup-simplify]: Simplify (- 0) into 0
17.132 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.133 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
17.133 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
17.133 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
17.133 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
17.133 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
17.133 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
17.133 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
17.133 * [taylor]: Taking taylor expansion of 1/2 in n
17.133 * [backup-simplify]: Simplify 1/2 into 1/2
17.133 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.133 * [taylor]: Taking taylor expansion of 1/2 in n
17.133 * [backup-simplify]: Simplify 1/2 into 1/2
17.133 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.133 * [taylor]: Taking taylor expansion of 1/2 in n
17.133 * [backup-simplify]: Simplify 1/2 into 1/2
17.133 * [taylor]: Taking taylor expansion of k in n
17.133 * [backup-simplify]: Simplify k into k
17.133 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.134 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.134 * [taylor]: Taking taylor expansion of 2 in n
17.134 * [backup-simplify]: Simplify 2 into 2
17.134 * [taylor]: Taking taylor expansion of (* n PI) in n
17.134 * [taylor]: Taking taylor expansion of n in n
17.134 * [backup-simplify]: Simplify 0 into 0
17.134 * [backup-simplify]: Simplify 1 into 1
17.134 * [taylor]: Taking taylor expansion of PI in n
17.134 * [backup-simplify]: Simplify PI into PI
17.134 * [backup-simplify]: Simplify (* 0 PI) into 0
17.135 * [backup-simplify]: Simplify (* 2 0) into 0
17.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.138 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.139 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.139 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.139 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.139 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.139 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
17.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.142 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
17.143 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
17.143 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
17.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
17.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
17.143 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
17.143 * [taylor]: Taking taylor expansion of 1/2 in n
17.143 * [backup-simplify]: Simplify 1/2 into 1/2
17.143 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.143 * [taylor]: Taking taylor expansion of 1/2 in n
17.143 * [backup-simplify]: Simplify 1/2 into 1/2
17.143 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.143 * [taylor]: Taking taylor expansion of 1/2 in n
17.143 * [backup-simplify]: Simplify 1/2 into 1/2
17.143 * [taylor]: Taking taylor expansion of k in n
17.143 * [backup-simplify]: Simplify k into k
17.143 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.143 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.143 * [taylor]: Taking taylor expansion of 2 in n
17.143 * [backup-simplify]: Simplify 2 into 2
17.143 * [taylor]: Taking taylor expansion of (* n PI) in n
17.143 * [taylor]: Taking taylor expansion of n in n
17.143 * [backup-simplify]: Simplify 0 into 0
17.143 * [backup-simplify]: Simplify 1 into 1
17.144 * [taylor]: Taking taylor expansion of PI in n
17.144 * [backup-simplify]: Simplify PI into PI
17.144 * [backup-simplify]: Simplify (* 0 PI) into 0
17.144 * [backup-simplify]: Simplify (* 2 0) into 0
17.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.148 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.149 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.149 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.149 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.149 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.149 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
17.151 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.152 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
17.153 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
17.153 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
17.153 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
17.153 * [taylor]: Taking taylor expansion of 1/2 in k
17.153 * [backup-simplify]: Simplify 1/2 into 1/2
17.153 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
17.153 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.153 * [taylor]: Taking taylor expansion of 1/2 in k
17.153 * [backup-simplify]: Simplify 1/2 into 1/2
17.153 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.153 * [taylor]: Taking taylor expansion of 1/2 in k
17.153 * [backup-simplify]: Simplify 1/2 into 1/2
17.153 * [taylor]: Taking taylor expansion of k in k
17.153 * [backup-simplify]: Simplify 0 into 0
17.153 * [backup-simplify]: Simplify 1 into 1
17.153 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
17.154 * [taylor]: Taking taylor expansion of (log n) in k
17.154 * [taylor]: Taking taylor expansion of n in k
17.154 * [backup-simplify]: Simplify n into n
17.154 * [backup-simplify]: Simplify (log n) into (log n)
17.154 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.154 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.154 * [taylor]: Taking taylor expansion of 2 in k
17.154 * [backup-simplify]: Simplify 2 into 2
17.154 * [taylor]: Taking taylor expansion of PI in k
17.154 * [backup-simplify]: Simplify PI into PI
17.154 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.155 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.156 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.156 * [backup-simplify]: Simplify (- 0) into 0
17.157 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.158 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.159 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
17.160 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (+ (log n) (log (* 2 PI))))) into (* 1/4 (+ (log n) (log (* 2 PI))))
17.161 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
17.162 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
17.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
17.167 * [backup-simplify]: Simplify (- 0) into 0
17.167 * [backup-simplify]: Simplify (+ 0 0) into 0
17.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 k)))) into 0
17.169 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
17.172 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.173 * [taylor]: Taking taylor expansion of 0 in k
17.173 * [backup-simplify]: Simplify 0 into 0
17.173 * [backup-simplify]: Simplify 0 into 0
17.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.174 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.176 * [backup-simplify]: Simplify (+ 0 0) into 0
17.177 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.177 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.177 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
17.180 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI)))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
17.182 * [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)))))))
17.183 * [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)))))))
17.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.187 * [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
17.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
17.188 * [backup-simplify]: Simplify (- 0) into 0
17.188 * [backup-simplify]: Simplify (+ 0 0) into 0
17.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 k))))) into 0
17.189 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.190 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.192 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.192 * [taylor]: Taking taylor expansion of 0 in k
17.192 * [backup-simplify]: Simplify 0 into 0
17.192 * [backup-simplify]: Simplify 0 into 0
17.192 * [backup-simplify]: Simplify 0 into 0
17.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.195 * [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
17.195 * [backup-simplify]: Simplify (+ 0 0) into 0
17.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.196 * [backup-simplify]: Simplify (- 0) into 0
17.196 * [backup-simplify]: Simplify (+ 0 0) into 0
17.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI))))))) into 0
17.201 * [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)))))
17.204 * [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)))))
17.219 * [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)))))))
17.219 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1/2 (/ (/ 1 k) 2)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))))
17.220 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
17.220 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in k
17.220 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in k
17.220 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in k
17.220 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in k
17.220 * [taylor]: Taking taylor expansion of 1/2 in k
17.220 * [backup-simplify]: Simplify 1/2 into 1/2
17.220 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.220 * [taylor]: Taking taylor expansion of 1/2 in k
17.220 * [backup-simplify]: Simplify 1/2 into 1/2
17.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.220 * [taylor]: Taking taylor expansion of 1/2 in k
17.220 * [backup-simplify]: Simplify 1/2 into 1/2
17.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.220 * [taylor]: Taking taylor expansion of k in k
17.220 * [backup-simplify]: Simplify 0 into 0
17.220 * [backup-simplify]: Simplify 1 into 1
17.220 * [backup-simplify]: Simplify (/ 1 1) into 1
17.220 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.220 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.220 * [taylor]: Taking taylor expansion of 2 in k
17.221 * [backup-simplify]: Simplify 2 into 2
17.221 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.221 * [taylor]: Taking taylor expansion of PI in k
17.221 * [backup-simplify]: Simplify PI into PI
17.221 * [taylor]: Taking taylor expansion of n in k
17.221 * [backup-simplify]: Simplify n into n
17.221 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.221 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.221 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.221 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.222 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.222 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.223 * [backup-simplify]: Simplify (* 1/2 -1/2) into -1/4
17.223 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
17.223 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))))
17.223 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
17.223 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
17.223 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
17.223 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
17.223 * [taylor]: Taking taylor expansion of 1/2 in n
17.223 * [backup-simplify]: Simplify 1/2 into 1/2
17.223 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.223 * [taylor]: Taking taylor expansion of 1/2 in n
17.223 * [backup-simplify]: Simplify 1/2 into 1/2
17.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.223 * [taylor]: Taking taylor expansion of 1/2 in n
17.223 * [backup-simplify]: Simplify 1/2 into 1/2
17.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.223 * [taylor]: Taking taylor expansion of k in n
17.223 * [backup-simplify]: Simplify k into k
17.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.223 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.223 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.223 * [taylor]: Taking taylor expansion of 2 in n
17.223 * [backup-simplify]: Simplify 2 into 2
17.224 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.224 * [taylor]: Taking taylor expansion of PI in n
17.224 * [backup-simplify]: Simplify PI into PI
17.224 * [taylor]: Taking taylor expansion of n in n
17.224 * [backup-simplify]: Simplify 0 into 0
17.224 * [backup-simplify]: Simplify 1 into 1
17.224 * [backup-simplify]: Simplify (/ PI 1) into PI
17.225 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.225 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.226 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.226 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.226 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
17.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.228 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.230 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.230 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
17.230 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
17.230 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
17.230 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
17.230 * [taylor]: Taking taylor expansion of 1/2 in n
17.230 * [backup-simplify]: Simplify 1/2 into 1/2
17.230 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.230 * [taylor]: Taking taylor expansion of 1/2 in n
17.230 * [backup-simplify]: Simplify 1/2 into 1/2
17.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.230 * [taylor]: Taking taylor expansion of 1/2 in n
17.230 * [backup-simplify]: Simplify 1/2 into 1/2
17.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.230 * [taylor]: Taking taylor expansion of k in n
17.230 * [backup-simplify]: Simplify k into k
17.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.230 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.230 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.230 * [taylor]: Taking taylor expansion of 2 in n
17.230 * [backup-simplify]: Simplify 2 into 2
17.230 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.230 * [taylor]: Taking taylor expansion of PI in n
17.230 * [backup-simplify]: Simplify PI into PI
17.230 * [taylor]: Taking taylor expansion of n in n
17.230 * [backup-simplify]: Simplify 0 into 0
17.230 * [backup-simplify]: Simplify 1 into 1
17.231 * [backup-simplify]: Simplify (/ PI 1) into PI
17.231 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.232 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.232 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.232 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.233 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.233 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
17.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.235 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.236 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.236 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
17.236 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
17.236 * [taylor]: Taking taylor expansion of 1/2 in k
17.237 * [backup-simplify]: Simplify 1/2 into 1/2
17.237 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
17.237 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.237 * [taylor]: Taking taylor expansion of 1/2 in k
17.237 * [backup-simplify]: Simplify 1/2 into 1/2
17.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.237 * [taylor]: Taking taylor expansion of 1/2 in k
17.237 * [backup-simplify]: Simplify 1/2 into 1/2
17.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.237 * [taylor]: Taking taylor expansion of k in k
17.237 * [backup-simplify]: Simplify 0 into 0
17.237 * [backup-simplify]: Simplify 1 into 1
17.237 * [backup-simplify]: Simplify (/ 1 1) into 1
17.237 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.237 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.237 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.237 * [taylor]: Taking taylor expansion of 2 in k
17.237 * [backup-simplify]: Simplify 2 into 2
17.237 * [taylor]: Taking taylor expansion of PI in k
17.237 * [backup-simplify]: Simplify PI into PI
17.238 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.239 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.239 * [taylor]: Taking taylor expansion of (log n) in k
17.239 * [taylor]: Taking taylor expansion of n in k
17.239 * [backup-simplify]: Simplify n into n
17.239 * [backup-simplify]: Simplify (log n) into (log n)
17.240 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.240 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.241 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.241 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.242 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.243 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
17.244 * [backup-simplify]: Simplify (* 1/2 (* -1/2 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
17.245 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.246 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.251 * [backup-simplify]: Simplify (- 0) into 0
17.251 * [backup-simplify]: Simplify (+ 0 0) into 0
17.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0
17.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.254 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.256 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.256 * [taylor]: Taking taylor expansion of 0 in k
17.256 * [backup-simplify]: Simplify 0 into 0
17.256 * [backup-simplify]: Simplify 0 into 0
17.257 * [backup-simplify]: Simplify 0 into 0
17.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.262 * [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
17.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.264 * [backup-simplify]: Simplify (- 0) into 0
17.264 * [backup-simplify]: Simplify (+ 0 0) into 0
17.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0
17.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.268 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.271 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.271 * [taylor]: Taking taylor expansion of 0 in k
17.271 * [backup-simplify]: Simplify 0 into 0
17.271 * [backup-simplify]: Simplify 0 into 0
17.271 * [backup-simplify]: Simplify 0 into 0
17.271 * [backup-simplify]: Simplify 0 into 0
17.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.276 * [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
17.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.277 * [backup-simplify]: Simplify (- 0) into 0
17.277 * [backup-simplify]: Simplify (+ 0 0) into 0
17.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))))) into 0
17.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.280 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.281 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.281 * [taylor]: Taking taylor expansion of 0 in k
17.281 * [backup-simplify]: Simplify 0 into 0
17.281 * [backup-simplify]: Simplify 0 into 0
17.282 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
17.282 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1/2 (/ (/ 1 (- k)) 2)) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)))
17.282 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
17.282 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.282 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in k
17.283 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in k
17.283 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.283 * [taylor]: Taking taylor expansion of 1/2 in k
17.283 * [backup-simplify]: Simplify 1/2 into 1/2
17.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.283 * [taylor]: Taking taylor expansion of 1/2 in k
17.283 * [backup-simplify]: Simplify 1/2 into 1/2
17.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.283 * [taylor]: Taking taylor expansion of k in k
17.283 * [backup-simplify]: Simplify 0 into 0
17.283 * [backup-simplify]: Simplify 1 into 1
17.283 * [backup-simplify]: Simplify (/ 1 1) into 1
17.283 * [taylor]: Taking taylor expansion of 1/2 in k
17.283 * [backup-simplify]: Simplify 1/2 into 1/2
17.283 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.283 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.283 * [taylor]: Taking taylor expansion of -2 in k
17.283 * [backup-simplify]: Simplify -2 into -2
17.283 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.283 * [taylor]: Taking taylor expansion of PI in k
17.283 * [backup-simplify]: Simplify PI into PI
17.283 * [taylor]: Taking taylor expansion of n in k
17.283 * [backup-simplify]: Simplify n into n
17.283 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.283 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.283 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.284 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.284 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
17.284 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
17.284 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
17.284 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.284 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
17.284 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
17.284 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.284 * [taylor]: Taking taylor expansion of 1/2 in n
17.284 * [backup-simplify]: Simplify 1/2 into 1/2
17.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.284 * [taylor]: Taking taylor expansion of 1/2 in n
17.284 * [backup-simplify]: Simplify 1/2 into 1/2
17.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.284 * [taylor]: Taking taylor expansion of k in n
17.284 * [backup-simplify]: Simplify k into k
17.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.284 * [taylor]: Taking taylor expansion of 1/2 in n
17.284 * [backup-simplify]: Simplify 1/2 into 1/2
17.284 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.284 * [taylor]: Taking taylor expansion of -2 in n
17.285 * [backup-simplify]: Simplify -2 into -2
17.285 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.285 * [taylor]: Taking taylor expansion of PI in n
17.285 * [backup-simplify]: Simplify PI into PI
17.285 * [taylor]: Taking taylor expansion of n in n
17.285 * [backup-simplify]: Simplify 0 into 0
17.285 * [backup-simplify]: Simplify 1 into 1
17.285 * [backup-simplify]: Simplify (/ PI 1) into PI
17.285 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.286 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.286 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.286 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
