36.740 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.250 * * * [progress]: [2/2] Setting up program.
0.256 * [progress]: [Phase 2 of 3] Improving.
0.256 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.256 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.256 * * [simplify]: iteration 1: (13 enodes)
0.263 * * [simplify]: iteration 2: (29 enodes)
0.274 * * [simplify]: iteration 3: (60 enodes)
0.298 * * [simplify]: iteration 4: (123 enodes)
0.409 * * [simplify]: iteration 5: (322 enodes)
1.043 * * [simplify]: iteration 6: (821 enodes)
2.175 * * [simplify]: Extracting #0: cost 1 inf + 0
2.175 * * [simplify]: Extracting #1: cost 58 inf + 0
2.176 * * [simplify]: Extracting #2: cost 184 inf + 1
2.177 * * [simplify]: Extracting #3: cost 251 inf + 46
2.179 * * [simplify]: Extracting #4: cost 228 inf + 1879
2.183 * * [simplify]: Extracting #5: cost 157 inf + 21169
2.220 * * [simplify]: Extracting #6: cost 45 inf + 113683
2.260 * * [simplify]: Extracting #7: cost 0 inf + 157567
2.320 * * [simplify]: Extracting #8: cost 0 inf + 157407
2.357 * [simplify]: Simplified to:
  (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
2.366 * * [progress]: iteration 1 / 4
2.366 * * * [progress]: picking best candidate
2.377 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
2.377 * * * [progress]: localizing error
2.418 * * * [progress]: generating rewritten candidates
2.418 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
2.435 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
2.461 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
2.494 * * * [progress]: generating series expansions
2.494 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
2.494 * [backup-simplify]: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
2.494 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
2.494 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.494 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.494 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.494 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.494 * [taylor]: Taking taylor expansion of 1/2 in k
2.494 * [backup-simplify]: Simplify 1/2 into 1/2
2.494 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.494 * [taylor]: Taking taylor expansion of 1/2 in k
2.494 * [backup-simplify]: Simplify 1/2 into 1/2
2.494 * [taylor]: Taking taylor expansion of k in k
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.495 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.495 * [taylor]: Taking taylor expansion of 2 in k
2.495 * [backup-simplify]: Simplify 2 into 2
2.495 * [taylor]: Taking taylor expansion of (* n PI) in k
2.495 * [taylor]: Taking taylor expansion of n in k
2.495 * [backup-simplify]: Simplify n into n
2.495 * [taylor]: Taking taylor expansion of PI in k
2.495 * [backup-simplify]: Simplify PI into PI
2.495 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.495 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.495 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.496 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.496 * [backup-simplify]: Simplify (- 0) into 0
2.497 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.497 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.497 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.497 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.497 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.497 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.497 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.497 * [taylor]: Taking taylor expansion of 1/2 in n
2.497 * [backup-simplify]: Simplify 1/2 into 1/2
2.497 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.497 * [taylor]: Taking taylor expansion of 1/2 in n
2.497 * [backup-simplify]: Simplify 1/2 into 1/2
2.497 * [taylor]: Taking taylor expansion of k in n
2.497 * [backup-simplify]: Simplify k into k
2.497 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.497 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.497 * [taylor]: Taking taylor expansion of 2 in n
2.497 * [backup-simplify]: Simplify 2 into 2
2.497 * [taylor]: Taking taylor expansion of (* n PI) in n
2.497 * [taylor]: Taking taylor expansion of n in n
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of PI in n
2.497 * [backup-simplify]: Simplify PI into PI
2.498 * [backup-simplify]: Simplify (* 0 PI) into 0
2.498 * [backup-simplify]: Simplify (* 2 0) into 0
2.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.502 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.503 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.503 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.503 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.503 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.506 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.507 * [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)))))
2.507 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.507 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.507 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.507 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.507 * [taylor]: Taking taylor expansion of 1/2 in n
2.507 * [backup-simplify]: Simplify 1/2 into 1/2
2.507 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.507 * [taylor]: Taking taylor expansion of 1/2 in n
2.507 * [backup-simplify]: Simplify 1/2 into 1/2
2.507 * [taylor]: Taking taylor expansion of k in n
2.507 * [backup-simplify]: Simplify k into k
2.507 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.508 * [taylor]: Taking taylor expansion of 2 in n
2.508 * [backup-simplify]: Simplify 2 into 2
2.508 * [taylor]: Taking taylor expansion of (* n PI) in n
2.508 * [taylor]: Taking taylor expansion of n in n
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of PI in n
2.508 * [backup-simplify]: Simplify PI into PI
2.508 * [backup-simplify]: Simplify (* 0 PI) into 0
2.509 * [backup-simplify]: Simplify (* 2 0) into 0
2.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.512 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.513 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.513 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.513 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.513 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.516 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.517 * [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)))))
2.517 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.517 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.517 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.517 * [taylor]: Taking taylor expansion of 1/2 in k
2.517 * [backup-simplify]: Simplify 1/2 into 1/2
2.517 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.517 * [taylor]: Taking taylor expansion of 1/2 in k
2.517 * [backup-simplify]: Simplify 1/2 into 1/2
2.517 * [taylor]: Taking taylor expansion of k in k
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.517 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.517 * [taylor]: Taking taylor expansion of (log n) in k
2.517 * [taylor]: Taking taylor expansion of n in k
2.517 * [backup-simplify]: Simplify n into n
2.517 * [backup-simplify]: Simplify (log n) into (log n)
2.517 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.518 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.518 * [taylor]: Taking taylor expansion of 2 in k
2.518 * [backup-simplify]: Simplify 2 into 2
2.518 * [taylor]: Taking taylor expansion of PI in k
2.518 * [backup-simplify]: Simplify PI into PI
2.518 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.519 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.520 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.520 * [backup-simplify]: Simplify (- 0) into 0
2.520 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.521 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.522 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.523 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.524 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.527 * [backup-simplify]: Simplify (- 0) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.535 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.537 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.537 * [taylor]: Taking taylor expansion of 0 in k
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.538 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.540 * [backup-simplify]: Simplify (+ 0 0) into 0
2.540 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.540 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.541 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.543 * [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)))))))
2.545 * [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)))))))
2.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.549 * [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
2.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.550 * [backup-simplify]: Simplify (- 0) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.552 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.553 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.553 * [taylor]: Taking taylor expansion of 0 in k
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.559 * [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
2.560 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.561 * [backup-simplify]: Simplify (- 0) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.568 * [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)))))
2.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.584 * [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)))))
2.584 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.584 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.584 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.584 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.584 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.584 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.584 * [taylor]: Taking taylor expansion of 1/2 in k
2.584 * [backup-simplify]: Simplify 1/2 into 1/2
2.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.584 * [taylor]: Taking taylor expansion of 1/2 in k
2.584 * [backup-simplify]: Simplify 1/2 into 1/2
2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.584 * [taylor]: Taking taylor expansion of k in k
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (/ 1 1) into 1
2.585 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.585 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.585 * [taylor]: Taking taylor expansion of 2 in k
2.585 * [backup-simplify]: Simplify 2 into 2
2.585 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.585 * [taylor]: Taking taylor expansion of PI in k
2.585 * [backup-simplify]: Simplify PI into PI
2.585 * [taylor]: Taking taylor expansion of n in k
2.585 * [backup-simplify]: Simplify n into n
2.585 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.585 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.585 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.586 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.586 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.586 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.586 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.587 * [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))))
2.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.587 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.587 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.587 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.587 * [taylor]: Taking taylor expansion of 1/2 in n
2.587 * [backup-simplify]: Simplify 1/2 into 1/2
2.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.587 * [taylor]: Taking taylor expansion of 1/2 in n
2.587 * [backup-simplify]: Simplify 1/2 into 1/2
2.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.587 * [taylor]: Taking taylor expansion of k in n
2.587 * [backup-simplify]: Simplify k into k
2.587 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.587 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.587 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.587 * [taylor]: Taking taylor expansion of 2 in n
2.587 * [backup-simplify]: Simplify 2 into 2
2.587 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.587 * [taylor]: Taking taylor expansion of PI in n
2.587 * [backup-simplify]: Simplify PI into PI
2.587 * [taylor]: Taking taylor expansion of n in n
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify 1 into 1
2.588 * [backup-simplify]: Simplify (/ PI 1) into PI
2.588 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.589 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.590 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.590 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.592 * [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)))
2.593 * [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))))
2.593 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.593 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.593 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.593 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.593 * [taylor]: Taking taylor expansion of 1/2 in n
2.593 * [backup-simplify]: Simplify 1/2 into 1/2
2.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.593 * [taylor]: Taking taylor expansion of 1/2 in n
2.593 * [backup-simplify]: Simplify 1/2 into 1/2
2.593 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.593 * [taylor]: Taking taylor expansion of k in n
2.593 * [backup-simplify]: Simplify k into k
2.593 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.594 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.594 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.594 * [taylor]: Taking taylor expansion of 2 in n
2.594 * [backup-simplify]: Simplify 2 into 2
2.594 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.594 * [taylor]: Taking taylor expansion of PI in n
2.594 * [backup-simplify]: Simplify PI into PI
2.594 * [taylor]: Taking taylor expansion of n in n
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (/ PI 1) into PI
2.595 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.596 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.596 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.596 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.596 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.598 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.599 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.600 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.600 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.600 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.600 * [taylor]: Taking taylor expansion of 1/2 in k
2.600 * [backup-simplify]: Simplify 1/2 into 1/2
2.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.600 * [taylor]: Taking taylor expansion of 1/2 in k
2.600 * [backup-simplify]: Simplify 1/2 into 1/2
2.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.600 * [taylor]: Taking taylor expansion of k in k
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 1 into 1
2.600 * [backup-simplify]: Simplify (/ 1 1) into 1
2.600 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.600 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.600 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.600 * [taylor]: Taking taylor expansion of 2 in k
2.600 * [backup-simplify]: Simplify 2 into 2
2.600 * [taylor]: Taking taylor expansion of PI in k
2.600 * [backup-simplify]: Simplify PI into PI
2.601 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.602 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.602 * [taylor]: Taking taylor expansion of (log n) in k
2.602 * [taylor]: Taking taylor expansion of n in k
2.602 * [backup-simplify]: Simplify n into n
2.602 * [backup-simplify]: Simplify (log n) into (log n)
2.602 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.602 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.603 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.603 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.604 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.605 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.606 * [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))))
2.607 * [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))))
2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.611 * [backup-simplify]: Simplify (- 0) into 0
2.611 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.614 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.616 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.616 * [taylor]: Taking taylor expansion of 0 in k
2.616 * [backup-simplify]: Simplify 0 into 0
2.616 * [backup-simplify]: Simplify 0 into 0
2.616 * [backup-simplify]: Simplify 0 into 0
2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.621 * [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
2.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.622 * [backup-simplify]: Simplify (- 0) into 0
2.622 * [backup-simplify]: Simplify (+ 0 0) into 0
2.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.625 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.627 * [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
2.627 * [taylor]: Taking taylor expansion of 0 in k
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.635 * [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
2.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.638 * [backup-simplify]: Simplify (- 0) into 0
2.638 * [backup-simplify]: Simplify (+ 0 0) into 0
2.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.640 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.642 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.642 * [taylor]: Taking taylor expansion of 0 in k
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 0 into 0
2.643 * [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)))))
2.643 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.643 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.643 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.643 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.643 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.643 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.643 * [taylor]: Taking taylor expansion of 1/2 in k
2.643 * [backup-simplify]: Simplify 1/2 into 1/2
2.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.643 * [taylor]: Taking taylor expansion of k in k
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 1 into 1