17.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.287 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.288 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.288 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.288 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
17.288 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
17.288 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.288 * [taylor]: Taking taylor expansion of 1/2 in n
17.288 * [backup-simplify]: Simplify 1/2 into 1/2
17.288 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.288 * [taylor]: Taking taylor expansion of 1/2 in n
17.288 * [backup-simplify]: Simplify 1/2 into 1/2
17.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.288 * [taylor]: Taking taylor expansion of k in n
17.288 * [backup-simplify]: Simplify k into k
17.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.288 * [taylor]: Taking taylor expansion of 1/2 in n
17.288 * [backup-simplify]: Simplify 1/2 into 1/2
17.288 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.288 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.288 * [taylor]: Taking taylor expansion of -2 in n
17.288 * [backup-simplify]: Simplify -2 into -2
17.288 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.288 * [taylor]: Taking taylor expansion of PI in n
17.289 * [backup-simplify]: Simplify PI into PI
17.289 * [taylor]: Taking taylor expansion of n in n
17.289 * [backup-simplify]: Simplify 0 into 0
17.289 * [backup-simplify]: Simplify 1 into 1
17.289 * [backup-simplify]: Simplify (/ PI 1) into PI
17.289 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.290 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.290 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.290 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.290 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
17.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.291 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.292 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.292 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
17.292 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
17.292 * [taylor]: Taking taylor expansion of 1/2 in k
17.292 * [backup-simplify]: Simplify 1/2 into 1/2
17.292 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
17.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.292 * [taylor]: Taking taylor expansion of 1/2 in k
17.292 * [backup-simplify]: Simplify 1/2 into 1/2
17.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.292 * [taylor]: Taking taylor expansion of k in k
17.292 * [backup-simplify]: Simplify 0 into 0
17.292 * [backup-simplify]: Simplify 1 into 1
17.293 * [backup-simplify]: Simplify (/ 1 1) into 1
17.293 * [taylor]: Taking taylor expansion of 1/2 in k
17.293 * [backup-simplify]: Simplify 1/2 into 1/2
17.293 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.293 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.293 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.293 * [taylor]: Taking taylor expansion of -2 in k
17.293 * [backup-simplify]: Simplify -2 into -2
17.293 * [taylor]: Taking taylor expansion of PI in k
17.293 * [backup-simplify]: Simplify PI into PI
17.293 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.294 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.294 * [taylor]: Taking taylor expansion of (log n) in k
17.294 * [taylor]: Taking taylor expansion of n in k
17.294 * [backup-simplify]: Simplify n into n
17.294 * [backup-simplify]: Simplify (log n) into (log n)
17.294 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.294 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.294 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.295 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.295 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
17.296 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (- (log (* -2 PI)) (log n)))) into (* 1/4 (- (log (* -2 PI)) (log n)))
17.297 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.297 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
17.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.298 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.300 * [backup-simplify]: Simplify (+ 0 0) into 0
17.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
17.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.303 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.305 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.305 * [taylor]: Taking taylor expansion of 0 in k
17.305 * [backup-simplify]: Simplify 0 into 0
17.305 * [backup-simplify]: Simplify 0 into 0
17.305 * [backup-simplify]: Simplify 0 into 0
17.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.307 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.310 * [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
17.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.312 * [backup-simplify]: Simplify (+ 0 0) into 0
17.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
17.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.316 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.318 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.318 * [taylor]: Taking taylor expansion of 0 in k
17.318 * [backup-simplify]: Simplify 0 into 0
17.319 * [backup-simplify]: Simplify 0 into 0
17.319 * [backup-simplify]: Simplify 0 into 0
17.319 * [backup-simplify]: Simplify 0 into 0
17.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.321 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.327 * [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
17.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.329 * [backup-simplify]: Simplify (+ 0 0) into 0
17.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
17.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.333 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.336 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.336 * [taylor]: Taking taylor expansion of 0 in k
17.336 * [backup-simplify]: Simplify 0 into 0
17.337 * [backup-simplify]: Simplify 0 into 0
17.343 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
17.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
17.344 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
17.344 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
17.344 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.344 * [taylor]: Taking taylor expansion of 2 in n
17.344 * [backup-simplify]: Simplify 2 into 2
17.344 * [taylor]: Taking taylor expansion of (* n PI) in n
17.344 * [taylor]: Taking taylor expansion of n in n
17.344 * [backup-simplify]: Simplify 0 into 0
17.344 * [backup-simplify]: Simplify 1 into 1
17.344 * [taylor]: Taking taylor expansion of PI in n
17.344 * [backup-simplify]: Simplify PI into PI
17.344 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.344 * [taylor]: Taking taylor expansion of 2 in n
17.344 * [backup-simplify]: Simplify 2 into 2
17.344 * [taylor]: Taking taylor expansion of (* n PI) in n
17.344 * [taylor]: Taking taylor expansion of n in n
17.344 * [backup-simplify]: Simplify 0 into 0
17.344 * [backup-simplify]: Simplify 1 into 1
17.344 * [taylor]: Taking taylor expansion of PI in n
17.344 * [backup-simplify]: Simplify PI into PI
17.345 * [backup-simplify]: Simplify (* 0 PI) into 0
17.345 * [backup-simplify]: Simplify (* 2 0) into 0
17.345 * [backup-simplify]: Simplify 0 into 0
17.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.348 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.349 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.351 * [backup-simplify]: Simplify 0 into 0
17.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.353 * [backup-simplify]: Simplify 0 into 0
17.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.356 * [backup-simplify]: Simplify 0 into 0
17.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.359 * [backup-simplify]: Simplify 0 into 0
17.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.361 * [backup-simplify]: Simplify 0 into 0
17.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.364 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.364 * [backup-simplify]: Simplify 0 into 0
17.364 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.364 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
17.365 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
17.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.365 * [taylor]: Taking taylor expansion of 2 in n
17.365 * [backup-simplify]: Simplify 2 into 2
17.365 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.365 * [taylor]: Taking taylor expansion of PI in n
17.365 * [backup-simplify]: Simplify PI into PI
17.365 * [taylor]: Taking taylor expansion of n in n
17.365 * [backup-simplify]: Simplify 0 into 0
17.365 * [backup-simplify]: Simplify 1 into 1
17.365 * [backup-simplify]: Simplify (/ PI 1) into PI
17.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.365 * [taylor]: Taking taylor expansion of 2 in n
17.365 * [backup-simplify]: Simplify 2 into 2
17.365 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.365 * [taylor]: Taking taylor expansion of PI in n
17.365 * [backup-simplify]: Simplify PI into PI
17.365 * [taylor]: Taking taylor expansion of n in n
17.365 * [backup-simplify]: Simplify 0 into 0
17.365 * [backup-simplify]: Simplify 1 into 1
17.365 * [backup-simplify]: Simplify (/ PI 1) into PI
17.366 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.366 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.367 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.367 * [backup-simplify]: Simplify 0 into 0
17.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.368 * [backup-simplify]: Simplify 0 into 0
17.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.369 * [backup-simplify]: Simplify 0 into 0
17.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.371 * [backup-simplify]: Simplify 0 into 0
17.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.372 * [backup-simplify]: Simplify 0 into 0
17.373 * [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
17.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.374 * [backup-simplify]: Simplify 0 into 0
17.374 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
17.375 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
17.375 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
17.375 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.375 * [taylor]: Taking taylor expansion of -2 in n
17.375 * [backup-simplify]: Simplify -2 into -2
17.375 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.375 * [taylor]: Taking taylor expansion of PI in n
17.375 * [backup-simplify]: Simplify PI into PI
17.375 * [taylor]: Taking taylor expansion of n in n
17.375 * [backup-simplify]: Simplify 0 into 0
17.375 * [backup-simplify]: Simplify 1 into 1
17.375 * [backup-simplify]: Simplify (/ PI 1) into PI
17.375 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.375 * [taylor]: Taking taylor expansion of -2 in n
17.375 * [backup-simplify]: Simplify -2 into -2
17.375 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.375 * [taylor]: Taking taylor expansion of PI in n
17.375 * [backup-simplify]: Simplify PI into PI
17.375 * [taylor]: Taking taylor expansion of n in n
17.375 * [backup-simplify]: Simplify 0 into 0
17.375 * [backup-simplify]: Simplify 1 into 1
17.375 * [backup-simplify]: Simplify (/ PI 1) into PI
17.376 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.376 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.377 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.377 * [backup-simplify]: Simplify 0 into 0
17.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.378 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.378 * [backup-simplify]: Simplify 0 into 0
17.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.379 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.379 * [backup-simplify]: Simplify 0 into 0
17.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.381 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.381 * [backup-simplify]: Simplify 0 into 0
17.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.382 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.382 * [backup-simplify]: Simplify 0 into 0
17.383 * [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
17.384 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.384 * [backup-simplify]: Simplify 0 into 0
17.384 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
17.384 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
17.384 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
17.384 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
17.384 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.384 * [taylor]: Taking taylor expansion of 2 in n
17.385 * [backup-simplify]: Simplify 2 into 2
17.385 * [taylor]: Taking taylor expansion of (* n PI) in n
17.385 * [taylor]: Taking taylor expansion of n in n
17.385 * [backup-simplify]: Simplify 0 into 0
17.385 * [backup-simplify]: Simplify 1 into 1
17.385 * [taylor]: Taking taylor expansion of PI in n
17.385 * [backup-simplify]: Simplify PI into PI
17.385 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.385 * [taylor]: Taking taylor expansion of 2 in n
17.385 * [backup-simplify]: Simplify 2 into 2
17.385 * [taylor]: Taking taylor expansion of (* n PI) in n
17.385 * [taylor]: Taking taylor expansion of n in n
17.385 * [backup-simplify]: Simplify 0 into 0
17.385 * [backup-simplify]: Simplify 1 into 1
17.385 * [taylor]: Taking taylor expansion of PI in n
17.385 * [backup-simplify]: Simplify PI into PI
17.385 * [backup-simplify]: Simplify (* 0 PI) into 0
17.385 * [backup-simplify]: Simplify (* 2 0) into 0
17.385 * [backup-simplify]: Simplify 0 into 0
17.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.387 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.387 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.388 * [backup-simplify]: Simplify 0 into 0
17.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.390 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.390 * [backup-simplify]: Simplify 0 into 0
17.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.391 * [backup-simplify]: Simplify 0 into 0
17.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.393 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.393 * [backup-simplify]: Simplify 0 into 0
17.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.396 * [backup-simplify]: Simplify 0 into 0
17.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.400 * [backup-simplify]: Simplify 0 into 0
17.400 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.401 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
17.401 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
17.401 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.401 * [taylor]: Taking taylor expansion of 2 in n
17.401 * [backup-simplify]: Simplify 2 into 2
17.401 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.401 * [taylor]: Taking taylor expansion of PI in n
17.401 * [backup-simplify]: Simplify PI into PI
17.401 * [taylor]: Taking taylor expansion of n in n
17.401 * [backup-simplify]: Simplify 0 into 0
17.401 * [backup-simplify]: Simplify 1 into 1
17.402 * [backup-simplify]: Simplify (/ PI 1) into PI
17.402 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.402 * [taylor]: Taking taylor expansion of 2 in n
17.402 * [backup-simplify]: Simplify 2 into 2
17.402 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.402 * [taylor]: Taking taylor expansion of PI in n
17.402 * [backup-simplify]: Simplify PI into PI
17.402 * [taylor]: Taking taylor expansion of n in n
17.402 * [backup-simplify]: Simplify 0 into 0
17.402 * [backup-simplify]: Simplify 1 into 1
17.402 * [backup-simplify]: Simplify (/ PI 1) into PI
17.403 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.403 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.405 * [backup-simplify]: Simplify 0 into 0
17.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.406 * [backup-simplify]: Simplify 0 into 0
17.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.407 * [backup-simplify]: Simplify 0 into 0
17.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.409 * [backup-simplify]: Simplify 0 into 0
17.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.410 * [backup-simplify]: Simplify 0 into 0
17.411 * [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
17.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.412 * [backup-simplify]: Simplify 0 into 0
17.412 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
17.412 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
17.412 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
17.412 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.413 * [taylor]: Taking taylor expansion of -2 in n
17.413 * [backup-simplify]: Simplify -2 into -2
17.413 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.413 * [taylor]: Taking taylor expansion of PI in n
17.413 * [backup-simplify]: Simplify PI into PI
17.413 * [taylor]: Taking taylor expansion of n in n
17.413 * [backup-simplify]: Simplify 0 into 0
17.413 * [backup-simplify]: Simplify 1 into 1
17.413 * [backup-simplify]: Simplify (/ PI 1) into PI
17.413 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.413 * [taylor]: Taking taylor expansion of -2 in n
17.413 * [backup-simplify]: Simplify -2 into -2
17.413 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.413 * [taylor]: Taking taylor expansion of PI in n
17.413 * [backup-simplify]: Simplify PI into PI
17.413 * [taylor]: Taking taylor expansion of n in n
17.413 * [backup-simplify]: Simplify 0 into 0
17.413 * [backup-simplify]: Simplify 1 into 1
17.413 * [backup-simplify]: Simplify (/ PI 1) into PI
17.414 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.414 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.415 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.415 * [backup-simplify]: Simplify 0 into 0
17.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.416 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.416 * [backup-simplify]: Simplify 0 into 0
17.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.417 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.417 * [backup-simplify]: Simplify 0 into 0
17.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.419 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.419 * [backup-simplify]: Simplify 0 into 0
17.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.420 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.420 * [backup-simplify]: Simplify 0 into 0
17.421 * [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
17.422 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.422 * [backup-simplify]: Simplify 0 into 0
17.422 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
17.422 * * * [progress]: simplifying candidates
17.422 * * * * [progress]: [ 1 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.422 * * * * [progress]: [ 2 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.422 * * * * [progress]: [ 3 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.422 * * * * [progress]: [ 4 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.422 * * * * [progress]: [ 5 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.422 * * * * [progress]: [ 6 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 7 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 8 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* n (* 2 PI)) (/ 1/2 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 9 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 10 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 11 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 12 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2))) (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 13 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (/ (cbrt (- 1/2 (/ k 2))) 2))) (sqrt k)))>
17.423 * * * * [progress]: [ 14 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 15 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 16 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1)) (/ (sqrt (- 1/2 (/ k 2))) 2))) (sqrt k)))>
17.423 * * * * [progress]: [ 17 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 18 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 19 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.423 * * * * [progress]: [ 20 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 21 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 22 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1)) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2))) (sqrt k)))>
17.423 * * * * [progress]: [ 23 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 24 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 25 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1)) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 2))) (sqrt k)))>
17.423 * * * * [progress]: [ 26 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 27 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2)))) (sqrt k)))>
17.423 * * * * [progress]: [ 28 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 29 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 30 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 31 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.424 * * * * [progress]: [ 32 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (sqrt k)))>
17.424 * * * * [progress]: [ 33 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 34 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (log (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 35 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 36 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 37 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 38 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
17.424 * * * * [progress]: [ 39 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)))) (sqrt k)))>
17.424 * * * * [progress]: [ 40 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