2.643 * [backup-simplify]: Simplify (/ 1 1) into 1
2.643 * [taylor]: Taking taylor expansion of 1/2 in k
2.643 * [backup-simplify]: Simplify 1/2 into 1/2
2.643 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.644 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.644 * [taylor]: Taking taylor expansion of -2 in k
2.644 * [backup-simplify]: Simplify -2 into -2
2.644 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.644 * [taylor]: Taking taylor expansion of PI in k
2.644 * [backup-simplify]: Simplify PI into PI
2.644 * [taylor]: Taking taylor expansion of n in k
2.644 * [backup-simplify]: Simplify n into n
2.644 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.644 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.644 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.644 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.644 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.644 * [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)))
2.645 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.645 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.645 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.645 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.645 * [taylor]: Taking taylor expansion of 1/2 in n
2.645 * [backup-simplify]: Simplify 1/2 into 1/2
2.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.645 * [taylor]: Taking taylor expansion of k in n
2.645 * [backup-simplify]: Simplify k into k
2.645 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.645 * [taylor]: Taking taylor expansion of 1/2 in n
2.645 * [backup-simplify]: Simplify 1/2 into 1/2
2.645 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.645 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.645 * [taylor]: Taking taylor expansion of -2 in n
2.645 * [backup-simplify]: Simplify -2 into -2
2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.645 * [taylor]: Taking taylor expansion of PI in n
2.645 * [backup-simplify]: Simplify PI into PI
2.645 * [taylor]: Taking taylor expansion of n in n
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.645 * [backup-simplify]: Simplify (/ PI 1) into PI
2.646 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.646 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.646 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.647 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.648 * [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)))
2.649 * [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))))
2.649 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.649 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.649 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.649 * [taylor]: Taking taylor expansion of 1/2 in n
2.649 * [backup-simplify]: Simplify 1/2 into 1/2
2.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.649 * [taylor]: Taking taylor expansion of k in n
2.649 * [backup-simplify]: Simplify k into k
2.649 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.649 * [taylor]: Taking taylor expansion of 1/2 in n
2.649 * [backup-simplify]: Simplify 1/2 into 1/2
2.649 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.649 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.649 * [taylor]: Taking taylor expansion of -2 in n
2.649 * [backup-simplify]: Simplify -2 into -2
2.649 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.649 * [taylor]: Taking taylor expansion of PI in n
2.649 * [backup-simplify]: Simplify PI into PI
2.649 * [taylor]: Taking taylor expansion of n in n
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.650 * [backup-simplify]: Simplify (/ PI 1) into PI
2.650 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.651 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.651 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.652 * [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)))
2.655 * [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))))
2.656 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.656 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.656 * [taylor]: Taking taylor expansion of 1/2 in k
2.656 * [backup-simplify]: Simplify 1/2 into 1/2
2.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.656 * [taylor]: Taking taylor expansion of k in k
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.656 * [backup-simplify]: Simplify (/ 1 1) into 1
2.656 * [taylor]: Taking taylor expansion of 1/2 in k
2.656 * [backup-simplify]: Simplify 1/2 into 1/2
2.656 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.656 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.656 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.656 * [taylor]: Taking taylor expansion of -2 in k
2.656 * [backup-simplify]: Simplify -2 into -2
2.656 * [taylor]: Taking taylor expansion of PI in k
2.656 * [backup-simplify]: Simplify PI into PI
2.656 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.657 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.657 * [taylor]: Taking taylor expansion of (log n) in k
2.657 * [taylor]: Taking taylor expansion of n in k
2.657 * [backup-simplify]: Simplify n into n
2.657 * [backup-simplify]: Simplify (log n) into (log n)
2.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.658 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.659 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.660 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.661 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.662 * [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))))
2.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.667 * [backup-simplify]: Simplify (+ 0 0) into 0
2.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.670 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.672 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.672 * [taylor]: Taking taylor expansion of 0 in k
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.678 * [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
2.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.683 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.686 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.686 * [taylor]: Taking taylor expansion of 0 in k
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.695 * [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
2.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.701 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.704 * [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
2.704 * [taylor]: Taking taylor expansion of 0 in k
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.705 * [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)))))
2.705 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.705 * [backup-simplify]: Simplify (* PI (* n 2)) into (* 2 (* n PI))
2.705 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.705 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.705 * [taylor]: Taking taylor expansion of 2 in n
2.705 * [backup-simplify]: Simplify 2 into 2
2.705 * [taylor]: Taking taylor expansion of (* n PI) in n
2.705 * [taylor]: Taking taylor expansion of n in n
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of PI in n
2.706 * [backup-simplify]: Simplify PI into PI
2.706 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.706 * [taylor]: Taking taylor expansion of 2 in n
2.706 * [backup-simplify]: Simplify 2 into 2
2.706 * [taylor]: Taking taylor expansion of (* n PI) in n
2.706 * [taylor]: Taking taylor expansion of n in n
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of PI in n
2.706 * [backup-simplify]: Simplify PI into PI
2.706 * [backup-simplify]: Simplify (* 0 PI) into 0
2.707 * [backup-simplify]: Simplify (* 2 0) into 0
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.710 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.711 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.715 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.724 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.726 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
2.726 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.726 * [taylor]: Taking taylor expansion of 2 in n
2.726 * [backup-simplify]: Simplify 2 into 2
2.726 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.726 * [taylor]: Taking taylor expansion of PI in n
2.726 * [backup-simplify]: Simplify PI into PI
2.726 * [taylor]: Taking taylor expansion of n in n
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (/ PI 1) into PI
2.727 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.727 * [taylor]: Taking taylor expansion of 2 in n
2.727 * [backup-simplify]: Simplify 2 into 2
2.727 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.727 * [taylor]: Taking taylor expansion of PI in n
2.727 * [backup-simplify]: Simplify PI into PI
2.727 * [taylor]: Taking taylor expansion of n in n
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (/ PI 1) into PI
2.728 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.728 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.729 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.730 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [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
2.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.737 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
2.737 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.737 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.737 * [taylor]: Taking taylor expansion of -2 in n
2.737 * [backup-simplify]: Simplify -2 into -2
2.737 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.737 * [taylor]: Taking taylor expansion of PI in n
2.737 * [backup-simplify]: Simplify PI into PI
2.737 * [taylor]: Taking taylor expansion of n in n
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.737 * [backup-simplify]: Simplify (/ PI 1) into PI
2.737 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.737 * [taylor]: Taking taylor expansion of -2 in n
2.737 * [backup-simplify]: Simplify -2 into -2
2.737 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.737 * [taylor]: Taking taylor expansion of PI in n
2.737 * [backup-simplify]: Simplify PI into PI
2.737 * [taylor]: Taking taylor expansion of n in n
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ PI 1) into PI
2.738 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.738 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.739 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.742 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.742 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.743 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.743 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [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
2.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.747 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.747 * [backup-simplify]: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.747 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.747 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.747 * [taylor]: Taking taylor expansion of k in k
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (/ 1 1) into 1
2.748 * [backup-simplify]: Simplify (sqrt 0) into 0
2.749 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.749 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.749 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.749 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.749 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.749 * [taylor]: Taking taylor expansion of 1/2 in k
2.749 * [backup-simplify]: Simplify 1/2 into 1/2
2.749 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.749 * [taylor]: Taking taylor expansion of 1/2 in k
2.749 * [backup-simplify]: Simplify 1/2 into 1/2
2.749 * [taylor]: Taking taylor expansion of k in k
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.749 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.749 * [taylor]: Taking taylor expansion of 2 in k
2.749 * [backup-simplify]: Simplify 2 into 2
2.749 * [taylor]: Taking taylor expansion of (* n PI) in k
2.749 * [taylor]: Taking taylor expansion of n in k
2.749 * [backup-simplify]: Simplify n into n
2.749 * [taylor]: Taking taylor expansion of PI in k
2.749 * [backup-simplify]: Simplify PI into PI
2.749 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.749 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.749 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.749 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.750 * [backup-simplify]: Simplify (- 0) into 0
2.750 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.750 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.750 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.750 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.750 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.750 * [taylor]: Taking taylor expansion of k in n
2.750 * [backup-simplify]: Simplify k into k
2.750 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.750 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.751 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.751 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.751 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.751 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.751 * [taylor]: Taking taylor expansion of 1/2 in n
2.751 * [backup-simplify]: Simplify 1/2 into 1/2
2.751 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.751 * [taylor]: Taking taylor expansion of 1/2 in n
2.751 * [backup-simplify]: Simplify 1/2 into 1/2
2.751 * [taylor]: Taking taylor expansion of k in n
2.751 * [backup-simplify]: Simplify k into k
2.751 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.751 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.751 * [taylor]: Taking taylor expansion of 2 in n
2.751 * [backup-simplify]: Simplify 2 into 2
2.751 * [taylor]: Taking taylor expansion of (* n PI) in n
2.751 * [taylor]: Taking taylor expansion of n in n
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [taylor]: Taking taylor expansion of PI in n
2.751 * [backup-simplify]: Simplify PI into PI
2.752 * [backup-simplify]: Simplify (* 0 PI) into 0
2.752 * [backup-simplify]: Simplify (* 2 0) into 0
2.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.755 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.757 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.757 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.757 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.757 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.758 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.760 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.761 * [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)))))
2.761 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.761 * [taylor]: Taking taylor expansion of k in n
2.761 * [backup-simplify]: Simplify k into k
2.761 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.761 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.761 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.761 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.761 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.761 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.761 * [taylor]: Taking taylor expansion of 1/2 in n
2.761 * [backup-simplify]: Simplify 1/2 into 1/2
2.761 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.761 * [taylor]: Taking taylor expansion of 1/2 in n
2.761 * [backup-simplify]: Simplify 1/2 into 1/2
2.762 * [taylor]: Taking taylor expansion of k in n
2.762 * [backup-simplify]: Simplify k into k
2.762 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.762 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.762 * [taylor]: Taking taylor expansion of 2 in n
2.762 * [backup-simplify]: Simplify 2 into 2
2.762 * [taylor]: Taking taylor expansion of (* n PI) in n
2.762 * [taylor]: Taking taylor expansion of n in n
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 1 into 1
2.762 * [taylor]: Taking taylor expansion of PI in n
2.762 * [backup-simplify]: Simplify PI into PI
2.762 * [backup-simplify]: Simplify (* 0 PI) into 0
2.763 * [backup-simplify]: Simplify (* 2 0) into 0
2.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.766 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.767 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.767 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.767 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.767 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.769 * [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)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.771 * [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)))))
2.772 * [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)))
2.773 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.773 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.773 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.773 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.773 * [taylor]: Taking taylor expansion of 1/2 in k
2.773 * [backup-simplify]: Simplify 1/2 into 1/2
2.773 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.773 * [taylor]: Taking taylor expansion of 1/2 in k
2.773 * [backup-simplify]: Simplify 1/2 into 1/2
2.773 * [taylor]: Taking taylor expansion of k in k
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify 1 into 1
2.773 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.773 * [taylor]: Taking taylor expansion of (log n) in k
2.773 * [taylor]: Taking taylor expansion of n in k
2.773 * [backup-simplify]: Simplify n into n
2.773 * [backup-simplify]: Simplify (log n) into (log n)
2.773 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.773 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.773 * [taylor]: Taking taylor expansion of 2 in k
2.773 * [backup-simplify]: Simplify 2 into 2
2.773 * [taylor]: Taking taylor expansion of PI in k
2.773 * [backup-simplify]: Simplify PI into PI
2.774 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.775 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.776 * [backup-simplify]: Simplify (- 0) into 0
2.776 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.777 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.778 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.779 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.779 * [taylor]: Taking taylor expansion of k in k
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 1 into 1
2.780 * [backup-simplify]: Simplify (/ 1 1) into 1
2.780 * [backup-simplify]: Simplify (sqrt 0) into 0