17.424 * * * * [progress]: [ 41 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 42 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 43 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 44 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 45 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 46 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 47 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 48 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ 1/2 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 49 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (cbrt (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 50 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 51 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.424 * * * * [progress]: [ 52 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2))) (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 53 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (/ (cbrt (- 1/2 (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 54 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 55 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 56 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1)) (/ (sqrt (- 1/2 (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 57 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 58 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 59 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 60 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 61 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 62 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1)) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 63 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 64 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 65 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1)) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 66 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 67 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 68 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 69 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 70 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 71 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 72 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 73 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 74 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.425 * * * * [progress]: [ 75 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 76 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 77 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 78 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 79 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 80 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 81 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 82 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 83 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 84 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 85 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 86 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (log (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 87 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (log (exp (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 88 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 89 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 90 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 91 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 92 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 93 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 94 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 95 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 96 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 97 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 98 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 99 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* 2 PI) n) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.426 * * * * [progress]: [ 100 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 101 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 102 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 103 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 104 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 105 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 106 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 107 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 108 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 109 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 110 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 111 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 112 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 113 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 114 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 115 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 116 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 117 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 118 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* 2 PI) n) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 119 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 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)))))))) (sqrt k)))>
17.427 * * * * [progress]: [ 120 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))) (sqrt k)))>
17.427 * * * * [progress]: [ 121 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k)))>
17.427 * * * * [progress]: [ 122 / 130 ] 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))))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 123 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.427 * * * * [progress]: [ 124 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 125 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 126 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 127 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 128 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 129 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.428 * * * * [progress]: [ 130 / 130 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
17.429 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ 1/2 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 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 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 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)) (- 1/2 (/ k 2)))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ 1/2 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 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 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 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)) (- 1/2 (/ k 2)))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* 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)))
  (* 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 (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 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 (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 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))
17.430 * * [simplify]: iteration 1: (161 enodes)
17.511 * * [simplify]: iteration 2: (447 enodes)
17.960 * * [simplify]: iteration 3: (1359 enodes)
19.607 * * [simplify]: Extracting #0: cost 44 inf + 0
19.608 * * [simplify]: Extracting #1: cost 462 inf + 0
19.612 * * [simplify]: Extracting #2: cost 1036 inf + 5763
19.623 * * [simplify]: Extracting #3: cost 1161 inf + 40796
19.661 * * [simplify]: Extracting #4: cost 679 inf + 206352
19.722 * * [simplify]: Extracting #5: cost 281 inf + 368103
19.817 * * [simplify]: Extracting #6: cost 77 inf + 455075
19.970 * * [simplify]: Extracting #7: cost 7 inf + 486601
20.084 * * [simplify]: Extracting #8: cost 0 inf + 489222
20.194 * * [simplify]: Extracting #9: cost 0 inf + 489144
20.307 * [simplify]: Simplified to:
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* (log (* n (* PI 2))) 1/4))
  (pow (* n (* PI 2)) (/ k 4))
  (pow (* n (* PI 2)) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* n (* PI 2)) (sqrt (- 1/4 (/ k 4))))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* PI 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (exp (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4)))))
  (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (fabs (pow (* n (* PI 2)) (- 1/8 (/ k 8))))
  (fabs (pow (* n (* PI 2)) (- 1/8 (/ k 8))))
  (pow (* n (* PI 2)) (- 1/8 (/ k 8)))
  (pow (* n (* PI 2)) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* (log (* n (* PI 2))) 1/4))
  (pow (* n (* PI 2)) (/ k 4))
  (pow (* n (* PI 2)) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* n (* PI 2)) (sqrt (- 1/4 (/ k 4))))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* n (* PI 2)) (* (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* PI 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (/ (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* PI 2)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2)) (/ 1 (sqrt 2)))
  (* n (* PI 2))
  (* n (* PI 2))
  (pow (* n (* PI 2)) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* n (* PI 2))))
  (exp (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4)))))
  (cbrt (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* (* (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (pow (* n (* PI 2)) (- 1/4 (/ k 4)))) (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (fabs (pow (* n (* PI 2)) (- 1/8 (/ k 8))))
  (fabs (pow (* n (* PI 2)) (- 1/8 (/ k 8))))
  (pow (* n (* PI 2)) (- 1/8 (/ k 8)))
  (pow (* n (* PI 2)) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* n (* PI 2)) (- 1/4 (/ k 4))))
  (* n (* PI 2))
  (* n (* PI 2))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (exp (+ (* PI n) (* PI n)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2))))
  (cbrt (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (* n 2)
  (* (* PI 2) (cbrt n))
  (* (* (sqrt n) 2) PI)
  (* n (* PI 2))
  (real->posit16 (* n (* PI 2)))
  (* n (* PI 2))
  (* n (* PI 2))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (log (* n (* PI 2)))
  (exp (+ (* PI n) (* PI n)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2))))
  (cbrt (* n (* PI 2)))
  (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (sqrt (* n (* PI 2)))
  (* n 2)
  (* (* PI 2) (cbrt n))
  (* (* (sqrt n) 2) PI)
  (* n (* PI 2))
  (real->posit16 (* n (* PI 2)))
  (+ (exp (* (log (* n (* PI 2))) 1/4)) (+ (* (* (* k k) 1/32) (* (exp (* (log (* n (* PI 2))) 1/4)) (+ (* (log n) (log n)) (* (log (* PI 2)) (log (* PI 2)))))) (- (* (* (* (* (* (log (* PI 2)) 1/16) (log n)) (exp (* (log (* n (* PI 2))) 1/4))) k) k) (* (* 1/4 k) (* (exp (* (log (* n (* PI 2))) 1/4)) (+ (log n) (log (* PI 2))))))))
  (exp (* (- 1/2 (* k 1/2)) (log (sqrt (* n (* PI 2))))))
  (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2))) 1/2))
  (+ (exp (* (log (* n (* PI 2))) 1/4)) (+ (* (* (* k k) 1/32) (* (exp (* (log (* n (* PI 2))) 1/4)) (+ (* (log n) (log n)) (* (log (* PI 2)) (log (* PI 2)))))) (- (* (* (* (* (* (log (* PI 2)) 1/16) (log n)) (exp (* (log (* n (* PI 2))) 1/4))) k) k) (* (* 1/4 k) (* (exp (* (log (* n (* PI 2))) 1/4)) (+ (log n) (log (* PI 2))))))))
  (exp (* (- 1/2 (* k 1/2)) (log (sqrt (* n (* PI 2))))))
  (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2))) 1/2))
  (* n (* PI 2))
  (* n (* PI 2))
  (* n (* PI 2))
  (* n (* PI 2))
  (* n (* PI 2))
  (* n (* PI 2))
20.317 * * * [progress]: adding candidates to table
21.651 * * [progress]: iteration 4 / 4
21.651 * * * [progress]: picking best candidate
21.685 * * * * [pick]: Picked  #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
21.685 * * * [progress]: localizing error
21.736 * * * [progress]: generating rewritten candidates
21.736 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
21.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
21.767 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
21.812 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
21.834 * * * [progress]: generating series expansions
21.834 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
21.834 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
21.834 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
21.834 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
21.834 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
21.835 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
21.835 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.835 * [taylor]: Taking taylor expansion of 1/2 in k
21.835 * [backup-simplify]: Simplify 1/2 into 1/2
21.835 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.835 * [taylor]: Taking taylor expansion of 1/2 in k
21.835 * [backup-simplify]: Simplify 1/2 into 1/2
21.835 * [taylor]: Taking taylor expansion of k in k
21.835 * [backup-simplify]: Simplify 0 into 0
21.835 * [backup-simplify]: Simplify 1 into 1
21.835 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
21.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
21.835 * [taylor]: Taking taylor expansion of 2 in k
21.835 * [backup-simplify]: Simplify 2 into 2
21.835 * [taylor]: Taking taylor expansion of (* n PI) in k
21.835 * [taylor]: Taking taylor expansion of n in k
21.835 * [backup-simplify]: Simplify n into n
21.835 * [taylor]: Taking taylor expansion of PI in k
21.835 * [backup-simplify]: Simplify PI into PI
21.835 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.835 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
21.835 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
21.835 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.835 * [backup-simplify]: Simplify (- 0) into 0
21.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.836 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
21.836 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
21.836 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.836 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.836 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.836 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.836 * [taylor]: Taking taylor expansion of 1/2 in n
21.836 * [backup-simplify]: Simplify 1/2 into 1/2
21.836 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.836 * [taylor]: Taking taylor expansion of 1/2 in n
21.836 * [backup-simplify]: Simplify 1/2 into 1/2
21.836 * [taylor]: Taking taylor expansion of k in n
21.836 * [backup-simplify]: Simplify k into k
21.836 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.836 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.836 * [taylor]: Taking taylor expansion of 2 in n
21.836 * [backup-simplify]: Simplify 2 into 2
21.836 * [taylor]: Taking taylor expansion of (* n PI) in n
21.836 * [taylor]: Taking taylor expansion of n in n
21.836 * [backup-simplify]: Simplify 0 into 0
21.836 * [backup-simplify]: Simplify 1 into 1
21.836 * [taylor]: Taking taylor expansion of PI in n
21.836 * [backup-simplify]: Simplify PI into PI
21.836 * [backup-simplify]: Simplify (* 0 PI) into 0
21.837 * [backup-simplify]: Simplify (* 2 0) into 0
21.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.838 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.839 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.839 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.839 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.839 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.841 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.842 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.842 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.842 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.842 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.842 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.842 * [taylor]: Taking taylor expansion of 1/2 in n
21.842 * [backup-simplify]: Simplify 1/2 into 1/2
21.842 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.842 * [taylor]: Taking taylor expansion of 1/2 in n
21.842 * [backup-simplify]: Simplify 1/2 into 1/2
21.842 * [taylor]: Taking taylor expansion of k in n
21.842 * [backup-simplify]: Simplify k into k
21.842 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.842 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.842 * [taylor]: Taking taylor expansion of 2 in n
21.842 * [backup-simplify]: Simplify 2 into 2
21.842 * [taylor]: Taking taylor expansion of (* n PI) in n
21.842 * [taylor]: Taking taylor expansion of n in n
21.842 * [backup-simplify]: Simplify 0 into 0
21.842 * [backup-simplify]: Simplify 1 into 1
21.842 * [taylor]: Taking taylor expansion of PI in n
21.842 * [backup-simplify]: Simplify PI into PI
21.842 * [backup-simplify]: Simplify (* 0 PI) into 0
21.843 * [backup-simplify]: Simplify (* 2 0) into 0
21.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.845 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.845 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.845 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.845 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.847 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.848 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.848 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
21.848 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
21.848 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.848 * [taylor]: Taking taylor expansion of 1/2 in k
21.848 * [backup-simplify]: Simplify 1/2 into 1/2
21.848 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.848 * [taylor]: Taking taylor expansion of 1/2 in k
21.848 * [backup-simplify]: Simplify 1/2 into 1/2
21.848 * [taylor]: Taking taylor expansion of k in k
21.848 * [backup-simplify]: Simplify 0 into 0
21.848 * [backup-simplify]: Simplify 1 into 1
21.848 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
21.848 * [taylor]: Taking taylor expansion of (log n) in k
21.848 * [taylor]: Taking taylor expansion of n in k
21.848 * [backup-simplify]: Simplify n into n
21.848 * [backup-simplify]: Simplify (log n) into (log n)
21.848 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.848 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.848 * [taylor]: Taking taylor expansion of 2 in k
21.848 * [backup-simplify]: Simplify 2 into 2
21.848 * [taylor]: Taking taylor expansion of PI in k
21.848 * [backup-simplify]: Simplify PI into PI
21.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.849 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.849 * [backup-simplify]: Simplify (- 0) into 0
21.850 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.850 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.851 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
21.851 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.852 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
21.855 * [backup-simplify]: Simplify (- 0) into 0
21.855 * [backup-simplify]: Simplify (+ 0 0) into 0
21.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.856 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
21.858 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.858 * [taylor]: Taking taylor expansion of 0 in k
21.858 * [backup-simplify]: Simplify 0 into 0
21.858 * [backup-simplify]: Simplify 0 into 0
21.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.860 * [backup-simplify]: Simplify (+ 0 0) into 0
21.860 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.860 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.861 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
21.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.865 * [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)))))))
21.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.874 * [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
21.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
21.876 * [backup-simplify]: Simplify (- 0) into 0
21.876 * [backup-simplify]: Simplify (+ 0 0) into 0
21.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.879 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.882 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.882 * [taylor]: Taking taylor expansion of 0 in k
21.882 * [backup-simplify]: Simplify 0 into 0
21.882 * [backup-simplify]: Simplify 0 into 0
21.882 * [backup-simplify]: Simplify 0 into 0
21.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.888 * [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
21.889 * [backup-simplify]: Simplify (+ 0 0) into 0
21.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
21.890 * [backup-simplify]: Simplify (- 0) into 0
21.891 * [backup-simplify]: Simplify (+ 0 0) into 0
21.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.896 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.902 * [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)))))
21.911 * [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)))))
21.912 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.912 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
21.912 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
21.912 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
21.912 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
21.912 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.912 * [taylor]: Taking taylor expansion of 1/2 in k
21.912 * [backup-simplify]: Simplify 1/2 into 1/2
21.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.912 * [taylor]: Taking taylor expansion of 1/2 in k
21.912 * [backup-simplify]: Simplify 1/2 into 1/2
21.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.912 * [taylor]: Taking taylor expansion of k in k
21.912 * [backup-simplify]: Simplify 0 into 0
21.912 * [backup-simplify]: Simplify 1 into 1
21.913 * [backup-simplify]: Simplify (/ 1 1) into 1
21.913 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
21.913 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
21.913 * [taylor]: Taking taylor expansion of 2 in k
21.913 * [backup-simplify]: Simplify 2 into 2
21.913 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.913 * [taylor]: Taking taylor expansion of PI in k
21.913 * [backup-simplify]: Simplify PI into PI
21.913 * [taylor]: Taking taylor expansion of n in k
21.913 * [backup-simplify]: Simplify n into n
21.913 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.913 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
21.913 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
21.914 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.914 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.914 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.915 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