2.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.786 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.792 * [backup-simplify]: Simplify (- 0) into 0
2.792 * [backup-simplify]: Simplify (+ 0 0) into 0
2.794 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.795 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.797 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.799 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.799 * [taylor]: Taking taylor expansion of 0 in k
2.799 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.803 * [backup-simplify]: Simplify (+ 0 0) into 0
2.804 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.804 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.804 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.808 * [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)))))))
2.811 * [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)))))))
2.811 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.813 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.815 * [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
2.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.815 * [backup-simplify]: Simplify (- 0) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.817 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.819 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.820 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.820 * [taylor]: Taking taylor expansion of 0 in k
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.826 * [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
2.826 * [backup-simplify]: Simplify (+ 0 0) into 0
2.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.827 * [backup-simplify]: Simplify (- 0) into 0
2.827 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.831 * [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)))))
2.838 * [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))))))))
2.842 * [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))))))))
2.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.852 * [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
2.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.854 * [backup-simplify]: Simplify (- 0) into 0
2.854 * [backup-simplify]: Simplify (+ 0 0) into 0
2.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.858 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.860 * [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
2.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.863 * [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
2.863 * [taylor]: Taking taylor expansion of 0 in k
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.870 * [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
2.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.876 * [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
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.878 * [backup-simplify]: Simplify (- 0) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.886 * [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)))))))
2.904 * [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))))))))))))))
2.915 * [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))))))))))))))
2.932 * [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))))))))))))))))))))))
2.932 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.932 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.932 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.932 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.932 * [taylor]: Taking taylor expansion of k in k
2.932 * [backup-simplify]: Simplify 0 into 0
2.932 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify (sqrt 0) into 0
2.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.934 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.934 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.934 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.934 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.934 * [taylor]: Taking taylor expansion of 1/2 in k
2.934 * [backup-simplify]: Simplify 1/2 into 1/2
2.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.934 * [taylor]: Taking taylor expansion of 1/2 in k
2.934 * [backup-simplify]: Simplify 1/2 into 1/2
2.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.934 * [taylor]: Taking taylor expansion of k in k
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 1 into 1
2.935 * [backup-simplify]: Simplify (/ 1 1) into 1
2.935 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.935 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.935 * [taylor]: Taking taylor expansion of 2 in k
2.935 * [backup-simplify]: Simplify 2 into 2
2.935 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.935 * [taylor]: Taking taylor expansion of PI in k
2.935 * [backup-simplify]: Simplify PI into PI
2.935 * [taylor]: Taking taylor expansion of n in k
2.935 * [backup-simplify]: Simplify n into n
2.935 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.935 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.935 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.935 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.935 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.936 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.936 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.936 * [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))))
2.936 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.936 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.936 * [taylor]: Taking taylor expansion of k in n
2.936 * [backup-simplify]: Simplify k into k
2.936 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.936 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.936 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.936 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.936 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.936 * [taylor]: Taking taylor expansion of 1/2 in n
2.936 * [backup-simplify]: Simplify 1/2 into 1/2
2.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.936 * [taylor]: Taking taylor expansion of 1/2 in n
2.936 * [backup-simplify]: Simplify 1/2 into 1/2
2.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.936 * [taylor]: Taking taylor expansion of k in n
2.936 * [backup-simplify]: Simplify k into k
2.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.936 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.936 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.936 * [taylor]: Taking taylor expansion of 2 in n
2.936 * [backup-simplify]: Simplify 2 into 2
2.936 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.936 * [taylor]: Taking taylor expansion of PI in n
2.936 * [backup-simplify]: Simplify PI into PI
2.936 * [taylor]: Taking taylor expansion of n in n
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.937 * [backup-simplify]: Simplify (/ PI 1) into PI
2.937 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.938 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.938 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.938 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.939 * [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)))
2.940 * [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))))
2.940 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.940 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.940 * [taylor]: Taking taylor expansion of k in n
2.940 * [backup-simplify]: Simplify k into k
2.940 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.940 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.940 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.940 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.940 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.940 * [taylor]: Taking taylor expansion of 1/2 in n
2.940 * [backup-simplify]: Simplify 1/2 into 1/2
2.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.940 * [taylor]: Taking taylor expansion of 1/2 in n
2.940 * [backup-simplify]: Simplify 1/2 into 1/2
2.940 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.940 * [taylor]: Taking taylor expansion of k in n
2.941 * [backup-simplify]: Simplify k into k
2.941 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.941 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.941 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.941 * [taylor]: Taking taylor expansion of 2 in n
2.941 * [backup-simplify]: Simplify 2 into 2
2.941 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.941 * [taylor]: Taking taylor expansion of PI in n
2.941 * [backup-simplify]: Simplify PI into PI
2.941 * [taylor]: Taking taylor expansion of n in n
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 1 into 1
2.941 * [backup-simplify]: Simplify (/ PI 1) into PI
2.941 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.942 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.942 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.942 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.942 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.944 * [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)))
2.945 * [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))))
2.945 * [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))
2.946 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.946 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.946 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.946 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.946 * [taylor]: Taking taylor expansion of 1/2 in k
2.946 * [backup-simplify]: Simplify 1/2 into 1/2
2.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.946 * [taylor]: Taking taylor expansion of 1/2 in k
2.946 * [backup-simplify]: Simplify 1/2 into 1/2
2.946 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.946 * [taylor]: Taking taylor expansion of k in k
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [backup-simplify]: Simplify (/ 1 1) into 1
2.946 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.946 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.946 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.946 * [taylor]: Taking taylor expansion of 2 in k
2.946 * [backup-simplify]: Simplify 2 into 2
2.946 * [taylor]: Taking taylor expansion of PI in k
2.946 * [backup-simplify]: Simplify PI into PI
2.946 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.947 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.947 * [taylor]: Taking taylor expansion of (log n) in k
2.947 * [taylor]: Taking taylor expansion of n in k
2.947 * [backup-simplify]: Simplify n into n
2.947 * [backup-simplify]: Simplify (log n) into (log n)
2.948 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.948 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.948 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.948 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.949 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.950 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.950 * [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))))
2.950 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.950 * [taylor]: Taking taylor expansion of k in k
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.951 * [backup-simplify]: Simplify (sqrt 0) into 0
2.951 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.952 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.952 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.955 * [backup-simplify]: Simplify (- 0) into 0
2.955 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.957 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.958 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.959 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.959 * [taylor]: Taking taylor expansion of 0 in k
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.960 * [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))))))
2.961 * [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))))))
2.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.965 * [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
2.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.966 * [backup-simplify]: Simplify (- 0) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.968 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.969 * [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
2.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.971 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.971 * [taylor]: Taking taylor expansion of 0 in k
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.974 * [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))))))
2.974 * [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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.979 * [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
2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.980 * [backup-simplify]: Simplify (- 0) into 0
2.981 * [backup-simplify]: Simplify (+ 0 0) into 0
2.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.983 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.984 * [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
2.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.986 * [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
2.986 * [taylor]: Taking taylor expansion of 0 in k
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.990 * [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))))))
2.990 * [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))))))
2.993 * [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))))))))
2.993 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.993 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.993 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.993 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.993 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.993 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.994 * [taylor]: Taking taylor expansion of 1/2 in k
2.994 * [backup-simplify]: Simplify 1/2 into 1/2
2.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.994 * [taylor]: Taking taylor expansion of k in k
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [backup-simplify]: Simplify (/ 1 1) into 1
2.994 * [taylor]: Taking taylor expansion of 1/2 in k
2.994 * [backup-simplify]: Simplify 1/2 into 1/2
2.994 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.994 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.994 * [taylor]: Taking taylor expansion of -2 in k
2.994 * [backup-simplify]: Simplify -2 into -2
2.994 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.994 * [taylor]: Taking taylor expansion of PI in k
2.994 * [backup-simplify]: Simplify PI into PI
2.994 * [taylor]: Taking taylor expansion of n in k
2.994 * [backup-simplify]: Simplify n into n
2.994 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.994 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.994 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.994 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.995 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.995 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.995 * [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)))
2.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.995 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.995 * [taylor]: Taking taylor expansion of -1 in k
2.995 * [backup-simplify]: Simplify -1 into -1
2.995 * [taylor]: Taking taylor expansion of k in k
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify (/ -1 1) into -1
2.995 * [backup-simplify]: Simplify (sqrt 0) into 0
2.998 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.998 * [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))))
2.999 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.999 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.999 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.999 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.999 * [taylor]: Taking taylor expansion of 1/2 in n
2.999 * [backup-simplify]: Simplify 1/2 into 1/2
2.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.999 * [taylor]: Taking taylor expansion of k in n
2.999 * [backup-simplify]: Simplify k into k
2.999 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.999 * [taylor]: Taking taylor expansion of 1/2 in n
2.999 * [backup-simplify]: Simplify 1/2 into 1/2
2.999 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.999 * [taylor]: Taking taylor expansion of -2 in n
2.999 * [backup-simplify]: Simplify -2 into -2
2.999 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.999 * [taylor]: Taking taylor expansion of PI in n
2.999 * [backup-simplify]: Simplify PI into PI
2.999 * [taylor]: Taking taylor expansion of n in n
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [backup-simplify]: Simplify (/ PI 1) into PI
3.000 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.000 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.000 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.002 * [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)))
3.003 * [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))))
3.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.003 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.003 * [taylor]: Taking taylor expansion of -1 in n
3.003 * [backup-simplify]: Simplify -1 into -1
3.003 * [taylor]: Taking taylor expansion of k in n
3.003 * [backup-simplify]: Simplify k into k
3.003 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.003 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.003 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.004 * [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)))
3.004 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
3.004 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.004 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.004 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.004 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.004 * [taylor]: Taking taylor expansion of 1/2 in n
3.004 * [backup-simplify]: Simplify 1/2 into 1/2
3.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.004 * [taylor]: Taking taylor expansion of k in n
3.004 * [backup-simplify]: Simplify k into k
3.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.004 * [taylor]: Taking taylor expansion of 1/2 in n
3.004 * [backup-simplify]: Simplify 1/2 into 1/2
3.004 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.004 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.004 * [taylor]: Taking taylor expansion of -2 in n
3.004 * [backup-simplify]: Simplify -2 into -2
3.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.004 * [taylor]: Taking taylor expansion of PI in n
3.004 * [backup-simplify]: Simplify PI into PI
3.004 * [taylor]: Taking taylor expansion of n in n
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 1 into 1
3.005 * [backup-simplify]: Simplify (/ PI 1) into PI
3.005 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.005 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.005 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.006 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.007 * [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)))
3.008 * [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))))
3.008 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.008 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.008 * [taylor]: Taking taylor expansion of -1 in n
3.008 * [backup-simplify]: Simplify -1 into -1
3.008 * [taylor]: Taking taylor expansion of k in n
3.008 * [backup-simplify]: Simplify k into k
3.008 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.008 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.008 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.009 * [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)))
3.009 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
3.009 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.009 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.009 * [taylor]: Taking taylor expansion of 1/2 in k
3.009 * [backup-simplify]: Simplify 1/2 into 1/2
3.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.009 * [taylor]: Taking taylor expansion of k in k
3.009 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify 1 into 1
3.009 * [backup-simplify]: Simplify (/ 1 1) into 1
3.009 * [taylor]: Taking taylor expansion of 1/2 in k
3.009 * [backup-simplify]: Simplify 1/2 into 1/2
3.009 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.010 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.010 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.010 * [taylor]: Taking taylor expansion of -2 in k
3.010 * [backup-simplify]: Simplify -2 into -2
3.010 * [taylor]: Taking taylor expansion of PI in k
3.010 * [backup-simplify]: Simplify PI into PI
3.010 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.011 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.011 * [taylor]: Taking taylor expansion of (log n) in k
3.011 * [taylor]: Taking taylor expansion of n in k
3.011 * [backup-simplify]: Simplify n into n
3.011 * [backup-simplify]: Simplify (log n) into (log n)
3.011 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.011 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.011 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.012 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.013 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.013 * [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))))
3.013 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.013 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.013 * [taylor]: Taking taylor expansion of -1 in k
3.013 * [backup-simplify]: Simplify -1 into -1
3.013 * [taylor]: Taking taylor expansion of k in k
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 1 into 1
3.014 * [backup-simplify]: Simplify (/ -1 1) into -1
3.014 * [backup-simplify]: Simplify (sqrt 0) into 0
3.015 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.015 * [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)))))
3.016 * [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)))))
3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.021 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.022 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.023 * [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
3.023 * [taylor]: Taking taylor expansion of 0 in k
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.025 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.026 * [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))))))
3.027 * [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))))))
3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.029 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.036 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.039 * [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
3.039 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.040 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
3.041 * [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
3.041 * [taylor]: Taking taylor expansion of 0 in k
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.050 * [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))))))
3.051 * [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))))))
3.055 * [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)))))))))))
3.056 * * * [progress]: simplifying candidates
3.056 * * * * [progress]: [ 1 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.056 * * * * [progress]: [ 2 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.056 * * * * [progress]: [ 3 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log PI) (+ (log n) (log 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 4 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 5 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 6 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 7 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 8 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 9 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 10 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
3.056 * * * * [progress]: [ 11 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 12 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.056 * * * * [progress]: [ 13 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.056 * * * * [progress]: [ 14 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
3.057 * * * * [progress]: [ 15 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
3.057 * * * * [progress]: [ 16 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.057 * * * * [progress]: [ 17 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
3.057 * * * * [progress]: [ 18 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
3.057 * * * * [progress]: [ 19 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.057 * * * * [progress]: [ 20 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
3.057 * * * * [progress]: [ 21 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
3.057 * * * * [progress]: [ 22 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.057 * * * * [progress]: [ 23 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
3.057 * * * * [progress]: [ 24 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
3.057 * * * * [progress]: [ 25 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.057 * * * * [progress]: [ 26 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
3.058 * * * * [progress]: [ 27 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
3.058 * * * * [progress]: [ 28 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
3.058 * * * * [progress]: [ 29 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
3.058 * * * * [progress]: [ 30 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
3.058 * * * * [progress]: [ 31 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
3.058 * * * * [progress]: [ 32 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.058 * * * * [progress]: [ 33 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
3.058 * * * * [progress]: [ 34 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
3.059 * * * * [progress]: [ 35 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.059 * * * * [progress]: [ 36 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
3.059 * * * * [progress]: [ 37 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
3.059 * * * * [progress]: [ 38 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.059 * * * * [progress]: [ 39 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
3.059 * * * * [progress]: [ 40 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
3.059 * * * * [progress]: [ 41 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
3.059 * * * * [progress]: [ 42 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
3.059 * * * * [progress]: [ 43 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
3.060 * * * * [progress]: [ 44 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
3.060 * * * * [progress]: [ 45 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.060 * * * * [progress]: [ 46 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
3.060 * * * * [progress]: [ 47 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
3.060 * * * * [progress]: [ 48 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.060 * * * * [progress]: [ 49 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
3.060 * * * * [progress]: [ 50 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
3.060 * * * * [progress]: [ 51 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
3.060 * * * * [progress]: [ 52 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
3.060 * * * * [progress]: [ 53 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
3.060 * * * * [progress]: [ 54 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
3.060 * * * * [progress]: [ 55 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
3.060 * * * * [progress]: [ 56 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 57 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 58 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 59 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.061 * * * * [progress]: [ 60 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 61 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 62 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 63 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 64 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 65 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 66 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
3.061 * * * * [progress]: [ 67 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
3.061 * * * * [progress]: [ 68 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.061 * * * * [progress]: [ 69 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.061 * * * * [progress]: [ 70 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 71 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 72 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 73 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log PI) (+ (log n) (log 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 74 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log PI) (log (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 75 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 76 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 77 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 78 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 79 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 80 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 81 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 82 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 83 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 84 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 85 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt PI) (* (sqrt PI) (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 86 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 87 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 88 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.063 * * * * [progress]: [ 89 / 445 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.063 * * * * [progress]: [ 90 / 445 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.063 * * * * [progress]: [ 91 / 445 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
3.063 * * * * [progress]: [ 92 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log PI) (+ (log n) (log 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.063 * * * * [progress]: [ 93 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.063 * * * * [progress]: [ 94 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.063 * * * * [progress]: [ 95 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.063 * * * * [progress]: [ 96 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
3.064 * * * * [progress]: [ 97 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.064 * * * * [progress]: [ 98 / 445 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.064 * * * * [progress]: [ 99 / 445 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
3.064 * * * * [progress]: [ 100 / 445 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.064 * * * * [progress]: [ 101 / 445 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.064 * * * * [progress]: [ 102 / 445 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.064 * * * * [progress]: [ 103 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
3.064 * * * * [progress]: [ 104 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
3.064 * * * * [progress]: [ 105 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
3.064 * * * * [progress]: [ 106 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.064 * * * * [progress]: [ 107 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.064 * * * * [progress]: [ 108 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.064 * * * * [progress]: [ 109 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.065 * * * * [progress]: [ 110 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
3.065 * * * * [progress]: [ 111 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
3.065 * * * * [progress]: [ 112 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.065 * * * * [progress]: [ 113 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.065 * * * * [progress]: [ 114 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.065 * * * * [progress]: [ 115 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.065 * * * * [progress]: [ 116 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.065 * * * * [progress]: [ 117 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.065 * * * * [progress]: [ 118 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.065 * * * * [progress]: [ 119 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.065 * * * * [progress]: [ 120 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.065 * * * * [progress]: [ 121 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.066 * * * * [progress]: [ 122 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
3.066 * * * * [progress]: [ 123 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
3.066 * * * * [progress]: [ 124 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.066 * * * * [progress]: [ 125 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.066 * * * * [progress]: [ 126 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.066 * * * * [progress]: [ 127 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.066 * * * * [progress]: [ 128 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
3.066 * * * * [progress]: [ 129 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
3.066 * * * * [progress]: [ 130 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.066 * * * * [progress]: [ 131 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.066 * * * * [progress]: [ 132 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.066 * * * * [progress]: [ 133 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.067 * * * * [progress]: [ 134 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.067 * * * * [progress]: [ 135 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.067 * * * * [progress]: [ 136 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.067 * * * * [progress]: [ 137 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.067 * * * * [progress]: [ 138 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.067 * * * * [progress]: [ 139 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.067 * * * * [progress]: [ 140 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
3.067 * * * * [progress]: [ 141 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
3.067 * * * * [progress]: [ 142 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.067 * * * * [progress]: [ 143 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.067 * * * * [progress]: [ 144 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.068 * * * * [progress]: [ 145 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.068 * * * * [progress]: [ 146 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
3.068 * * * * [progress]: [ 147 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
3.068 * * * * [progress]: [ 148 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.068 * * * * [progress]: [ 149 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.068 * * * * [progress]: [ 150 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.068 * * * * [progress]: [ 151 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.068 * * * * [progress]: [ 152 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.068 * * * * [progress]: [ 153 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.068 * * * * [progress]: [ 154 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.068 * * * * [progress]: [ 155 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.068 * * * * [progress]: [ 156 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.069 * * * * [progress]: [ 157 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.069 * * * * [progress]: [ 158 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
3.069 * * * * [progress]: [ 159 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
3.069 * * * * [progress]: [ 160 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.069 * * * * [progress]: [ 161 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.069 * * * * [progress]: [ 162 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.069 * * * * [progress]: [ 163 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.069 * * * * [progress]: [ 164 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
3.069 * * * * [progress]: [ 165 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
3.069 * * * * [progress]: [ 166 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.069 * * * * [progress]: [ 167 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.069 * * * * [progress]: [ 168 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.070 * * * * [progress]: [ 169 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.070 * * * * [progress]: [ 170 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
3.070 * * * * [progress]: [ 171 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