21.915 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.915 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.915 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.915 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.915 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.915 * [taylor]: Taking taylor expansion of 1/2 in n
21.915 * [backup-simplify]: Simplify 1/2 into 1/2
21.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.915 * [taylor]: Taking taylor expansion of 1/2 in n
21.915 * [backup-simplify]: Simplify 1/2 into 1/2
21.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.915 * [taylor]: Taking taylor expansion of k in n
21.915 * [backup-simplify]: Simplify k into k
21.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.915 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.915 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.915 * [taylor]: Taking taylor expansion of 2 in n
21.915 * [backup-simplify]: Simplify 2 into 2
21.915 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.915 * [taylor]: Taking taylor expansion of PI in n
21.915 * [backup-simplify]: Simplify PI into PI
21.915 * [taylor]: Taking taylor expansion of n in n
21.915 * [backup-simplify]: Simplify 0 into 0
21.915 * [backup-simplify]: Simplify 1 into 1
21.916 * [backup-simplify]: Simplify (/ PI 1) into PI
21.916 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.917 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.918 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.918 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.920 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.921 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.921 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.921 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.921 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.922 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.922 * [taylor]: Taking taylor expansion of 1/2 in n
21.922 * [backup-simplify]: Simplify 1/2 into 1/2
21.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.922 * [taylor]: Taking taylor expansion of 1/2 in n
21.922 * [backup-simplify]: Simplify 1/2 into 1/2
21.922 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.922 * [taylor]: Taking taylor expansion of k in n
21.922 * [backup-simplify]: Simplify k into k
21.922 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.922 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.922 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.922 * [taylor]: Taking taylor expansion of 2 in n
21.922 * [backup-simplify]: Simplify 2 into 2
21.922 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.922 * [taylor]: Taking taylor expansion of PI in n
21.922 * [backup-simplify]: Simplify PI into PI
21.922 * [taylor]: Taking taylor expansion of n in n
21.922 * [backup-simplify]: Simplify 0 into 0
21.922 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (/ PI 1) into PI
21.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.924 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.924 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.927 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.928 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.928 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
21.928 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
21.928 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.928 * [taylor]: Taking taylor expansion of 1/2 in k
21.928 * [backup-simplify]: Simplify 1/2 into 1/2
21.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.928 * [taylor]: Taking taylor expansion of 1/2 in k
21.928 * [backup-simplify]: Simplify 1/2 into 1/2
21.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.928 * [taylor]: Taking taylor expansion of k in k
21.928 * [backup-simplify]: Simplify 0 into 0
21.928 * [backup-simplify]: Simplify 1 into 1
21.929 * [backup-simplify]: Simplify (/ 1 1) into 1
21.929 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
21.929 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.929 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.929 * [taylor]: Taking taylor expansion of 2 in k
21.929 * [backup-simplify]: Simplify 2 into 2
21.929 * [taylor]: Taking taylor expansion of PI in k
21.929 * [backup-simplify]: Simplify PI into PI
21.930 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.930 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.931 * [taylor]: Taking taylor expansion of (log n) in k
21.931 * [taylor]: Taking taylor expansion of n in k
21.931 * [backup-simplify]: Simplify n into n
21.931 * [backup-simplify]: Simplify (log n) into (log n)
21.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.932 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.932 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.932 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.933 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
21.934 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
21.936 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.937 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.938 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.941 * [backup-simplify]: Simplify (- 0) into 0
21.942 * [backup-simplify]: Simplify (+ 0 0) into 0
21.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.944 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
21.946 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.946 * [taylor]: Taking taylor expansion of 0 in k
21.946 * [backup-simplify]: Simplify 0 into 0
21.946 * [backup-simplify]: Simplify 0 into 0
21.946 * [backup-simplify]: Simplify 0 into 0
21.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.953 * [backup-simplify]: Simplify (- 0) into 0
21.954 * [backup-simplify]: Simplify (+ 0 0) into 0
21.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.957 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
21.959 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.959 * [taylor]: Taking taylor expansion of 0 in k
21.959 * [backup-simplify]: Simplify 0 into 0
21.959 * [backup-simplify]: Simplify 0 into 0
21.960 * [backup-simplify]: Simplify 0 into 0
21.960 * [backup-simplify]: Simplify 0 into 0
21.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.968 * [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
21.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.970 * [backup-simplify]: Simplify (- 0) into 0
21.971 * [backup-simplify]: Simplify (+ 0 0) into 0
21.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.974 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
21.977 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.977 * [taylor]: Taking taylor expansion of 0 in k
21.977 * [backup-simplify]: Simplify 0 into 0
21.977 * [backup-simplify]: Simplify 0 into 0
21.978 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
21.979 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
21.979 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
21.979 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
21.979 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
21.979 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
21.979 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.979 * [taylor]: Taking taylor expansion of 1/2 in k
21.979 * [backup-simplify]: Simplify 1/2 into 1/2
21.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.979 * [taylor]: Taking taylor expansion of k in k
21.979 * [backup-simplify]: Simplify 0 into 0
21.979 * [backup-simplify]: Simplify 1 into 1
21.980 * [backup-simplify]: Simplify (/ 1 1) into 1
21.980 * [taylor]: Taking taylor expansion of 1/2 in k
21.980 * [backup-simplify]: Simplify 1/2 into 1/2
21.980 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
21.980 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
21.980 * [taylor]: Taking taylor expansion of -2 in k
21.980 * [backup-simplify]: Simplify -2 into -2
21.980 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.980 * [taylor]: Taking taylor expansion of PI in k
21.980 * [backup-simplify]: Simplify PI into PI
21.980 * [taylor]: Taking taylor expansion of n in k
21.980 * [backup-simplify]: Simplify n into n
21.980 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.980 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
21.980 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
21.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.981 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.981 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
21.982 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
21.982 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.982 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.982 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.982 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.982 * [taylor]: Taking taylor expansion of 1/2 in n
21.982 * [backup-simplify]: Simplify 1/2 into 1/2
21.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.982 * [taylor]: Taking taylor expansion of k in n
21.982 * [backup-simplify]: Simplify k into k
21.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.982 * [taylor]: Taking taylor expansion of 1/2 in n
21.982 * [backup-simplify]: Simplify 1/2 into 1/2
21.982 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.982 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.982 * [taylor]: Taking taylor expansion of -2 in n
21.982 * [backup-simplify]: Simplify -2 into -2
21.982 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.982 * [taylor]: Taking taylor expansion of PI in n
21.982 * [backup-simplify]: Simplify PI into PI
21.982 * [taylor]: Taking taylor expansion of n in n
21.982 * [backup-simplify]: Simplify 0 into 0
21.982 * [backup-simplify]: Simplify 1 into 1
21.983 * [backup-simplify]: Simplify (/ PI 1) into PI
21.983 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.984 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.984 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.985 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.987 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.988 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.989 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.989 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.989 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.989 * [taylor]: Taking taylor expansion of 1/2 in n
21.989 * [backup-simplify]: Simplify 1/2 into 1/2
21.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.989 * [taylor]: Taking taylor expansion of k in n
21.989 * [backup-simplify]: Simplify k into k
21.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.989 * [taylor]: Taking taylor expansion of 1/2 in n
21.989 * [backup-simplify]: Simplify 1/2 into 1/2
21.989 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.989 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.989 * [taylor]: Taking taylor expansion of -2 in n
21.989 * [backup-simplify]: Simplify -2 into -2
21.989 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.989 * [taylor]: Taking taylor expansion of PI in n
21.989 * [backup-simplify]: Simplify PI into PI
21.989 * [taylor]: Taking taylor expansion of n in n
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [backup-simplify]: Simplify 1 into 1
21.990 * [backup-simplify]: Simplify (/ PI 1) into PI
21.990 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.991 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.992 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.992 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.994 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.996 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.996 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
21.996 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
21.996 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.996 * [taylor]: Taking taylor expansion of 1/2 in k
21.996 * [backup-simplify]: Simplify 1/2 into 1/2
21.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.996 * [taylor]: Taking taylor expansion of k in k
21.996 * [backup-simplify]: Simplify 0 into 0
21.996 * [backup-simplify]: Simplify 1 into 1
21.997 * [backup-simplify]: Simplify (/ 1 1) into 1
21.997 * [taylor]: Taking taylor expansion of 1/2 in k
21.997 * [backup-simplify]: Simplify 1/2 into 1/2
21.997 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
21.997 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
21.997 * [taylor]: Taking taylor expansion of (* -2 PI) in k
21.997 * [taylor]: Taking taylor expansion of -2 in k
21.997 * [backup-simplify]: Simplify -2 into -2
21.997 * [taylor]: Taking taylor expansion of PI in k
21.997 * [backup-simplify]: Simplify PI into PI
21.997 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.998 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.998 * [taylor]: Taking taylor expansion of (log n) in k
21.998 * [taylor]: Taking taylor expansion of n in k
21.998 * [backup-simplify]: Simplify n into n
21.998 * [backup-simplify]: Simplify (log n) into (log n)
21.998 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.999 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.999 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
22.000 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
22.000 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.001 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.002 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
22.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.004 * [backup-simplify]: Simplify (+ 0 0) into 0
22.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.005 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
22.006 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.006 * [taylor]: Taking taylor expansion of 0 in k
22.006 * [backup-simplify]: Simplify 0 into 0
22.006 * [backup-simplify]: Simplify 0 into 0
22.006 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.008 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.010 * [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
22.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.015 * [backup-simplify]: Simplify (+ 0 0) into 0
22.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.016 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
22.018 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.018 * [taylor]: Taking taylor expansion of 0 in k
22.018 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.019 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.022 * [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
22.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
22.023 * [backup-simplify]: Simplify (+ 0 0) into 0
22.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.025 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
22.027 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.027 * [taylor]: Taking taylor expansion of 0 in k
22.027 * [backup-simplify]: Simplify 0 into 0
22.027 * [backup-simplify]: Simplify 0 into 0
22.028 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
22.028 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
22.028 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
22.028 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
22.028 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
22.028 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
22.028 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
22.028 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
22.028 * [taylor]: Taking taylor expansion of 1/2 in k
22.028 * [backup-simplify]: Simplify 1/2 into 1/2
22.028 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
22.028 * [taylor]: Taking taylor expansion of 1/2 in k
22.028 * [backup-simplify]: Simplify 1/2 into 1/2
22.028 * [taylor]: Taking taylor expansion of k in k
22.028 * [backup-simplify]: Simplify 0 into 0
22.028 * [backup-simplify]: Simplify 1 into 1
22.028 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
22.028 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
22.028 * [taylor]: Taking taylor expansion of 2 in k
22.028 * [backup-simplify]: Simplify 2 into 2
22.028 * [taylor]: Taking taylor expansion of (* n PI) in k
22.028 * [taylor]: Taking taylor expansion of n in k
22.028 * [backup-simplify]: Simplify n into n
22.028 * [taylor]: Taking taylor expansion of PI in k
22.028 * [backup-simplify]: Simplify PI into PI
22.028 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.028 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
22.028 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
22.029 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.029 * [backup-simplify]: Simplify (- 0) into 0
22.029 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.029 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
22.029 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
22.029 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
22.029 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
22.029 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
22.029 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
22.029 * [taylor]: Taking taylor expansion of 1/2 in n
22.030 * [backup-simplify]: Simplify 1/2 into 1/2
22.030 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
22.030 * [taylor]: Taking taylor expansion of 1/2 in n
22.030 * [backup-simplify]: Simplify 1/2 into 1/2
22.030 * [taylor]: Taking taylor expansion of k in n
22.030 * [backup-simplify]: Simplify k into k
22.030 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.030 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.030 * [taylor]: Taking taylor expansion of 2 in n
22.030 * [backup-simplify]: Simplify 2 into 2
22.030 * [taylor]: Taking taylor expansion of (* n PI) in n
22.030 * [taylor]: Taking taylor expansion of n in n
22.030 * [backup-simplify]: Simplify 0 into 0
22.030 * [backup-simplify]: Simplify 1 into 1
22.030 * [taylor]: Taking taylor expansion of PI in n
22.030 * [backup-simplify]: Simplify PI into PI
22.030 * [backup-simplify]: Simplify (* 0 PI) into 0
22.030 * [backup-simplify]: Simplify (* 2 0) into 0
22.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.032 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.033 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
22.033 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
22.033 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
22.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.034 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
22.035 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
22.035 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
22.035 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
22.035 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
22.035 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
22.035 * [taylor]: Taking taylor expansion of 1/2 in n
22.035 * [backup-simplify]: Simplify 1/2 into 1/2
22.035 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
22.035 * [taylor]: Taking taylor expansion of 1/2 in n
22.035 * [backup-simplify]: Simplify 1/2 into 1/2
22.035 * [taylor]: Taking taylor expansion of k in n
22.035 * [backup-simplify]: Simplify k into k
22.035 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.035 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.035 * [taylor]: Taking taylor expansion of 2 in n
22.035 * [backup-simplify]: Simplify 2 into 2
22.035 * [taylor]: Taking taylor expansion of (* n PI) in n
22.035 * [taylor]: Taking taylor expansion of n in n
22.035 * [backup-simplify]: Simplify 0 into 0
22.035 * [backup-simplify]: Simplify 1 into 1
22.035 * [taylor]: Taking taylor expansion of PI in n
22.035 * [backup-simplify]: Simplify PI into PI
22.036 * [backup-simplify]: Simplify (* 0 PI) into 0
22.036 * [backup-simplify]: Simplify (* 2 0) into 0
22.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.038 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.038 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.038 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
22.038 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
22.038 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
22.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.040 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
22.041 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
22.041 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
22.041 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
22.041 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
22.041 * [taylor]: Taking taylor expansion of 1/2 in k
22.041 * [backup-simplify]: Simplify 1/2 into 1/2
22.041 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
22.041 * [taylor]: Taking taylor expansion of 1/2 in k
22.041 * [backup-simplify]: Simplify 1/2 into 1/2
22.041 * [taylor]: Taking taylor expansion of k in k
22.041 * [backup-simplify]: Simplify 0 into 0
22.041 * [backup-simplify]: Simplify 1 into 1
22.041 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
22.041 * [taylor]: Taking taylor expansion of (log n) in k
22.041 * [taylor]: Taking taylor expansion of n in k
22.041 * [backup-simplify]: Simplify n into n
22.041 * [backup-simplify]: Simplify (log n) into (log n)
22.041 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.041 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.041 * [taylor]: Taking taylor expansion of 2 in k
22.041 * [backup-simplify]: Simplify 2 into 2
22.041 * [taylor]: Taking taylor expansion of PI in k
22.041 * [backup-simplify]: Simplify PI into PI
22.041 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.042 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.042 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.042 * [backup-simplify]: Simplify (- 0) into 0
22.043 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.043 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.044 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
22.045 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
22.045 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
22.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
22.048 * [backup-simplify]: Simplify (- 0) into 0
22.048 * [backup-simplify]: Simplify (+ 0 0) into 0
22.049 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.050 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
22.051 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.051 * [taylor]: Taking taylor expansion of 0 in k
22.051 * [backup-simplify]: Simplify 0 into 0
22.051 * [backup-simplify]: Simplify 0 into 0
22.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
22.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.053 * [backup-simplify]: Simplify (+ 0 0) into 0
22.054 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.054 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.054 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
22.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.058 * [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)))))))
22.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
22.062 * [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
22.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
22.063 * [backup-simplify]: Simplify (- 0) into 0
22.063 * [backup-simplify]: Simplify (+ 0 0) into 0
22.064 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.065 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
22.066 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.066 * [taylor]: Taking taylor expansion of 0 in k
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [backup-simplify]: Simplify 0 into 0
22.066 * [backup-simplify]: Simplify 0 into 0
22.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
22.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.069 * [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
22.070 * [backup-simplify]: Simplify (+ 0 0) into 0
22.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
22.071 * [backup-simplify]: Simplify (- 0) into 0
22.071 * [backup-simplify]: Simplify (+ 0 0) into 0
22.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
22.074 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
22.077 * [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)))))
22.082 * [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)))))
22.083 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
22.083 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
22.083 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
22.083 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
22.083 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
22.083 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.083 * [taylor]: Taking taylor expansion of 1/2 in k
22.083 * [backup-simplify]: Simplify 1/2 into 1/2
22.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.083 * [taylor]: Taking taylor expansion of 1/2 in k
22.083 * [backup-simplify]: Simplify 1/2 into 1/2
22.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.083 * [taylor]: Taking taylor expansion of k in k
22.083 * [backup-simplify]: Simplify 0 into 0
22.083 * [backup-simplify]: Simplify 1 into 1
22.083 * [backup-simplify]: Simplify (/ 1 1) into 1
22.083 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
22.083 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
22.083 * [taylor]: Taking taylor expansion of 2 in k
22.083 * [backup-simplify]: Simplify 2 into 2
22.083 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.083 * [taylor]: Taking taylor expansion of PI in k
22.083 * [backup-simplify]: Simplify PI into PI
22.083 * [taylor]: Taking taylor expansion of n in k
22.083 * [backup-simplify]: Simplify n into n
22.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.083 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
22.084 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
22.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.084 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.084 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.084 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
22.085 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
22.085 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.085 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.085 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.085 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.085 * [taylor]: Taking taylor expansion of 1/2 in n
22.085 * [backup-simplify]: Simplify 1/2 into 1/2
22.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.085 * [taylor]: Taking taylor expansion of 1/2 in n
22.085 * [backup-simplify]: Simplify 1/2 into 1/2
22.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.085 * [taylor]: Taking taylor expansion of k in n
22.085 * [backup-simplify]: Simplify k into k
22.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.085 * [taylor]: Taking taylor expansion of 2 in n
22.085 * [backup-simplify]: Simplify 2 into 2
22.085 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.085 * [taylor]: Taking taylor expansion of PI in n
22.085 * [backup-simplify]: Simplify PI into PI
22.085 * [taylor]: Taking taylor expansion of n in n
22.085 * [backup-simplify]: Simplify 0 into 0
22.085 * [backup-simplify]: Simplify 1 into 1
22.085 * [backup-simplify]: Simplify (/ PI 1) into PI
22.085 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.086 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.086 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.086 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.088 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.088 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.088 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.088 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.088 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.088 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.088 * [taylor]: Taking taylor expansion of 1/2 in n
22.088 * [backup-simplify]: Simplify 1/2 into 1/2
22.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.089 * [taylor]: Taking taylor expansion of 1/2 in n
22.089 * [backup-simplify]: Simplify 1/2 into 1/2
22.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.089 * [taylor]: Taking taylor expansion of k in n
22.089 * [backup-simplify]: Simplify k into k
22.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.089 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.089 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.089 * [taylor]: Taking taylor expansion of 2 in n
22.089 * [backup-simplify]: Simplify 2 into 2
22.089 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.089 * [taylor]: Taking taylor expansion of PI in n
22.089 * [backup-simplify]: Simplify PI into PI
22.089 * [taylor]: Taking taylor expansion of n in n
22.089 * [backup-simplify]: Simplify 0 into 0
22.089 * [backup-simplify]: Simplify 1 into 1
22.089 * [backup-simplify]: Simplify (/ PI 1) into PI
22.089 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.090 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.090 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.090 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.090 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.092 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.092 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.092 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
22.092 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
22.092 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.092 * [taylor]: Taking taylor expansion of 1/2 in k
22.092 * [backup-simplify]: Simplify 1/2 into 1/2
22.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.092 * [taylor]: Taking taylor expansion of 1/2 in k
22.092 * [backup-simplify]: Simplify 1/2 into 1/2
22.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.092 * [taylor]: Taking taylor expansion of k in k
22.092 * [backup-simplify]: Simplify 0 into 0
22.092 * [backup-simplify]: Simplify 1 into 1
22.093 * [backup-simplify]: Simplify (/ 1 1) into 1
22.093 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
22.093 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.093 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.093 * [taylor]: Taking taylor expansion of 2 in k
22.093 * [backup-simplify]: Simplify 2 into 2
22.093 * [taylor]: Taking taylor expansion of PI in k
22.093 * [backup-simplify]: Simplify PI into PI
22.093 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.094 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.094 * [taylor]: Taking taylor expansion of (log n) in k
22.094 * [taylor]: Taking taylor expansion of n in k
22.094 * [backup-simplify]: Simplify n into n
22.094 * [backup-simplify]: Simplify (log n) into (log n)
22.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.094 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.095 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.095 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.095 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
22.096 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
22.101 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.101 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.102 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.104 * [backup-simplify]: Simplify (- 0) into 0
22.104 * [backup-simplify]: Simplify (+ 0 0) into 0
22.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.106 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
22.107 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.107 * [taylor]: Taking taylor expansion of 0 in k
22.107 * [backup-simplify]: Simplify 0 into 0
22.107 * [backup-simplify]: Simplify 0 into 0
22.107 * [backup-simplify]: Simplify 0 into 0
22.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.110 * [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
22.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.111 * [backup-simplify]: Simplify (- 0) into 0
22.111 * [backup-simplify]: Simplify (+ 0 0) into 0
22.112 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.113 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
22.114 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.114 * [taylor]: Taking taylor expansion of 0 in k
22.114 * [backup-simplify]: Simplify 0 into 0
22.114 * [backup-simplify]: Simplify 0 into 0
22.114 * [backup-simplify]: Simplify 0 into 0
22.114 * [backup-simplify]: Simplify 0 into 0
22.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.118 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
22.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
22.120 * [backup-simplify]: Simplify (- 0) into 0
22.120 * [backup-simplify]: Simplify (+ 0 0) into 0
22.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.122 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
22.124 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.124 * [taylor]: Taking taylor expansion of 0 in k
22.124 * [backup-simplify]: Simplify 0 into 0
22.124 * [backup-simplify]: Simplify 0 into 0
22.124 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
22.125 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
22.125 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
22.125 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
22.125 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
22.125 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
22.125 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.125 * [taylor]: Taking taylor expansion of 1/2 in k
22.125 * [backup-simplify]: Simplify 1/2 into 1/2
22.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.125 * [taylor]: Taking taylor expansion of k in k
22.125 * [backup-simplify]: Simplify 0 into 0
22.125 * [backup-simplify]: Simplify 1 into 1
22.125 * [backup-simplify]: Simplify (/ 1 1) into 1
22.125 * [taylor]: Taking taylor expansion of 1/2 in k
22.125 * [backup-simplify]: Simplify 1/2 into 1/2
22.125 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
22.125 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
22.125 * [taylor]: Taking taylor expansion of -2 in k
22.125 * [backup-simplify]: Simplify -2 into -2
22.126 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.126 * [taylor]: Taking taylor expansion of PI in k
22.126 * [backup-simplify]: Simplify PI into PI
22.126 * [taylor]: Taking taylor expansion of n in k
22.126 * [backup-simplify]: Simplify n into n
22.126 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.126 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
22.126 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
22.126 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.126 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.126 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
22.126 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
22.127 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.127 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.127 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.127 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.127 * [taylor]: Taking taylor expansion of 1/2 in n
22.127 * [backup-simplify]: Simplify 1/2 into 1/2
22.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.127 * [taylor]: Taking taylor expansion of k in n
22.127 * [backup-simplify]: Simplify k into k
22.127 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.127 * [taylor]: Taking taylor expansion of 1/2 in n
22.127 * [backup-simplify]: Simplify 1/2 into 1/2
22.127 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.127 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.127 * [taylor]: Taking taylor expansion of -2 in n
22.127 * [backup-simplify]: Simplify -2 into -2
22.127 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.127 * [taylor]: Taking taylor expansion of PI in n
22.127 * [backup-simplify]: Simplify PI into PI
22.127 * [taylor]: Taking taylor expansion of n in n
22.127 * [backup-simplify]: Simplify 0 into 0
22.127 * [backup-simplify]: Simplify 1 into 1
22.127 * [backup-simplify]: Simplify (/ PI 1) into PI
22.128 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.128 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.128 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.128 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.130 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.130 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.130 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.130 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.130 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.130 * [taylor]: Taking taylor expansion of 1/2 in n
22.130 * [backup-simplify]: Simplify 1/2 into 1/2
22.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.131 * [taylor]: Taking taylor expansion of k in n
22.131 * [backup-simplify]: Simplify k into k
22.131 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.131 * [taylor]: Taking taylor expansion of 1/2 in n
22.131 * [backup-simplify]: Simplify 1/2 into 1/2
22.131 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.131 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.131 * [taylor]: Taking taylor expansion of -2 in n
22.131 * [backup-simplify]: Simplify -2 into -2
22.131 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.131 * [taylor]: Taking taylor expansion of PI in n
22.131 * [backup-simplify]: Simplify PI into PI
22.131 * [taylor]: Taking taylor expansion of n in n
22.131 * [backup-simplify]: Simplify 0 into 0
22.131 * [backup-simplify]: Simplify 1 into 1
22.131 * [backup-simplify]: Simplify (/ PI 1) into PI
22.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.132 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.132 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.132 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.134 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.136 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.136 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
22.136 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
22.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.136 * [taylor]: Taking taylor expansion of 1/2 in k
22.136 * [backup-simplify]: Simplify 1/2 into 1/2
22.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.136 * [taylor]: Taking taylor expansion of k in k
22.136 * [backup-simplify]: Simplify 0 into 0
22.136 * [backup-simplify]: Simplify 1 into 1
22.136 * [backup-simplify]: Simplify (/ 1 1) into 1
22.136 * [taylor]: Taking taylor expansion of 1/2 in k
22.136 * [backup-simplify]: Simplify 1/2 into 1/2
22.136 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
22.136 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
22.136 * [taylor]: Taking taylor expansion of (* -2 PI) in k
22.136 * [taylor]: Taking taylor expansion of -2 in k
22.137 * [backup-simplify]: Simplify -2 into -2
22.137 * [taylor]: Taking taylor expansion of PI in k
22.137 * [backup-simplify]: Simplify PI into PI
22.137 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.137 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.137 * [taylor]: Taking taylor expansion of (log n) in k
22.137 * [taylor]: Taking taylor expansion of n in k
22.138 * [backup-simplify]: Simplify n into n
22.138 * [backup-simplify]: Simplify (log n) into (log n)
22.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.138 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.138 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.139 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
22.139 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
22.140 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.141 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.142 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
22.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.143 * [backup-simplify]: Simplify (+ 0 0) into 0
22.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.145 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
22.146 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.146 * [taylor]: Taking taylor expansion of 0 in k
22.146 * [backup-simplify]: Simplify 0 into 0
22.146 * [backup-simplify]: Simplify 0 into 0
22.146 * [backup-simplify]: Simplify 0 into 0
22.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.147 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.149 * [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
22.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.150 * [backup-simplify]: Simplify (+ 0 0) into 0
22.151 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.154 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
22.155 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.155 * [taylor]: Taking taylor expansion of 0 in k
22.155 * [backup-simplify]: Simplify 0 into 0
22.155 * [backup-simplify]: Simplify 0 into 0
22.155 * [backup-simplify]: Simplify 0 into 0
22.155 * [backup-simplify]: Simplify 0 into 0
22.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.157 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.163 * [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
22.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
22.165 * [backup-simplify]: Simplify (+ 0 0) into 0
22.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.168 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
22.171 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.171 * [taylor]: Taking taylor expansion of 0 in k
22.171 * [backup-simplify]: Simplify 0 into 0
22.171 * [backup-simplify]: Simplify 0 into 0
22.172 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
22.172 * * * * [progress]: [ 3 / 4 ] generating series at (2)
22.174 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
22.174 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
22.174 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
22.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.174 * [taylor]: Taking taylor expansion of k in k
22.174 * [backup-simplify]: Simplify 0 into 0
22.174 * [backup-simplify]: Simplify 1 into 1
22.174 * [backup-simplify]: Simplify (/ 1 1) into 1
22.175 * [backup-simplify]: Simplify (sqrt 0) into 0
22.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.176 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
22.176 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
22.176 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
22.176 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
22.176 * [taylor]: Taking taylor expansion of 1/2 in k
22.176 * [backup-simplify]: Simplify 1/2 into 1/2
22.176 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
22.176 * [taylor]: Taking taylor expansion of 1/2 in k
22.176 * [backup-simplify]: Simplify 1/2 into 1/2
22.176 * [taylor]: Taking taylor expansion of k in k
22.176 * [backup-simplify]: Simplify 0 into 0
22.176 * [backup-simplify]: Simplify 1 into 1
22.176 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
22.176 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
22.176 * [taylor]: Taking taylor expansion of 2 in k
22.176 * [backup-simplify]: Simplify 2 into 2
22.176 * [taylor]: Taking taylor expansion of (* n PI) in k
22.176 * [taylor]: Taking taylor expansion of n in k
22.177 * [backup-simplify]: Simplify n into n
22.177 * [taylor]: Taking taylor expansion of PI in k
22.177 * [backup-simplify]: Simplify PI into PI
22.177 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.177 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
22.177 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
22.177 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.178 * [backup-simplify]: Simplify (- 0) into 0
22.178 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.178 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
22.178 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
22.178 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
22.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
22.178 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.178 * [taylor]: Taking taylor expansion of k in n
22.178 * [backup-simplify]: Simplify k into k
22.178 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.179 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
22.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
22.179 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
22.179 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
22.179 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
22.179 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
22.179 * [taylor]: Taking taylor expansion of 1/2 in n
22.179 * [backup-simplify]: Simplify 1/2 into 1/2
22.179 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
22.179 * [taylor]: Taking taylor expansion of 1/2 in n
22.179 * [backup-simplify]: Simplify 1/2 into 1/2