3.070 * * * * [progress]: [ 172 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.070 * * * * [progress]: [ 173 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.070 * * * * [progress]: [ 174 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.070 * * * * [progress]: [ 175 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.070 * * * * [progress]: [ 176 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
3.070 * * * * [progress]: [ 177 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
3.070 * * * * [progress]: [ 178 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.070 * * * * [progress]: [ 179 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.070 * * * * [progress]: [ 180 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.070 * * * * [progress]: [ 181 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.070 * * * * [progress]: [ 182 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
3.070 * * * * [progress]: [ 183 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
3.070 * * * * [progress]: [ 184 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 185 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.071 * * * * [progress]: [ 186 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 187 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.071 * * * * [progress]: [ 188 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
3.071 * * * * [progress]: [ 189 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
3.071 * * * * [progress]: [ 190 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 191 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.071 * * * * [progress]: [ 192 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 193 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.071 * * * * [progress]: [ 194 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.071 * * * * [progress]: [ 195 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.071 * * * * [progress]: [ 196 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 197 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.071 * * * * [progress]: [ 198 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 199 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.071 * * * * [progress]: [ 200 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
3.071 * * * * [progress]: [ 201 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
3.071 * * * * [progress]: [ 202 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.071 * * * * [progress]: [ 203 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.071 * * * * [progress]: [ 204 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 205 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.072 * * * * [progress]: [ 206 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
3.072 * * * * [progress]: [ 207 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
3.072 * * * * [progress]: [ 208 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 209 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.072 * * * * [progress]: [ 210 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 211 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.072 * * * * [progress]: [ 212 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.072 * * * * [progress]: [ 213 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.072 * * * * [progress]: [ 214 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 215 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.072 * * * * [progress]: [ 216 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 217 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.072 * * * * [progress]: [ 218 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
3.072 * * * * [progress]: [ 219 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
3.072 * * * * [progress]: [ 220 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 221 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.072 * * * * [progress]: [ 222 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.072 * * * * [progress]: [ 223 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.072 * * * * [progress]: [ 224 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
3.073 * * * * [progress]: [ 225 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
3.073 * * * * [progress]: [ 226 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 227 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.073 * * * * [progress]: [ 228 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 229 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.073 * * * * [progress]: [ 230 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.073 * * * * [progress]: [ 231 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.073 * * * * [progress]: [ 232 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 233 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.073 * * * * [progress]: [ 234 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 235 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.073 * * * * [progress]: [ 236 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
3.073 * * * * [progress]: [ 237 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
3.073 * * * * [progress]: [ 238 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 239 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.073 * * * * [progress]: [ 240 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.073 * * * * [progress]: [ 241 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.073 * * * * [progress]: [ 242 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
3.073 * * * * [progress]: [ 243 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
3.073 * * * * [progress]: [ 244 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 245 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.074 * * * * [progress]: [ 246 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 247 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.074 * * * * [progress]: [ 248 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
3.074 * * * * [progress]: [ 249 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
3.074 * * * * [progress]: [ 250 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 251 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.074 * * * * [progress]: [ 252 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 253 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.074 * * * * [progress]: [ 254 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
3.074 * * * * [progress]: [ 255 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
3.074 * * * * [progress]: [ 256 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 257 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.074 * * * * [progress]: [ 258 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 259 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.074 * * * * [progress]: [ 260 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
3.074 * * * * [progress]: [ 261 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
3.074 * * * * [progress]: [ 262 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 263 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.074 * * * * [progress]: [ 264 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
3.074 * * * * [progress]: [ 265 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
3.075 * * * * [progress]: [ 266 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
3.075 * * * * [progress]: [ 267 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
3.075 * * * * [progress]: [ 268 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 269 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.075 * * * * [progress]: [ 270 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 271 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
3.075 * * * * [progress]: [ 272 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.075 * * * * [progress]: [ 273 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.075 * * * * [progress]: [ 274 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 275 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.075 * * * * [progress]: [ 276 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 277 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.075 * * * * [progress]: [ 278 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
3.075 * * * * [progress]: [ 279 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
3.075 * * * * [progress]: [ 280 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 281 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.075 * * * * [progress]: [ 282 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
3.075 * * * * [progress]: [ 283 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
3.075 * * * * [progress]: [ 284 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
3.075 * * * * [progress]: [ 285 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
3.076 * * * * [progress]: [ 286 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 287 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.076 * * * * [progress]: [ 288 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 289 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
3.076 * * * * [progress]: [ 290 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.076 * * * * [progress]: [ 291 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.076 * * * * [progress]: [ 292 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 293 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.076 * * * * [progress]: [ 294 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 295 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.076 * * * * [progress]: [ 296 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
3.076 * * * * [progress]: [ 297 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
3.076 * * * * [progress]: [ 298 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 299 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.076 * * * * [progress]: [ 300 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 301 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
3.076 * * * * [progress]: [ 302 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
3.076 * * * * [progress]: [ 303 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
3.076 * * * * [progress]: [ 304 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.076 * * * * [progress]: [ 305 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.077 * * * * [progress]: [ 306 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 307 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
3.077 * * * * [progress]: [ 308 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
3.077 * * * * [progress]: [ 309 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
3.077 * * * * [progress]: [ 310 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 311 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.077 * * * * [progress]: [ 312 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 313 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
3.077 * * * * [progress]: [ 314 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
3.077 * * * * [progress]: [ 315 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
3.077 * * * * [progress]: [ 316 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 317 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.077 * * * * [progress]: [ 318 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 319 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
3.077 * * * * [progress]: [ 320 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
3.077 * * * * [progress]: [ 321 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
3.077 * * * * [progress]: [ 322 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 323 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.077 * * * * [progress]: [ 324 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
3.077 * * * * [progress]: [ 325 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
3.078 * * * * [progress]: [ 326 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
3.078 * * * * [progress]: [ 327 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
3.078 * * * * [progress]: [ 328 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 329 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.078 * * * * [progress]: [ 330 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 331 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
3.078 * * * * [progress]: [ 332 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
3.078 * * * * [progress]: [ 333 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
3.078 * * * * [progress]: [ 334 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 335 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.078 * * * * [progress]: [ 336 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 337 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1) (/ (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
3.078 * * * * [progress]: [ 338 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
3.078 * * * * [progress]: [ 339 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt k)))))>
3.078 * * * * [progress]: [ 340 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 341 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
3.078 * * * * [progress]: [ 342 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.078 * * * * [progress]: [ 343 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
3.079 * * * * [progress]: [ 344 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
3.079 * * * * [progress]: [ 345 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt k)))))>
3.079 * * * * [progress]: [ 346 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 347 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
3.079 * * * * [progress]: [ 348 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 349 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
3.079 * * * * [progress]: [ 350 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.079 * * * * [progress]: [ 351 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.079 * * * * [progress]: [ 352 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 353 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
3.079 * * * * [progress]: [ 354 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 355 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
3.079 * * * * [progress]: [ 356 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.079 * * * * [progress]: [ 357 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.079 * * * * [progress]: [ 358 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 359 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.079 * * * * [progress]: [ 360 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 361 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.079 * * * * [progress]: [ 362 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.079 * * * * [progress]: [ 363 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.079 * * * * [progress]: [ 364 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 365 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.079 * * * * [progress]: [ 366 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.079 * * * * [progress]: [ 367 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
3.080 * * * * [progress]: [ 368 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.080 * * * * [progress]: [ 369 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.080 * * * * [progress]: [ 370 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.080 * * * * [progress]: [ 371 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
3.080 * * * * [progress]: [ 372 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.080 * * * * [progress]: [ 373 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
3.080 * * * * [progress]: [ 374 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
3.080 * * * * [progress]: [ 375 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
3.080 * * * * [progress]: [ 376 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.080 * * * * [progress]: [ 377 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.080 * * * * [progress]: [ 378 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.080 * * * * [progress]: [ 379 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.080 * * * * [progress]: [ 380 / 445 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
3.080 * * * * [progress]: [ 381 / 445 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
3.080 * * * * [progress]: [ 382 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
3.080 * * * * [progress]: [ 383 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
3.080 * * * * [progress]: [ 384 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
3.080 * * * * [progress]: [ 385 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.080 * * * * [progress]: [ 386 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
3.080 * * * * [progress]: [ 387 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.080 * * * * [progress]: [ 388 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.080 * * * * [progress]: [ 389 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
3.080 * * * * [progress]: [ 390 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
3.080 * * * * [progress]: [ 391 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
3.080 * * * * [progress]: [ 392 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
3.081 * * * * [progress]: [ 393 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
3.081 * * * * [progress]: [ 394 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
3.081 * * * * [progress]: [ 395 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
3.081 * * * * [progress]: [ 396 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
3.081 * * * * [progress]: [ 397 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
3.081 * * * * [progress]: [ 398 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
3.081 * * * * [progress]: [ 399 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
3.081 * * * * [progress]: [ 400 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
3.081 * * * * [progress]: [ 401 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
3.081 * * * * [progress]: [ 402 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
3.081 * * * * [progress]: [ 403 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
3.081 * * * * [progress]: [ 404 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
3.081 * * * * [progress]: [ 405 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
3.081 * * * * [progress]: [ 406 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