22.179 * [taylor]: Taking taylor expansion of k in n
22.179 * [backup-simplify]: Simplify k into k
22.179 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.179 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.179 * [taylor]: Taking taylor expansion of 2 in n
22.179 * [backup-simplify]: Simplify 2 into 2
22.179 * [taylor]: Taking taylor expansion of (* n PI) in n
22.179 * [taylor]: Taking taylor expansion of n in n
22.179 * [backup-simplify]: Simplify 0 into 0
22.179 * [backup-simplify]: Simplify 1 into 1
22.179 * [taylor]: Taking taylor expansion of PI in n
22.179 * [backup-simplify]: Simplify PI into PI
22.180 * [backup-simplify]: Simplify (* 0 PI) into 0
22.180 * [backup-simplify]: Simplify (* 2 0) into 0
22.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.183 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.184 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.184 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
22.185 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
22.185 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
22.186 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.187 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
22.188 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
22.188 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
22.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
22.188 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.188 * [taylor]: Taking taylor expansion of k in n
22.188 * [backup-simplify]: Simplify k into k
22.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.188 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
22.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
22.189 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
22.189 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
22.189 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
22.189 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
22.189 * [taylor]: Taking taylor expansion of 1/2 in n
22.189 * [backup-simplify]: Simplify 1/2 into 1/2
22.189 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
22.189 * [taylor]: Taking taylor expansion of 1/2 in n
22.189 * [backup-simplify]: Simplify 1/2 into 1/2
22.189 * [taylor]: Taking taylor expansion of k in n
22.189 * [backup-simplify]: Simplify k into k
22.189 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.189 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.189 * [taylor]: Taking taylor expansion of 2 in n
22.189 * [backup-simplify]: Simplify 2 into 2
22.189 * [taylor]: Taking taylor expansion of (* n PI) in n
22.189 * [taylor]: Taking taylor expansion of n in n
22.189 * [backup-simplify]: Simplify 0 into 0
22.189 * [backup-simplify]: Simplify 1 into 1
22.189 * [taylor]: Taking taylor expansion of PI in n
22.189 * [backup-simplify]: Simplify PI into PI
22.190 * [backup-simplify]: Simplify (* 0 PI) into 0
22.190 * [backup-simplify]: Simplify (* 2 0) into 0
22.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.193 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.194 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.194 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
22.194 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
22.194 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
22.195 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.197 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
22.198 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
22.199 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
22.199 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
22.199 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
22.199 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
22.199 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
22.199 * [taylor]: Taking taylor expansion of 1/2 in k
22.199 * [backup-simplify]: Simplify 1/2 into 1/2
22.199 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
22.199 * [taylor]: Taking taylor expansion of 1/2 in k
22.199 * [backup-simplify]: Simplify 1/2 into 1/2
22.199 * [taylor]: Taking taylor expansion of k in k
22.199 * [backup-simplify]: Simplify 0 into 0
22.199 * [backup-simplify]: Simplify 1 into 1
22.199 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
22.199 * [taylor]: Taking taylor expansion of (log n) in k
22.199 * [taylor]: Taking taylor expansion of n in k
22.199 * [backup-simplify]: Simplify n into n
22.199 * [backup-simplify]: Simplify (log n) into (log n)
22.199 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.199 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.199 * [taylor]: Taking taylor expansion of 2 in k
22.199 * [backup-simplify]: Simplify 2 into 2
22.199 * [taylor]: Taking taylor expansion of PI in k
22.200 * [backup-simplify]: Simplify PI into PI
22.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.201 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.201 * [backup-simplify]: Simplify (* 1/2 0) into 0
22.202 * [backup-simplify]: Simplify (- 0) into 0
22.202 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.203 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.204 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
22.205 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
22.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.205 * [taylor]: Taking taylor expansion of k in k
22.205 * [backup-simplify]: Simplify 0 into 0
22.205 * [backup-simplify]: Simplify 1 into 1
22.206 * [backup-simplify]: Simplify (/ 1 1) into 1
22.206 * [backup-simplify]: Simplify (sqrt 0) into 0
22.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.215 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
22.215 * [backup-simplify]: Simplify 0 into 0
22.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
22.220 * [backup-simplify]: Simplify (- 0) into 0
22.220 * [backup-simplify]: Simplify (+ 0 0) into 0
22.222 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.223 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
22.224 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.225 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
22.225 * [taylor]: Taking taylor expansion of 0 in k
22.225 * [backup-simplify]: Simplify 0 into 0
22.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
22.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.227 * [backup-simplify]: Simplify (+ 0 0) into 0
22.227 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
22.227 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.228 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
22.230 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.233 * [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)))))))
22.233 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.235 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
22.236 * [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
22.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
22.237 * [backup-simplify]: Simplify (- 0) into 0
22.237 * [backup-simplify]: Simplify (+ 0 0) into 0
22.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.239 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
22.240 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
22.242 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
22.242 * [taylor]: Taking taylor expansion of 0 in k
22.242 * [backup-simplify]: Simplify 0 into 0
22.242 * [backup-simplify]: Simplify 0 into 0
22.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.244 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
22.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.248 * [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
22.248 * [backup-simplify]: Simplify (+ 0 0) into 0
22.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
22.249 * [backup-simplify]: Simplify (- 0) into 0
22.249 * [backup-simplify]: Simplify (+ 0 0) into 0
22.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
22.252 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
22.260 * [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))))))))
22.265 * [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))))))))
22.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.266 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
22.269 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
22.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
22.270 * [backup-simplify]: Simplify (- 0) into 0
22.270 * [backup-simplify]: Simplify (+ 0 0) into 0
22.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.272 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
22.274 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
22.276 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
22.276 * [taylor]: Taking taylor expansion of 0 in k
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.282 * [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
22.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.289 * [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
22.289 * [backup-simplify]: Simplify (+ 0 0) into 0
22.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
22.291 * [backup-simplify]: Simplify (- 0) into 0
22.291 * [backup-simplify]: Simplify (+ 0 0) into 0
22.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
22.298 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.313 * [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))))))))))))))
22.325 * [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))))))))))))))
22.337 * [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))))))))))))))))))))))
22.338 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
22.338 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
22.338 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
22.338 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.338 * [taylor]: Taking taylor expansion of k in k
22.338 * [backup-simplify]: Simplify 0 into 0
22.338 * [backup-simplify]: Simplify 1 into 1
22.338 * [backup-simplify]: Simplify (sqrt 0) into 0
22.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.339 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
22.339 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
22.339 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
22.339 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.339 * [taylor]: Taking taylor expansion of 1/2 in k
22.339 * [backup-simplify]: Simplify 1/2 into 1/2
22.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.339 * [taylor]: Taking taylor expansion of 1/2 in k
22.339 * [backup-simplify]: Simplify 1/2 into 1/2
22.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.339 * [taylor]: Taking taylor expansion of k in k
22.339 * [backup-simplify]: Simplify 0 into 0
22.339 * [backup-simplify]: Simplify 1 into 1
22.339 * [backup-simplify]: Simplify (/ 1 1) into 1
22.339 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
22.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
22.340 * [taylor]: Taking taylor expansion of 2 in k
22.340 * [backup-simplify]: Simplify 2 into 2
22.340 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.340 * [taylor]: Taking taylor expansion of PI in k
22.340 * [backup-simplify]: Simplify PI into PI
22.340 * [taylor]: Taking taylor expansion of n in k
22.340 * [backup-simplify]: Simplify n into n
22.340 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.340 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
22.340 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
22.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.340 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.341 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.341 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
22.341 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
22.341 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
22.341 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.341 * [taylor]: Taking taylor expansion of k in n
22.341 * [backup-simplify]: Simplify k into k
22.341 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.341 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.341 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.341 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.341 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.341 * [taylor]: Taking taylor expansion of 1/2 in n
22.341 * [backup-simplify]: Simplify 1/2 into 1/2
22.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.341 * [taylor]: Taking taylor expansion of 1/2 in n
22.341 * [backup-simplify]: Simplify 1/2 into 1/2
22.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.341 * [taylor]: Taking taylor expansion of k in n
22.341 * [backup-simplify]: Simplify k into k
22.341 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.341 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.341 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.341 * [taylor]: Taking taylor expansion of 2 in n
22.341 * [backup-simplify]: Simplify 2 into 2
22.341 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.341 * [taylor]: Taking taylor expansion of PI in n
22.341 * [backup-simplify]: Simplify PI into PI
22.341 * [taylor]: Taking taylor expansion of n in n
22.341 * [backup-simplify]: Simplify 0 into 0
22.341 * [backup-simplify]: Simplify 1 into 1
22.342 * [backup-simplify]: Simplify (/ PI 1) into PI
22.342 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.342 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.343 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.343 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.343 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.344 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.345 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.345 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
22.345 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.345 * [taylor]: Taking taylor expansion of k in n
22.345 * [backup-simplify]: Simplify k into k
22.345 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.345 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.345 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.345 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.345 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.345 * [taylor]: Taking taylor expansion of 1/2 in n
22.345 * [backup-simplify]: Simplify 1/2 into 1/2
22.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.345 * [taylor]: Taking taylor expansion of 1/2 in n
22.345 * [backup-simplify]: Simplify 1/2 into 1/2
22.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.345 * [taylor]: Taking taylor expansion of k in n
22.345 * [backup-simplify]: Simplify k into k
22.346 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.346 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.346 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.346 * [taylor]: Taking taylor expansion of 2 in n
22.346 * [backup-simplify]: Simplify 2 into 2
22.346 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.346 * [taylor]: Taking taylor expansion of PI in n
22.346 * [backup-simplify]: Simplify PI into PI
22.346 * [taylor]: Taking taylor expansion of n in n
22.346 * [backup-simplify]: Simplify 0 into 0
22.346 * [backup-simplify]: Simplify 1 into 1
22.346 * [backup-simplify]: Simplify (/ PI 1) into PI
22.346 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.347 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.347 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.347 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.347 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.349 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.349 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.350 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
22.350 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
22.350 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
22.350 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
22.350 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.350 * [taylor]: Taking taylor expansion of 1/2 in k
22.350 * [backup-simplify]: Simplify 1/2 into 1/2
22.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.350 * [taylor]: Taking taylor expansion of 1/2 in k
22.350 * [backup-simplify]: Simplify 1/2 into 1/2
22.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.350 * [taylor]: Taking taylor expansion of k in k
22.350 * [backup-simplify]: Simplify 0 into 0
22.350 * [backup-simplify]: Simplify 1 into 1
22.350 * [backup-simplify]: Simplify (/ 1 1) into 1
22.350 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
22.350 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.351 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.351 * [taylor]: Taking taylor expansion of 2 in k
22.351 * [backup-simplify]: Simplify 2 into 2
22.351 * [taylor]: Taking taylor expansion of PI in k
22.351 * [backup-simplify]: Simplify PI into PI
22.351 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.351 * [taylor]: Taking taylor expansion of (log n) in k
22.351 * [taylor]: Taking taylor expansion of n in k
22.351 * [backup-simplify]: Simplify n into n
22.352 * [backup-simplify]: Simplify (log n) into (log n)
22.352 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.352 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.352 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.352 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.353 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
22.354 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
22.355 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.355 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.355 * [taylor]: Taking taylor expansion of k in k
22.355 * [backup-simplify]: Simplify 0 into 0
22.355 * [backup-simplify]: Simplify 1 into 1
22.356 * [backup-simplify]: Simplify (sqrt 0) into 0
22.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.359 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
22.359 * [backup-simplify]: Simplify 0 into 0
22.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.360 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.363 * [backup-simplify]: Simplify (- 0) into 0
22.364 * [backup-simplify]: Simplify (+ 0 0) into 0
22.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.366 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
22.368 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.370 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
22.370 * [taylor]: Taking taylor expansion of 0 in k
22.370 * [backup-simplify]: Simplify 0 into 0
22.370 * [backup-simplify]: Simplify 0 into 0
22.371 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.372 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.377 * [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
22.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.378 * [backup-simplify]: Simplify (- 0) into 0
22.378 * [backup-simplify]: Simplify (+ 0 0) into 0
22.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.380 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
22.382 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
22.383 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
22.383 * [taylor]: Taking taylor expansion of 0 in k
22.383 * [backup-simplify]: Simplify 0 into 0
22.383 * [backup-simplify]: Simplify 0 into 0
22.383 * [backup-simplify]: Simplify 0 into 0
22.385 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.386 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.387 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.391 * [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
22.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
22.392 * [backup-simplify]: Simplify (- 0) into 0
22.393 * [backup-simplify]: Simplify (+ 0 0) into 0
22.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.396 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
22.399 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
22.401 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
22.401 * [taylor]: Taking taylor expansion of 0 in k
22.401 * [backup-simplify]: Simplify 0 into 0
22.402 * [backup-simplify]: Simplify 0 into 0
22.402 * [backup-simplify]: Simplify 0 into 0
22.402 * [backup-simplify]: Simplify 0 into 0
22.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.405 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.406 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.408 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
22.409 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
22.409 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
22.409 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
22.409 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
22.409 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
22.409 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
22.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.409 * [taylor]: Taking taylor expansion of 1/2 in k
22.409 * [backup-simplify]: Simplify 1/2 into 1/2
22.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.409 * [taylor]: Taking taylor expansion of k in k
22.409 * [backup-simplify]: Simplify 0 into 0
22.409 * [backup-simplify]: Simplify 1 into 1
22.410 * [backup-simplify]: Simplify (/ 1 1) into 1
22.410 * [taylor]: Taking taylor expansion of 1/2 in k
22.410 * [backup-simplify]: Simplify 1/2 into 1/2
22.410 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
22.410 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
22.410 * [taylor]: Taking taylor expansion of -2 in k
22.410 * [backup-simplify]: Simplify -2 into -2
22.410 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.410 * [taylor]: Taking taylor expansion of PI in k
22.410 * [backup-simplify]: Simplify PI into PI
22.410 * [taylor]: Taking taylor expansion of n in k
22.410 * [backup-simplify]: Simplify n into n
22.410 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.410 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
22.410 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
22.410 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.410 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.411 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
22.411 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
22.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.411 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.411 * [taylor]: Taking taylor expansion of -1 in k