3.081 * * * * [progress]: [ 407 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
3.081 * * * * [progress]: [ 408 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
3.081 * * * * [progress]: [ 409 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
3.081 * * * * [progress]: [ 410 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
3.081 * * * * [progress]: [ 411 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
3.081 * * * * [progress]: [ 412 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
3.082 * * * * [progress]: [ 413 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
3.082 * * * * [progress]: [ 414 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
3.082 * * * * [progress]: [ 415 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
3.082 * * * * [progress]: [ 416 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
3.082 * * * * [progress]: [ 417 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
3.082 * * * * [progress]: [ 418 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
3.082 * * * * [progress]: [ 419 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
3.082 * * * * [progress]: [ 420 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
3.082 * * * * [progress]: [ 421 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
3.082 * * * * [progress]: [ 422 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
3.082 * * * * [progress]: [ 423 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
3.082 * * * * [progress]: [ 424 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
3.082 * * * * [progress]: [ 425 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
3.082 * * * * [progress]: [ 426 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
3.082 * * * * [progress]: [ 427 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
3.082 * * * * [progress]: [ 428 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
3.082 * * * * [progress]: [ 429 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
3.082 * * * * [progress]: [ 430 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
3.082 * * * * [progress]: [ 431 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
3.082 * * * * [progress]: [ 432 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
3.082 * * * * [progress]: [ 433 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
3.082 * * * * [progress]: [ 434 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)))))>
3.083 * * * * [progress]: [ 435 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
3.083 * * * * [progress]: [ 436 / 445 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
3.083 * * * * [progress]: [ 437 / 445 ] 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)))>
3.083 * * * * [progress]: [ 438 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
3.083 * * * * [progress]: [ 439 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
3.083 * * * * [progress]: [ 440 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.083 * * * * [progress]: [ 441 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.083 * * * * [progress]: [ 442 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.083 * * * * [progress]: [ 443 / 445 ] 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)))))))))))))))))))))))>
3.083 * * * * [progress]: [ 444 / 445 ] 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)))))))))>
3.083 * * * * [progress]: [ 445 / 445 ] 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))))))))))))>
3.090 * [simplify]: Simplifying:
  (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (* (+ (log PI) (+ (log n) (log 2))) (- 1/2 (/ k 2)))
  (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)))
  (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
  (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* PI (* n 2)) 1/2)
  (pow (* PI (* n 2)) (/ k 2))
  (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2))))
  (pow (* PI (* n 2)) 1)
  (pow (* PI (* n 2)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* PI (* n 2)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* PI (* n 2)) 1)
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k))))
  (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* PI (* n 2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k))))
  (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* PI (* n 2)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* PI (* n 2)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* PI (* n 2)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1)))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ k 2) 1))))
  (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* PI (* n 2)) (fma 1 1/2 (- (* (/ 1 2) k))))
  (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* PI (* n 2)) 1/2)
  (pow (* PI (* n 2)) (- (/ k 2)))
  (pow (* PI (* n 2)) 1/2)
  (pow (* PI (* n 2)) (- (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (expm1 (* PI (* n 2)))
  (log1p (* PI (* n 2)))
  (* PI (* n 2))
  (* PI (* n 2))
  (+ (log PI) (+ (log n) (log 2)))
  (+ (log PI) (log (* n 2)))
  (log (* PI (* n 2)))
  (exp (* PI (* n 2)))
  (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2)))
  (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2)))
  (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2))))
  (cbrt (* PI (* n 2)))
  (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (sqrt (* PI (* n 2)))
  (* PI n)
  (* (cbrt PI) (* n 2))
  (* (sqrt PI) (* n 2))
  (* PI (* n 2))
  (real->posit16 (* PI (* n 2)))
  (expm1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (log1p (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (* (+ (log PI) (+ (log n) (log 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))
  (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))
  (/ (pow (* PI (* n 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))
  (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))
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  (/ (pow (* PI (* n 2)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))
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  (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))
  (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))
  (/ (sqrt k) (pow (* PI (* n 2)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))
  (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
  (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))
  (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* PI (* n 2)) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))
  (real->posit16 (/ (pow (* PI (* n 2)) (- 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)))))))))))
3.110 * * [simplify]: iteration 1: (698 enodes)
3.413 * * [simplify]: iteration 2: (1515 enodes)
4.757 * * [simplify]: Extracting #0: cost 212 inf + 0
4.761 * * [simplify]: Extracting #1: cost 835 inf + 1
4.769 * * [simplify]: Extracting #2: cost 1371 inf + 2843
4.784 * * [simplify]: Extracting #3: cost 1490 inf + 50740
4.811 * * [simplify]: Extracting #4: cost 1165 inf + 173880
4.905 * * [simplify]: Extracting #5: cost 717 inf + 363097
5.037 * * [simplify]: Extracting #6: cost 398 inf + 548093
5.204 * * [simplify]: Extracting #7: cost 79 inf + 764685
5.371 * * [simplify]: Extracting #8: cost 2 inf + 822930
5.575 * * [simplify]: Extracting #9: cost 0 inf + 824546
5.774 * * [simplify]: Extracting #10: cost 0 inf + 824451
5.992 * * [simplify]: Extracting #11: cost 0 inf + 824426
6.194 * [simplify]: Simplified to:
  (expm1 (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (log1p (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))
  (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))
  (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))
  (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* (* 2 n) PI))
  (pow (* (* 2 n) PI) (* 1/2 k))
  (pow (* (* 2 n) PI) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* (* 2 n) PI) (sqrt (- 1/2 (* 1/2 k))))
  (* (* 2 n) PI)
  (pow (* (* 2 n) PI) (+ (sqrt 1/2) (sqrt (* 1/2 k))))
  (pow (* (* 2 n) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* (* 2 n) PI)
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* 2 n) PI) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k)))
  (sqrt (* (* 2 n) PI))
  (pow (* (* 2 n) PI) (* -1/2 k))
  (sqrt (* (* 2 n) PI))
  (pow (* (* 2 n) PI) (* -1/2 k))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k)))
  (exp (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))))
  (cbrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (* (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (* (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))))
  (sqrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (pow (* (* 2 n) PI) (- 1/4 (/ k 4)))
  (pow (* (* 2 n) PI) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (expm1 (* (* 2 n) PI))
  (log1p (* (* 2 n) PI))
  (* (* 2 n) PI)
  (* (* 2 n) PI)
  (log (* (* 2 n) PI))
  (log (* (* 2 n) PI))
  (log (* (* 2 n) PI))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* n n) (* 8 n)) (* (* PI PI) PI))
  (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI))
  (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI)))
  (cbrt (* (* 2 n) PI))
  (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI))
  (sqrt (* (* 2 n) PI))
  (sqrt (* (* 2 n) PI))
  (* PI n)
  (* n (* 2 (cbrt PI)))
  (* (sqrt PI) (* 2 n))
  (* (* 2 n) PI)
  (real->posit16 (* (* 2 n) PI))
  (expm1 (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (log1p (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 n) PI)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)) (/ (* (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))) k))
  (* (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k))))
  (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)) (* (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k))))
  (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (- (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2)))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2))))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (cbrt k) (* (cbrt k) (cbrt k))) (sqrt 2)) (sqrt 2))))
  (/ (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2)))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (cbrt 2))) (cbrt 2))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))
  (/ (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))) (sqrt k))
  (/ (pow (* (* 2 n) PI) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (cbrt (sqrt k)))
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  (/ (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (cbrt k)))
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  (/ (sqrt k) (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2)))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma (/ k (cbrt 2)) (/ -1 (* (cbrt 2) (cbrt 2))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (fma -1/2 k (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* -1/2 k)))
  (/ (sqrt k) (pow (* (* 2 n) PI) (* -1/2 k)))
  (/ (sqrt k) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (sqrt (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/4 (/ k 4))))
  (* (pow (* (* 2 n) PI) (* 1/2 k)) (sqrt k))
  (real->posit16 (/ (pow (* (* 2 n) PI) (- 1/2 (* 1/2 k))) (sqrt k)))
  (fma (* 1/4 (log (* PI 2))) (* (* (exp (* (log (* (* 2 n) PI)) 1/2)) (log n)) (* k k)) (- (fma (* 1/8 (exp (* (log (* (* 2 n) PI)) 1/2))) (* (* (log n) k) (* (log n) k)) (fma 1/8 (* (exp (* (log (* (* 2 n) PI)) 1/2)) (* (* k k) (* (log (* PI 2)) (log (* PI 2))))) (exp (* (log (* (* 2 n) PI)) 1/2)))) (* (* k (+ (* (exp (* (log (* (* 2 n) PI)) 1/2)) (log n)) (* (log (* PI 2)) (exp (* (log (* (* 2 n) PI)) 1/2))))) 1/2)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 n) PI)
  (* (* 2 n) PI)
  (* (* 2 n) PI)
  (- (fma +nan.0 (* (* (* (exp (* (log (* (* 2 n) PI)) 1/2)) (log n)) (* k k)) (log (* PI 2))) (- (- (* (log (* PI 2)) (* (exp (* (log (* (* 2 n) PI)) 1/2)) (* (* k k) +nan.0))) (fma (* (exp (* (log (* (* 2 n) PI)) 1/2)) +nan.0) (* (* (log n) k) (* (log n) k)) (- (- (* (* (exp (* (log (* (* 2 n) PI)) 1/2)) +nan.0) k) (+ (- (* (exp (* (log (* (* 2 n) PI)) 1/2)) +nan.0) (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* (log (* (* 2 n) PI)) 1/2)) (* (* k k) +nan.0)))) (+ (- (* +nan.0 (* (* (exp (* (log (* (* 2 n) PI)) 1/2)) (log n)) (* k k))) (* (exp (* (log (* (* 2 n) PI)) 1/2)) (* (* k k) +nan.0))) (- (* +nan.0 (* (exp (* (log (* (* 2 n) PI)) 1/2)) (* k (log (* PI 2))))) (* (* (log n) k) (* (exp (* (log (* (* 2 n) PI)) 1/2)) +nan.0))))))))))))
  (- (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))) (* k (* k k)))) (* +nan.0 (- (/ (exp (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))) k) (/ (exp (* (- 1/2 (* 1/2 k)) (log (* (* 2 n) PI)))) (* k k))))))
  (+ (* (- +nan.0) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (* +nan.0 (- (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
6.303 * * * [progress]: adding candidates to table
13.146 * * [progress]: iteration 2 / 4
13.147 * * * [progress]: picking best candidate
13.183 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
13.183 * * * [progress]: localizing error
13.207 * * * [progress]: generating rewritten candidates
13.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
13.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
13.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
13.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
13.315 * * * [progress]: generating series expansions
13.315 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
13.316 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
13.316 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
13.316 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
13.316 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
13.316 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
13.316 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
13.316 * [taylor]: Taking taylor expansion of 1/2 in k
13.316 * [backup-simplify]: Simplify 1/2 into 1/2
13.316 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.316 * [taylor]: Taking taylor expansion of 1 in k
13.316 * [backup-simplify]: Simplify 1 into 1
13.316 * [taylor]: Taking taylor expansion of k in k
13.316 * [backup-simplify]: Simplify 0 into 0
13.316 * [backup-simplify]: Simplify 1 into 1
13.316 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.316 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.316 * [taylor]: Taking taylor expansion of 2 in k
13.316 * [backup-simplify]: Simplify 2 into 2
13.316 * [taylor]: Taking taylor expansion of (* n PI) in k
13.316 * [taylor]: Taking taylor expansion of n in k
13.316 * [backup-simplify]: Simplify n into n
13.316 * [taylor]: Taking taylor expansion of PI in k
13.316 * [backup-simplify]: Simplify PI into PI
13.316 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.317 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.317 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.317 * [backup-simplify]: Simplify (- 0) into 0
13.317 * [backup-simplify]: Simplify (+ 1 0) into 1
13.317 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.317 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.318 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.318 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
13.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
13.318 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
13.318 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
13.318 * [taylor]: Taking taylor expansion of 1/2 in n
13.318 * [backup-simplify]: Simplify 1/2 into 1/2
13.318 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.318 * [taylor]: Taking taylor expansion of 1 in n
13.318 * [backup-simplify]: Simplify 1 into 1
13.318 * [taylor]: Taking taylor expansion of k in n
13.318 * [backup-simplify]: Simplify k into k
13.318 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.318 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.318 * [taylor]: Taking taylor expansion of 2 in n
13.318 * [backup-simplify]: Simplify 2 into 2
13.318 * [taylor]: Taking taylor expansion of (* n PI) in n
13.318 * [taylor]: Taking taylor expansion of n in n
13.318 * [backup-simplify]: Simplify 0 into 0
13.318 * [backup-simplify]: Simplify 1 into 1
13.318 * [taylor]: Taking taylor expansion of PI in n
13.318 * [backup-simplify]: Simplify PI into PI
13.318 * [backup-simplify]: Simplify (* 0 PI) into 0
13.319 * [backup-simplify]: Simplify (* 2 0) into 0
13.320 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.322 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.323 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.323 * [backup-simplify]: Simplify (- k) into (- k)
13.323 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.323 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
13.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.326 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.327 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.327 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
13.327 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
13.327 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
13.327 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
13.327 * [taylor]: Taking taylor expansion of 1/2 in n
13.327 * [backup-simplify]: Simplify 1/2 into 1/2
13.327 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.327 * [taylor]: Taking taylor expansion of 1 in n
13.327 * [backup-simplify]: Simplify 1 into 1
13.327 * [taylor]: Taking taylor expansion of k in n
13.327 * [backup-simplify]: Simplify k into k
13.327 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.327 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.327 * [taylor]: Taking taylor expansion of 2 in n
13.327 * [backup-simplify]: Simplify 2 into 2
13.327 * [taylor]: Taking taylor expansion of (* n PI) in n
13.327 * [taylor]: Taking taylor expansion of n in n
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [backup-simplify]: Simplify 1 into 1
13.327 * [taylor]: Taking taylor expansion of PI in n
13.328 * [backup-simplify]: Simplify PI into PI
13.328 * [backup-simplify]: Simplify (* 0 PI) into 0
13.328 * [backup-simplify]: Simplify (* 2 0) into 0
13.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.331 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.332 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.332 * [backup-simplify]: Simplify (- k) into (- k)
13.333 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.333 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
13.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.335 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.336 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.336 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