22.411 * [backup-simplify]: Simplify -1 into -1
22.411 * [taylor]: Taking taylor expansion of k in k
22.411 * [backup-simplify]: Simplify 0 into 0
22.411 * [backup-simplify]: Simplify 1 into 1
22.411 * [backup-simplify]: Simplify (/ -1 1) into -1
22.411 * [backup-simplify]: Simplify (sqrt 0) into 0
22.412 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.412 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
22.412 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
22.412 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.412 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.412 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.412 * [taylor]: Taking taylor expansion of 1/2 in n
22.412 * [backup-simplify]: Simplify 1/2 into 1/2
22.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.412 * [taylor]: Taking taylor expansion of k in n
22.412 * [backup-simplify]: Simplify k into k
22.412 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.412 * [taylor]: Taking taylor expansion of 1/2 in n
22.412 * [backup-simplify]: Simplify 1/2 into 1/2
22.413 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.413 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.413 * [taylor]: Taking taylor expansion of -2 in n
22.413 * [backup-simplify]: Simplify -2 into -2
22.413 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.413 * [taylor]: Taking taylor expansion of PI in n
22.413 * [backup-simplify]: Simplify PI into PI
22.413 * [taylor]: Taking taylor expansion of n in n
22.413 * [backup-simplify]: Simplify 0 into 0
22.413 * [backup-simplify]: Simplify 1 into 1
22.417 * [backup-simplify]: Simplify (/ PI 1) into PI
22.417 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.418 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.418 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.418 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.420 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.420 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.420 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.420 * [taylor]: Taking taylor expansion of -1 in n
22.420 * [backup-simplify]: Simplify -1 into -1
22.420 * [taylor]: Taking taylor expansion of k in n
22.420 * [backup-simplify]: Simplify k into k
22.421 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.421 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.421 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.421 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
22.421 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
22.421 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.422 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.422 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.422 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.422 * [taylor]: Taking taylor expansion of 1/2 in n
22.422 * [backup-simplify]: Simplify 1/2 into 1/2
22.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.422 * [taylor]: Taking taylor expansion of k in n
22.422 * [backup-simplify]: Simplify k into k
22.422 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.422 * [taylor]: Taking taylor expansion of 1/2 in n
22.422 * [backup-simplify]: Simplify 1/2 into 1/2
22.422 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.422 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.422 * [taylor]: Taking taylor expansion of -2 in n
22.422 * [backup-simplify]: Simplify -2 into -2
22.422 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.422 * [taylor]: Taking taylor expansion of PI in n
22.422 * [backup-simplify]: Simplify PI into PI
22.422 * [taylor]: Taking taylor expansion of n in n
22.422 * [backup-simplify]: Simplify 0 into 0
22.422 * [backup-simplify]: Simplify 1 into 1
22.422 * [backup-simplify]: Simplify (/ PI 1) into PI
22.422 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.423 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.423 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.423 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.425 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.425 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.425 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.425 * [taylor]: Taking taylor expansion of -1 in n
22.425 * [backup-simplify]: Simplify -1 into -1
22.425 * [taylor]: Taking taylor expansion of k in n
22.425 * [backup-simplify]: Simplify k into k
22.425 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.426 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.426 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.426 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
22.427 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
22.427 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
22.427 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
22.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.427 * [taylor]: Taking taylor expansion of 1/2 in k
22.427 * [backup-simplify]: Simplify 1/2 into 1/2
22.427 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.427 * [taylor]: Taking taylor expansion of k in k
22.427 * [backup-simplify]: Simplify 0 into 0
22.427 * [backup-simplify]: Simplify 1 into 1
22.427 * [backup-simplify]: Simplify (/ 1 1) into 1
22.427 * [taylor]: Taking taylor expansion of 1/2 in k
22.427 * [backup-simplify]: Simplify 1/2 into 1/2
22.427 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
22.427 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
22.427 * [taylor]: Taking taylor expansion of (* -2 PI) in k
22.427 * [taylor]: Taking taylor expansion of -2 in k
22.427 * [backup-simplify]: Simplify -2 into -2
22.427 * [taylor]: Taking taylor expansion of PI in k
22.427 * [backup-simplify]: Simplify PI into PI
22.427 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.428 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.428 * [taylor]: Taking taylor expansion of (log n) in k
22.428 * [taylor]: Taking taylor expansion of n in k
22.428 * [backup-simplify]: Simplify n into n
22.428 * [backup-simplify]: Simplify (log n) into (log n)
22.428 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.429 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.429 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.429 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
22.430 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
22.431 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.431 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.431 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.431 * [taylor]: Taking taylor expansion of -1 in k
22.431 * [backup-simplify]: Simplify -1 into -1
22.431 * [taylor]: Taking taylor expansion of k in k
22.431 * [backup-simplify]: Simplify 0 into 0
22.431 * [backup-simplify]: Simplify 1 into 1
22.431 * [backup-simplify]: Simplify (/ -1 1) into -1
22.431 * [backup-simplify]: Simplify (sqrt 0) into 0
22.432 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.433 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
22.434 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
22.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.435 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
22.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.436 * [backup-simplify]: Simplify (+ 0 0) into 0
22.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.438 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
22.439 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.440 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
22.440 * [taylor]: Taking taylor expansion of 0 in k
22.440 * [backup-simplify]: Simplify 0 into 0
22.440 * [backup-simplify]: Simplify 0 into 0
22.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
22.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.443 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.444 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.445 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.447 * [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
22.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.448 * [backup-simplify]: Simplify (+ 0 0) into 0
22.449 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.450 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
22.451 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.451 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
22.453 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
22.453 * [taylor]: Taking taylor expansion of 0 in k
22.453 * [backup-simplify]: Simplify 0 into 0
22.453 * [backup-simplify]: Simplify 0 into 0
22.453 * [backup-simplify]: Simplify 0 into 0
22.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.458 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.459 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.462 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
22.462 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
22.462 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
22.462 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
22.462 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.462 * [taylor]: Taking taylor expansion of 2 in n
22.462 * [backup-simplify]: Simplify 2 into 2
22.462 * [taylor]: Taking taylor expansion of (* n PI) in n
22.463 * [taylor]: Taking taylor expansion of n in n
22.463 * [backup-simplify]: Simplify 0 into 0
22.463 * [backup-simplify]: Simplify 1 into 1
22.463 * [taylor]: Taking taylor expansion of PI in n
22.463 * [backup-simplify]: Simplify PI into PI
22.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.463 * [taylor]: Taking taylor expansion of 2 in n
22.463 * [backup-simplify]: Simplify 2 into 2
22.463 * [taylor]: Taking taylor expansion of (* n PI) in n
22.463 * [taylor]: Taking taylor expansion of n in n
22.463 * [backup-simplify]: Simplify 0 into 0
22.463 * [backup-simplify]: Simplify 1 into 1
22.463 * [taylor]: Taking taylor expansion of PI in n
22.463 * [backup-simplify]: Simplify PI into PI
22.463 * [backup-simplify]: Simplify (* 0 PI) into 0
22.463 * [backup-simplify]: Simplify (* 2 0) into 0
22.463 * [backup-simplify]: Simplify 0 into 0
22.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.465 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.466 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.467 * [backup-simplify]: Simplify 0 into 0
22.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
22.468 * [backup-simplify]: Simplify 0 into 0
22.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
22.470 * [backup-simplify]: Simplify 0 into 0
22.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
22.472 * [backup-simplify]: Simplify 0 into 0
22.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
22.474 * [backup-simplify]: Simplify 0 into 0
22.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
22.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
22.478 * [backup-simplify]: Simplify 0 into 0
22.478 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
22.479 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
22.479 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
22.479 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.479 * [taylor]: Taking taylor expansion of 2 in n
22.479 * [backup-simplify]: Simplify 2 into 2
22.479 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.479 * [taylor]: Taking taylor expansion of PI in n
22.479 * [backup-simplify]: Simplify PI into PI
22.479 * [taylor]: Taking taylor expansion of n in n
22.479 * [backup-simplify]: Simplify 0 into 0
22.479 * [backup-simplify]: Simplify 1 into 1
22.480 * [backup-simplify]: Simplify (/ PI 1) into PI
22.480 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.480 * [taylor]: Taking taylor expansion of 2 in n
22.480 * [backup-simplify]: Simplify 2 into 2
22.480 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.480 * [taylor]: Taking taylor expansion of PI in n
22.480 * [backup-simplify]: Simplify PI into PI
22.480 * [taylor]: Taking taylor expansion of n in n
22.480 * [backup-simplify]: Simplify 0 into 0
22.480 * [backup-simplify]: Simplify 1 into 1
22.481 * [backup-simplify]: Simplify (/ PI 1) into PI
22.481 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.482 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.483 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.483 * [backup-simplify]: Simplify 0 into 0
22.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.485 * [backup-simplify]: Simplify 0 into 0
22.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.488 * [backup-simplify]: Simplify 0 into 0
22.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.490 * [backup-simplify]: Simplify 0 into 0
22.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.493 * [backup-simplify]: Simplify 0 into 0
22.494 * [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
22.496 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.496 * [backup-simplify]: Simplify 0 into 0
22.497 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
22.497 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
22.497 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
22.497 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.497 * [taylor]: Taking taylor expansion of -2 in n
22.497 * [backup-simplify]: Simplify -2 into -2
22.497 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.497 * [taylor]: Taking taylor expansion of PI in n
22.497 * [backup-simplify]: Simplify PI into PI
22.497 * [taylor]: Taking taylor expansion of n in n
22.497 * [backup-simplify]: Simplify 0 into 0
22.497 * [backup-simplify]: Simplify 1 into 1
22.497 * [backup-simplify]: Simplify (/ PI 1) into PI
22.497 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.497 * [taylor]: Taking taylor expansion of -2 in n
22.497 * [backup-simplify]: Simplify -2 into -2
22.497 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.497 * [taylor]: Taking taylor expansion of PI in n
22.498 * [backup-simplify]: Simplify PI into PI
22.498 * [taylor]: Taking taylor expansion of n in n
22.498 * [backup-simplify]: Simplify 0 into 0
22.498 * [backup-simplify]: Simplify 1 into 1
22.498 * [backup-simplify]: Simplify (/ PI 1) into PI
22.498 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.498 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.499 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.499 * [backup-simplify]: Simplify 0 into 0
22.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.501 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.501 * [backup-simplify]: Simplify 0 into 0
22.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.502 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.502 * [backup-simplify]: Simplify 0 into 0
22.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.503 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.503 * [backup-simplify]: Simplify 0 into 0
22.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.505 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.505 * [backup-simplify]: Simplify 0 into 0
22.506 * [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
22.507 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.507 * [backup-simplify]: Simplify 0 into 0
22.507 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
22.507 * * * [progress]: simplifying candidates
22.507 * * * * [progress]: [ 1 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 2 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 3 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 4 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 5 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 6 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 7 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 8 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))))>
22.508 * * * * [progress]: [ 9 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 10 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 11 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.508 * * * * [progress]: [ 12 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 13 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 14 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.508 * * * * [progress]: [ 15 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 16 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 17 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.508 * * * * [progress]: [ 18 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))))>
22.508 * * * * [progress]: [ 19 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 20 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 21 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 22 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 23 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 24 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.509 * * * * [progress]: [ 25 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 26 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.509 * * * * [progress]: [ 27 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 28 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 29 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 30 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 31 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 32 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 33 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 34 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 35 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 36 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 37 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 38 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 39 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 40 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 41 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.509 * * * * [progress]: [ 42 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 43 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 44 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 45 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 46 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 47 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 48 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 49 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 50 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 51 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 52 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.510 * * * * [progress]: [ 53 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 1/2)))>
22.510 * * * * [progress]: [ 54 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 (/ 1 2))))>
22.510 * * * * [progress]: [ 55 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
22.510 * * * * [progress]: [ 56 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) 1/2)))>
22.510 * * * * [progress]: [ 57 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) (/ 1 2))))>
22.510 * * * * [progress]: [ 58 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1/2))>
22.510 * * * * [progress]: [ 59 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
22.510 * * * * [progress]: [ 60 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 2)))>
22.510 * * * * [progress]: [ 61 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 2))>
22.510 * * * * [progress]: [ 62 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
22.510 * * * * [progress]: [ 63 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
22.510 * * * * [progress]: [ 64 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.510 * * * * [progress]: [ 65 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.510 * * * * [progress]: [ 66 / 327 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.510 * * * * [progress]: [ 67 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 68 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 69 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 70 / 327 ] simplifiying candidate #<alt (λ (k n) (sqrt (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.511 * * * * [progress]: [ 71 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 72 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
22.511 * * * * [progress]: [ 73 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))>
22.511 * * * * [progress]: [ 74 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.511 * * * * [progress]: [ 75 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 76 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 77 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 78 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.511 * * * * [progress]: [ 79 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 80 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 81 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.511 * * * * [progress]: [ 82 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.511 * * * * [progress]: [ 83 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 84 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 85 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 86 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.511 * * * * [progress]: [ 87 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.511 * * * * [progress]: [ 88 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.512 * * * * [progress]: [ 89 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 90 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 91 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 92 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 93 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.512 * * * * [progress]: [ 94 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.512 * * * * [progress]: [ 95 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 96 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 97 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.512 * * * * [progress]: [ 98 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.512 * * * * [progress]: [ 99 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 100 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 101 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 102 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 103 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.512 * * * * [progress]: [ 104 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.512 * * * * [progress]: [ 105 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 106 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 107 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 108 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.512 * * * * [progress]: [ 109 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.513 * * * * [progress]: [ 110 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.513 * * * * [progress]: [ 111 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 112 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
22.513 * * * * [progress]: [ 113 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 114 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 115 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
22.513 * * * * [progress]: [ 116 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 117 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 118 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
22.513 * * * * [progress]: [ 119 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 120 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
22.513 * * * * [progress]: [ 121 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 122 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 123 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.513 * * * * [progress]: [ 124 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 125 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 126 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.513 * * * * [progress]: [ 127 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
22.513 * * * * [progress]: [ 128 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
22.513 * * * * [progress]: [ 129 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 130 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 131 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.514 * * * * [progress]: [ 132 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 133 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 134 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.514 * * * * [progress]: [ 135 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 136 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
22.514 * * * * [progress]: [ 137 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 138 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 139 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.514 * * * * [progress]: [ 140 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 141 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 142 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.514 * * * * [progress]: [ 143 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 144 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))))>
22.514 * * * * [progress]: [ 145 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 146 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 147 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
22.514 * * * * [progress]: [ 148 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.514 * * * * [progress]: [ 149 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 150 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
22.515 * * * * [progress]: [ 151 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.515 * * * * [progress]: [ 152 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
22.515 * * * * [progress]: [ 153 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 154 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 155 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* 1 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.515 * * * * [progress]: [ 156 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 157 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 158 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 159 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 160 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 161 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 162 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 163 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 164 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 165 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 166 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 167 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 168 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.515 * * * * [progress]: [ 169 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.515 * * * * [progress]: [ 170 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 171 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 172 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 173 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 174 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 175 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 176 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 177 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 178 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 179 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 180 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 181 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 182 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 183 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 184 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 185 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 186 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.516 * * * * [progress]: [ 187 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 188 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 189 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.516 * * * * [progress]: [ 190 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.517 * * * * [progress]: [ 191 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.517 * * * * [progress]: [ 192 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 1/2)))>
22.517 * * * * [progress]: [ 193 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* 2 1)))>
22.517 * * * * [progress]: [ 194 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 (/ 1 2))))>
22.517 * * * * [progress]: [ 195 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.517 * * * * [progress]: [ 196 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.517 * * * * [progress]: [ 197 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.517 * * * * [progress]: [ 198 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
22.517 * * * * [progress]: [ 199 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
22.517 * * * * [progress]: [ 200 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.517 * * * * [progress]: [ 201 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.517 * * * * [progress]: [ 202 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.517 * * * * [progress]: [ 203 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.517 * * * * [progress]: [ 204 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
22.517 * * * * [progress]: [ 205 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
22.517 * * * * [progress]: [ 206 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.517 * * * * [progress]: [ 207 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.517 * * * * [progress]: [ 208 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.517 * * * * [progress]: [ 209 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.517 * * * * [progress]: [ 210 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
22.517 * * * * [progress]: [ 211 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
22.517 * * * * [progress]: [ 212 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 213 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.518 * * * * [progress]: [ 214 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 215 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.518 * * * * [progress]: [ 216 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
22.518 * * * * [progress]: [ 217 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
22.518 * * * * [progress]: [ 218 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 219 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.518 * * * * [progress]: [ 220 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 221 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.518 * * * * [progress]: [ 222 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
22.518 * * * * [progress]: [ 223 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
22.518 * * * * [progress]: [ 224 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 225 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.518 * * * * [progress]: [ 226 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 227 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.518 * * * * [progress]: [ 228 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
22.518 * * * * [progress]: [ 229 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
22.518 * * * * [progress]: [ 230 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 231 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.518 * * * * [progress]: [ 232 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.518 * * * * [progress]: [ 233 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.518 * * * * [progress]: [ 234 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))))))>
22.519 * * * * [progress]: [ 235 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))))))>
22.519 * * * * [progress]: [ 236 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
22.519 * * * * [progress]: [ 237 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
22.519 * * * * [progress]: [ 238 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
22.519 * * * * [progress]: [ 239 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
22.519 * * * * [progress]: [ 240 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1)) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.519 * * * * [progress]: [ 241 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt k)))))>
22.519 * * * * [progress]: [ 242 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 243 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.519 * * * * [progress]: [ 244 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 245 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 246 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 247 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 248 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 249 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 250 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 251 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 252 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 253 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 254 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 255 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.519 * * * * [progress]: [ 256 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 257 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 258 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 259 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 260 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 261 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 262 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 263 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 264 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 265 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 266 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 267 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 268 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 269 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 270 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 271 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 272 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 273 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 274 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 275 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 276 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 277 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.520 * * * * [progress]: [ 278 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 279 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 280 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 281 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 282 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 283 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 284 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 285 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 286 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 287 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 288 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 289 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 290 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 291 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 292 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.521 * * * * [progress]: [ 293 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))>
22.521 * * * * [progress]: [ 294 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt k))))>
22.521 * * * * [progress]: [ 295 / 327 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.521 * * * * [progress]: [ 296 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 297 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 298 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 299 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 300 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 301 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.521 * * * * [progress]: [ 302 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 303 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 304 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 305 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 306 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 307 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 308 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 309 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 310 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 311 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 312 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 313 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 314 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 315 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 316 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (- (+ (* 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)))))>
22.522 * * * * [progress]: [ 317 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))))>
22.522 * * * * [progress]: [ 318 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))))>
22.522 * * * * [progress]: [ 319 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (- (+ (* 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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 320 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 321 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.522 * * * * [progress]: [ 322 / 327 ] 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)))))))))))))))))))))))>
22.522 * * * * [progress]: [ 323 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
22.522 * * * * [progress]: [ 324 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
22.523 * * * * [progress]: [ 325 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.523 * * * * [progress]: [ 326 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.523 * * * * [progress]: [ 327 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.535 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (+ 1 1)
  (+ (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (log (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (exp (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt k)) (sqrt (sqrt k)))
  (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
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  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
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  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
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  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
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  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
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  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
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  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1)
  (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
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  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (real->posit16 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* 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)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
22.552 * * [simplify]: iteration 1: (451 enodes)
22.761 * * [simplify]: iteration 2: (914 enodes)
23.190 * * [simplify]: Extracting #0: cost 145 inf + 0
23.191 * * [simplify]: Extracting #1: cost 584 inf + 2
23.194 * * [simplify]: Extracting #2: cost 799 inf + 2565
23.201 * * [simplify]: Extracting #3: cost 807 inf + 28230
23.220 * * [simplify]: Extracting #4: cost 597 inf + 106573
23.269 * * [simplify]: Extracting #5: cost 315 inf + 242951
23.337 * * [simplify]: Extracting #6: cost 134 inf + 374619
23.405 * * [simplify]: Extracting #7: cost 28 inf + 447494
23.479 * * [simplify]: Extracting #8: cost 2 inf + 467192
23.573 * * [simplify]: Extracting #9: cost 0 inf + 469032
23.654 * [simplify]: Simplified to:
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 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))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
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  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (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))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
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  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  1
  2
  1
  (* (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (fabs (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (* (* PI 2) n))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (* (* PI 2) n))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (* (* PI 2) n))))
  (* (sqrt (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (* (* PI 2) n))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (fabs (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (fabs (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (fabs (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ 1 (fabs (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))
  (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 8 (* (* PI PI) PI)) (* n n)) n)
  (* (* (* 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)
  (* (cbrt n) (* PI 2))
  (* PI (* 2 (sqrt n)))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (+ (+ (* (* (* (sqrt (* (* PI 2) n)) 1/8) (* k k)) (* (log n) (log n))) (+ (sqrt (* (* PI 2) n)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (sqrt (* (* PI 2) n)))))) (- (* (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (log n))) (* k k)) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/2)))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (+ (+ (* (* (* (sqrt (* (* PI 2) n)) 1/8) (* k k)) (* (log n) (log n))) (+ (sqrt (* (* PI 2) n)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (sqrt (* (* PI 2) n)))))) (- (* (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (log n))) (* k k)) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/2)))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (+ (- (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* (log n) (* k k)) +nan.0)) (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* k k) +nan.0))) (- (* (* (sqrt (* (* PI 2) n)) +nan.0) (* (* k (log n)) (* k (log n)))) (+ (- (* +nan.0 (* k (sqrt (* (* PI 2) n)))) (* (sqrt (* (* PI 2) n)) +nan.0)) (+ (- (* (* (sqrt (* (* PI 2) n)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) +nan.0)) (* (* (sqrt (* (* PI 2) n)) +nan.0) (* (log n) (* k k)))) (- (* (sqrt (* (* PI 2) n)) (* (* k k) +nan.0)) (* +nan.0 (- (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) k) (* (sqrt (* (* PI 2) n)) (* (log n) k))))))))))
  (- (- (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) (* (* k k) k)) (- (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) k) (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) (* k k)))))
  (+ (/ (- (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0)) k) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
23.701 * * * [progress]: adding candidates to table
28.318 * [progress]: [Phase 3 of 3] Extracting.
28.318 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))))>)
28.319 * * * [regime-changes]: Trying 2 branch expressions: (n k)
28.319 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))))>)
28.377 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))))>)
28.436 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
28.436 * [simplify]: Simplifying:
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
28.436 * * [simplify]: iteration 1: (14 enodes)
28.438 * * [simplify]: iteration 2: (16 enodes)
28.439 * * [simplify]: Extracting #0: cost 1 inf + 0
28.439 * * [simplify]: Extracting #1: cost 3 inf + 0
28.439 * * [simplify]: Extracting #2: cost 4 inf + 1
28.439 * * [simplify]: Extracting #3: cost 7 inf + 1
28.439 * * [simplify]: Extracting #4: cost 9 inf + 43
28.439 * * [simplify]: Extracting #5: cost 9 inf + 45
28.439 * * [simplify]: Extracting #6: cost 6 inf + 89
28.439 * * [simplify]: Extracting #7: cost 2 inf + 672
28.439 * * [simplify]: Extracting #8: cost 0 inf + 1623
28.440 * [simplify]: Simplified to:
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
36.223 * [regime-testing]: Baseline error score: 0.3838446528051515
36.227 * [regime-testing]: Oracle error score: 0.038398200390666604
36.235 * [regime-testing]: End program error score: 0.3838446528051515