13.336 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
13.336 * [taylor]: Taking taylor expansion of 1/2 in k
13.336 * [backup-simplify]: Simplify 1/2 into 1/2
13.337 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
13.337 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.337 * [taylor]: Taking taylor expansion of 1 in k
13.337 * [backup-simplify]: Simplify 1 into 1
13.337 * [taylor]: Taking taylor expansion of k in k
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 1 into 1
13.337 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
13.337 * [taylor]: Taking taylor expansion of (log n) in k
13.337 * [taylor]: Taking taylor expansion of n in k
13.337 * [backup-simplify]: Simplify n into n
13.337 * [backup-simplify]: Simplify (log n) into (log n)
13.337 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.337 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.337 * [taylor]: Taking taylor expansion of 2 in k
13.337 * [backup-simplify]: Simplify 2 into 2
13.337 * [taylor]: Taking taylor expansion of PI in k
13.337 * [backup-simplify]: Simplify PI into PI
13.337 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.339 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.339 * [backup-simplify]: Simplify (- 0) into 0
13.339 * [backup-simplify]: Simplify (+ 1 0) into 1
13.340 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.342 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
13.343 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
13.344 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
13.345 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
13.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.350 * [backup-simplify]: Simplify (- 0) into 0
13.350 * [backup-simplify]: Simplify (+ 0 0) into 0
13.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
13.352 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.354 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
13.356 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.356 * [taylor]: Taking taylor expansion of 0 in k
13.356 * [backup-simplify]: Simplify 0 into 0
13.356 * [backup-simplify]: Simplify 0 into 0
13.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.358 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.360 * [backup-simplify]: Simplify (+ 0 0) into 0
13.360 * [backup-simplify]: Simplify (- 1) into -1
13.361 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.362 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
13.365 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
13.368 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
13.371 * [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)))))))
13.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.377 * [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
13.377 * [backup-simplify]: Simplify (- 0) into 0
13.378 * [backup-simplify]: Simplify (+ 0 0) into 0
13.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
13.380 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.381 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.384 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.384 * [taylor]: Taking taylor expansion of 0 in k
13.384 * [backup-simplify]: Simplify 0 into 0
13.384 * [backup-simplify]: Simplify 0 into 0
13.384 * [backup-simplify]: Simplify 0 into 0
13.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
13.390 * [backup-simplify]: Simplify (+ 0 0) into 0
13.391 * [backup-simplify]: Simplify (- 0) into 0
13.392 * [backup-simplify]: Simplify (+ 0 0) into 0
13.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.400 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
13.405 * [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)))))
13.414 * [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)))))
13.415 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
13.415 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
13.415 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
13.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.415 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.415 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
13.415 * [taylor]: Taking taylor expansion of 1/2 in k
13.415 * [backup-simplify]: Simplify 1/2 into 1/2
13.415 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.415 * [taylor]: Taking taylor expansion of 1 in k
13.416 * [backup-simplify]: Simplify 1 into 1
13.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.416 * [taylor]: Taking taylor expansion of k in k
13.416 * [backup-simplify]: Simplify 0 into 0
13.416 * [backup-simplify]: Simplify 1 into 1
13.416 * [backup-simplify]: Simplify (/ 1 1) into 1
13.416 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.416 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.416 * [taylor]: Taking taylor expansion of 2 in k
13.416 * [backup-simplify]: Simplify 2 into 2
13.416 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.416 * [taylor]: Taking taylor expansion of PI in k
13.416 * [backup-simplify]: Simplify PI into PI
13.416 * [taylor]: Taking taylor expansion of n in k
13.416 * [backup-simplify]: Simplify n into n
13.416 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.416 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.416 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.417 * [backup-simplify]: Simplify (- 1) into -1
13.417 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.418 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
13.418 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.418 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
13.418 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
13.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.418 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
13.418 * [taylor]: Taking taylor expansion of 1/2 in n
13.418 * [backup-simplify]: Simplify 1/2 into 1/2
13.418 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.418 * [taylor]: Taking taylor expansion of 1 in n
13.418 * [backup-simplify]: Simplify 1 into 1
13.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.418 * [taylor]: Taking taylor expansion of k in n
13.418 * [backup-simplify]: Simplify k into k
13.418 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.419 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.419 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.419 * [taylor]: Taking taylor expansion of 2 in n
13.419 * [backup-simplify]: Simplify 2 into 2
13.419 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.419 * [taylor]: Taking taylor expansion of PI in n
13.419 * [backup-simplify]: Simplify PI into PI
13.419 * [taylor]: Taking taylor expansion of n in n
13.419 * [backup-simplify]: Simplify 0 into 0
13.419 * [backup-simplify]: Simplify 1 into 1
13.420 * [backup-simplify]: Simplify (/ PI 1) into PI
13.420 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.421 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.421 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.421 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.421 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
13.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.424 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.425 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.425 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
13.425 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.425 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.425 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
13.425 * [taylor]: Taking taylor expansion of 1/2 in n
13.425 * [backup-simplify]: Simplify 1/2 into 1/2
13.425 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.426 * [taylor]: Taking taylor expansion of 1 in n
13.426 * [backup-simplify]: Simplify 1 into 1
13.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.426 * [taylor]: Taking taylor expansion of k in n
13.426 * [backup-simplify]: Simplify k into k
13.426 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.426 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.426 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.426 * [taylor]: Taking taylor expansion of 2 in n
13.426 * [backup-simplify]: Simplify 2 into 2
13.426 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.426 * [taylor]: Taking taylor expansion of PI in n
13.426 * [backup-simplify]: Simplify PI into PI
13.426 * [taylor]: Taking taylor expansion of n in n
13.426 * [backup-simplify]: Simplify 0 into 0
13.426 * [backup-simplify]: Simplify 1 into 1
13.427 * [backup-simplify]: Simplify (/ PI 1) into PI
13.427 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.428 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.428 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.428 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.428 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
13.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.431 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.432 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
13.432 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
13.432 * [taylor]: Taking taylor expansion of 1/2 in k
13.432 * [backup-simplify]: Simplify 1/2 into 1/2
13.432 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
13.432 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.433 * [taylor]: Taking taylor expansion of 1 in k
13.433 * [backup-simplify]: Simplify 1 into 1
13.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.433 * [taylor]: Taking taylor expansion of k in k
13.433 * [backup-simplify]: Simplify 0 into 0
13.433 * [backup-simplify]: Simplify 1 into 1
13.433 * [backup-simplify]: Simplify (/ 1 1) into 1
13.433 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
13.433 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.433 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.433 * [taylor]: Taking taylor expansion of 2 in k
13.433 * [backup-simplify]: Simplify 2 into 2
13.433 * [taylor]: Taking taylor expansion of PI in k
13.433 * [backup-simplify]: Simplify PI into PI
13.434 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.435 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.435 * [taylor]: Taking taylor expansion of (log n) in k
13.435 * [taylor]: Taking taylor expansion of n in k
13.435 * [backup-simplify]: Simplify n into n
13.435 * [backup-simplify]: Simplify (log n) into (log n)
13.435 * [backup-simplify]: Simplify (- 1) into -1
13.436 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.436 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.437 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
13.438 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
13.439 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
13.440 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.442 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.446 * [backup-simplify]: Simplify (- 0) into 0
13.447 * [backup-simplify]: Simplify (+ 0 0) into 0
13.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
13.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.457 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.459 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.459 * [taylor]: Taking taylor expansion of 0 in k
13.459 * [backup-simplify]: Simplify 0 into 0
13.459 * [backup-simplify]: Simplify 0 into 0
13.459 * [backup-simplify]: Simplify 0 into 0
13.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
13.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.465 * [backup-simplify]: Simplify (- 0) into 0
13.466 * [backup-simplify]: Simplify (+ 0 0) into 0
13.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
13.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.470 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
13.472 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.472 * [taylor]: Taking taylor expansion of 0 in k
13.472 * [backup-simplify]: Simplify 0 into 0
13.472 * [backup-simplify]: Simplify 0 into 0
13.472 * [backup-simplify]: Simplify 0 into 0
13.473 * [backup-simplify]: Simplify 0 into 0
13.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.480 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
13.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.481 * [backup-simplify]: Simplify (- 0) into 0
13.481 * [backup-simplify]: Simplify (+ 0 0) into 0
13.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
13.484 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.486 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
13.489 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.489 * [taylor]: Taking taylor expansion of 0 in k
13.489 * [backup-simplify]: Simplify 0 into 0
13.489 * [backup-simplify]: Simplify 0 into 0
13.491 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
13.491 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
13.491 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
13.491 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
13.491 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
13.491 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
13.491 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
13.491 * [taylor]: Taking taylor expansion of 1/2 in k
13.492 * [backup-simplify]: Simplify 1/2 into 1/2
13.492 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.492 * [taylor]: Taking taylor expansion of k in k
13.492 * [backup-simplify]: Simplify 0 into 0
13.492 * [backup-simplify]: Simplify 1 into 1
13.492 * [backup-simplify]: Simplify (/ 1 1) into 1
13.492 * [taylor]: Taking taylor expansion of 1 in k
13.492 * [backup-simplify]: Simplify 1 into 1
13.492 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.492 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.492 * [taylor]: Taking taylor expansion of -2 in k
13.493 * [backup-simplify]: Simplify -2 into -2
13.493 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.493 * [taylor]: Taking taylor expansion of PI in k
13.493 * [backup-simplify]: Simplify PI into PI
13.493 * [taylor]: Taking taylor expansion of n in k
13.493 * [backup-simplify]: Simplify n into n
13.493 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.493 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.493 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.493 * [backup-simplify]: Simplify (+ 1 0) into 1
13.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.494 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.494 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
13.494 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
13.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.494 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
13.494 * [taylor]: Taking taylor expansion of 1/2 in n
13.494 * [backup-simplify]: Simplify 1/2 into 1/2
13.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.494 * [taylor]: Taking taylor expansion of k in n
13.494 * [backup-simplify]: Simplify k into k
13.494 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.494 * [taylor]: Taking taylor expansion of 1 in n
13.494 * [backup-simplify]: Simplify 1 into 1
13.495 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.495 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.495 * [taylor]: Taking taylor expansion of -2 in n
13.495 * [backup-simplify]: Simplify -2 into -2
13.495 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.495 * [taylor]: Taking taylor expansion of PI in n
13.495 * [backup-simplify]: Simplify PI into PI
13.495 * [taylor]: Taking taylor expansion of n in n
13.495 * [backup-simplify]: Simplify 0 into 0
13.495 * [backup-simplify]: Simplify 1 into 1
13.495 * [backup-simplify]: Simplify (/ PI 1) into PI
13.496 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.497 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.497 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.497 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
13.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.500 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.501 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.501 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
13.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.501 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
13.501 * [taylor]: Taking taylor expansion of 1/2 in n
13.501 * [backup-simplify]: Simplify 1/2 into 1/2
13.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.501 * [taylor]: Taking taylor expansion of k in n
13.501 * [backup-simplify]: Simplify k into k
13.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.502 * [taylor]: Taking taylor expansion of 1 in n
13.502 * [backup-simplify]: Simplify 1 into 1
13.502 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.502 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.502 * [taylor]: Taking taylor expansion of -2 in n
13.502 * [backup-simplify]: Simplify -2 into -2
13.502 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.502 * [taylor]: Taking taylor expansion of PI in n
13.502 * [backup-simplify]: Simplify PI into PI
13.502 * [taylor]: Taking taylor expansion of n in n
13.502 * [backup-simplify]: Simplify 0 into 0
13.502 * [backup-simplify]: Simplify 1 into 1
13.502 * [backup-simplify]: Simplify (/ PI 1) into PI
13.503 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.504 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.504 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.504 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
13.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.507 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.508 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.508 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
13.508 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
13.508 * [taylor]: Taking taylor expansion of 1/2 in k
13.508 * [backup-simplify]: Simplify 1/2 into 1/2
13.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
13.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.508 * [taylor]: Taking taylor expansion of k in k
13.508 * [backup-simplify]: Simplify 0 into 0
13.508 * [backup-simplify]: Simplify 1 into 1
13.509 * [backup-simplify]: Simplify (/ 1 1) into 1
13.509 * [taylor]: Taking taylor expansion of 1 in k
13.509 * [backup-simplify]: Simplify 1 into 1
13.509 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
13.509 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
13.509 * [taylor]: Taking taylor expansion of (* -2 PI) in k
13.509 * [taylor]: Taking taylor expansion of -2 in k
13.509 * [backup-simplify]: Simplify -2 into -2
13.509 * [taylor]: Taking taylor expansion of PI in k
13.509 * [backup-simplify]: Simplify PI into PI
13.509 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.511 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.511 * [taylor]: Taking taylor expansion of (log n) in k
13.511 * [taylor]: Taking taylor expansion of n in k
13.511 * [backup-simplify]: Simplify n into n
13.511 * [backup-simplify]: Simplify (log n) into (log n)
13.511 * [backup-simplify]: Simplify (+ 1 0) into 1
13.511 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.512 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
13.513 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
13.515 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
13.516 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.517 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.519 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.522 * [backup-simplify]: Simplify (+ 0 0) into 0
13.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
13.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.526 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
13.528 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.528 * [taylor]: Taking taylor expansion of 0 in k
13.528 * [backup-simplify]: Simplify 0 into 0
13.528 * [backup-simplify]: Simplify 0 into 0
13.528 * [backup-simplify]: Simplify 0 into 0
13.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.530 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
13.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.534 * [backup-simplify]: Simplify (+ 0 0) into 0
13.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
13.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.538 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
13.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.541 * [taylor]: Taking taylor expansion of 0 in k
13.541 * [backup-simplify]: Simplify 0 into 0
13.541 * [backup-simplify]: Simplify 0 into 0
13.541 * [backup-simplify]: Simplify 0 into 0
13.541 * [backup-simplify]: Simplify 0 into 0
13.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.544 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.550 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
13.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.551 * [backup-simplify]: Simplify (+ 0 0) into 0
13.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
13.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.556 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
13.559 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.559 * [taylor]: Taking taylor expansion of 0 in k
13.559 * [backup-simplify]: Simplify 0 into 0
13.559 * [backup-simplify]: Simplify 0 into 0
13.560 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
13.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
13.561 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.561 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
13.561 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.561 * [taylor]: Taking taylor expansion of 2 in n
13.561 * [backup-simplify]: Simplify 2 into 2
13.561 * [taylor]: Taking taylor expansion of (* n PI) in n
13.561 * [taylor]: Taking taylor expansion of n in n
13.561 * [backup-simplify]: Simplify 0 into 0
13.561 * [backup-simplify]: Simplify 1 into 1
13.561 * [taylor]: Taking taylor expansion of PI in n
13.561 * [backup-simplify]: Simplify PI into PI
13.561 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.561 * [taylor]: Taking taylor expansion of 2 in n
13.561 * [backup-simplify]: Simplify 2 into 2
13.561 * [taylor]: Taking taylor expansion of (* n PI) in n
13.561 * [taylor]: Taking taylor expansion of n in n
13.561 * [backup-simplify]: Simplify 0 into 0
13.561 * [backup-simplify]: Simplify 1 into 1
13.561 * [taylor]: Taking taylor expansion of PI in n
13.561 * [backup-simplify]: Simplify PI into PI
13.562 * [backup-simplify]: Simplify (* 0 PI) into 0
13.562 * [backup-simplify]: Simplify (* 2 0) into 0
13.562 * [backup-simplify]: Simplify 0 into 0
13.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.566 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.566 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.568 * [backup-simplify]: Simplify 0 into 0
13.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.571 * [backup-simplify]: Simplify 0 into 0
13.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.574 * [backup-simplify]: Simplify 0 into 0
13.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.577 * [backup-simplify]: Simplify 0 into 0
13.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.581 * [backup-simplify]: Simplify 0 into 0
13.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.585 * [backup-simplify]: Simplify 0 into 0
13.586 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.586 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
13.586 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
13.586 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.586 * [taylor]: Taking taylor expansion of 2 in n
13.586 * [backup-simplify]: Simplify 2 into 2
13.586 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.586 * [taylor]: Taking taylor expansion of PI in n
13.587 * [backup-simplify]: Simplify PI into PI
13.587 * [taylor]: Taking taylor expansion of n in n
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [backup-simplify]: Simplify 1 into 1
13.587 * [backup-simplify]: Simplify (/ PI 1) into PI
13.587 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.587 * [taylor]: Taking taylor expansion of 2 in n
13.587 * [backup-simplify]: Simplify 2 into 2
13.587 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.587 * [taylor]: Taking taylor expansion of PI in n
13.588 * [backup-simplify]: Simplify PI into PI
13.588 * [taylor]: Taking taylor expansion of n in n
13.588 * [backup-simplify]: Simplify 0 into 0
13.588 * [backup-simplify]: Simplify 1 into 1
13.588 * [backup-simplify]: Simplify (/ PI 1) into PI
13.589 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.589 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.591 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.591 * [backup-simplify]: Simplify 0 into 0
13.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.593 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.593 * [backup-simplify]: Simplify 0 into 0
13.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.596 * [backup-simplify]: Simplify 0 into 0
13.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.598 * [backup-simplify]: Simplify 0 into 0
13.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.601 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.604 * [backup-simplify]: Simplify 0 into 0
13.605 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
13.605 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
13.605 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
13.605 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.605 * [taylor]: Taking taylor expansion of -2 in n
13.606 * [backup-simplify]: Simplify -2 into -2
13.606 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.606 * [taylor]: Taking taylor expansion of PI in n
13.606 * [backup-simplify]: Simplify PI into PI
13.606 * [taylor]: Taking taylor expansion of n in n
13.606 * [backup-simplify]: Simplify 0 into 0
13.606 * [backup-simplify]: Simplify 1 into 1
13.606 * [backup-simplify]: Simplify (/ PI 1) into PI
13.606 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.606 * [taylor]: Taking taylor expansion of -2 in n
13.606 * [backup-simplify]: Simplify -2 into -2
13.606 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.606 * [taylor]: Taking taylor expansion of PI in n
13.606 * [backup-simplify]: Simplify PI into PI
13.606 * [taylor]: Taking taylor expansion of n in n
13.606 * [backup-simplify]: Simplify 0 into 0
13.606 * [backup-simplify]: Simplify 1 into 1
13.607 * [backup-simplify]: Simplify (/ PI 1) into PI
13.607 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.608 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.617 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.617 * [backup-simplify]: Simplify 0 into 0
13.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.619 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.619 * [backup-simplify]: Simplify 0 into 0
13.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.621 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.621 * [backup-simplify]: Simplify 0 into 0
13.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.624 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.624 * [backup-simplify]: Simplify 0 into 0
13.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.627 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.627 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.630 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.630 * [backup-simplify]: Simplify 0 into 0
13.631 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
13.631 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
13.631 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
13.631 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
13.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.631 * [taylor]: Taking taylor expansion of k in k
13.631 * [backup-simplify]: Simplify 0 into 0
13.631 * [backup-simplify]: Simplify 1 into 1
13.632 * [backup-simplify]: Simplify (/ 1 1) into 1
13.632 * [backup-simplify]: Simplify (sqrt 0) into 0
13.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.634 * [taylor]: Taking taylor expansion of k in k
13.634 * [backup-simplify]: Simplify 0 into 0
13.634 * [backup-simplify]: Simplify 1 into 1
13.634 * [backup-simplify]: Simplify (/ 1 1) into 1
13.635 * [backup-simplify]: Simplify (sqrt 0) into 0
13.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.636 * [backup-simplify]: Simplify 0 into 0
13.636 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.640 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.645 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.645 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
13.645 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
13.645 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
13.645 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.645 * [taylor]: Taking taylor expansion of k in k
13.646 * [backup-simplify]: Simplify 0 into 0
13.646 * [backup-simplify]: Simplify 1 into 1
13.646 * [backup-simplify]: Simplify (sqrt 0) into 0
13.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.647 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.647 * [taylor]: Taking taylor expansion of k in k
13.647 * [backup-simplify]: Simplify 0 into 0
13.647 * [backup-simplify]: Simplify 1 into 1
13.648 * [backup-simplify]: Simplify (sqrt 0) into 0
13.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.649 * [backup-simplify]: Simplify 0 into 0
13.649 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.652 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.652 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.657 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.657 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
13.658 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
13.658 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
13.658 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
13.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.658 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.658 * [taylor]: Taking taylor expansion of -1 in k
13.658 * [backup-simplify]: Simplify -1 into -1
13.658 * [taylor]: Taking taylor expansion of k in k
13.658 * [backup-simplify]: Simplify 0 into 0
13.658 * [backup-simplify]: Simplify 1 into 1
13.658 * [backup-simplify]: Simplify (/ -1 1) into -1
13.659 * [backup-simplify]: Simplify (sqrt 0) into 0
13.660 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.660 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
13.660 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
13.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.661 * [taylor]: Taking taylor expansion of -1 in k
13.661 * [backup-simplify]: Simplify -1 into -1
13.661 * [taylor]: Taking taylor expansion of k in k
13.661 * [backup-simplify]: Simplify 0 into 0
13.661 * [backup-simplify]: Simplify 1 into 1
13.661 * [backup-simplify]: Simplify (/ -1 1) into -1
13.662 * [backup-simplify]: Simplify (sqrt 0) into 0
13.663 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.663 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
13.663 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.667 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.669 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
13.670 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.679 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
13.679 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.680 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
13.680 * * * * [progress]: [ 4 / 4 ] generating series at (2)
13.681 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
13.681 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
13.681 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
13.681 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
13.681 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
13.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
13.681 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
13.681 * [taylor]: Taking taylor expansion of 1/2 in n
13.681 * [backup-simplify]: Simplify 1/2 into 1/2
13.681 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.681 * [taylor]: Taking taylor expansion of 1 in n
13.681 * [backup-simplify]: Simplify 1 into 1
13.682 * [taylor]: Taking taylor expansion of k in n
13.682 * [backup-simplify]: Simplify k into k
13.682 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.682 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.682 * [taylor]: Taking taylor expansion of 2 in n
13.682 * [backup-simplify]: Simplify 2 into 2
13.682 * [taylor]: Taking taylor expansion of (* n PI) in n
13.682 * [taylor]: Taking taylor expansion of n in n
13.682 * [backup-simplify]: Simplify 0 into 0
13.682 * [backup-simplify]: Simplify 1 into 1
13.682 * [taylor]: Taking taylor expansion of PI in n
13.682 * [backup-simplify]: Simplify PI into PI
13.682 * [backup-simplify]: Simplify (* 0 PI) into 0
13.683 * [backup-simplify]: Simplify (* 2 0) into 0
13.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.686 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.687 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.687 * [backup-simplify]: Simplify (- k) into (- k)
13.687 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.687 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
13.689 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.690 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.691 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.691 * [taylor]: Taking taylor expansion of k in n
13.692 * [backup-simplify]: Simplify k into k
13.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.692 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.692 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
13.692 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
13.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
13.692 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
13.692 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
13.692 * [taylor]: Taking taylor expansion of 1/2 in k
13.692 * [backup-simplify]: Simplify 1/2 into 1/2
13.692 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.692 * [taylor]: Taking taylor expansion of 1 in k
13.692 * [backup-simplify]: Simplify 1 into 1
13.692 * [taylor]: Taking taylor expansion of k in k
13.692 * [backup-simplify]: Simplify 0 into 0
13.692 * [backup-simplify]: Simplify 1 into 1
13.692 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.692 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.692 * [taylor]: Taking taylor expansion of 2 in k
13.692 * [backup-simplify]: Simplify 2 into 2
13.692 * [taylor]: Taking taylor expansion of (* n PI) in k
13.692 * [taylor]: Taking taylor expansion of n in k
13.692 * [backup-simplify]: Simplify n into n
13.692 * [taylor]: Taking taylor expansion of PI in k
13.692 * [backup-simplify]: Simplify PI into PI
13.693 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.693 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.693 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.693 * [backup-simplify]: Simplify (- 0) into 0
13.694 * [backup-simplify]: Simplify (+ 1 0) into 1
13.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.694 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.694 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.694 * [taylor]: Taking taylor expansion of k in k
13.694 * [backup-simplify]: Simplify 0 into 0
13.694 * [backup-simplify]: Simplify 1 into 1
13.695 * [backup-simplify]: Simplify (/ 1 1) into 1
13.695 * [backup-simplify]: Simplify (sqrt 0) into 0
13.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.696 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
13.697 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
13.697 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
13.697 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
13.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
13.697 * [taylor]: Taking taylor expansion of 1/2 in k
13.697 * [backup-simplify]: Simplify 1/2 into 1/2
13.697 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.697 * [taylor]: Taking taylor expansion of 1 in k
13.697 * [backup-simplify]: Simplify 1 into 1
13.697 * [taylor]: Taking taylor expansion of k in k
13.697 * [backup-simplify]: Simplify 0 into 0
13.697 * [backup-simplify]: Simplify 1 into 1
13.697 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.697 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.697 * [taylor]: Taking taylor expansion of 2 in k
13.697 * [backup-simplify]: Simplify 2 into 2
13.697 * [taylor]: Taking taylor expansion of (* n PI) in k
13.697 * [taylor]: Taking taylor expansion of n in k
13.697 * [backup-simplify]: Simplify n into n
13.697 * [taylor]: Taking taylor expansion of PI in k
13.697 * [backup-simplify]: Simplify PI into PI
13.697 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.697 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.697 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.698 * [backup-simplify]: Simplify (- 0) into 0
13.698 * [backup-simplify]: Simplify (+ 1 0) into 1
13.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.699 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.699 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.699 * [taylor]: Taking taylor expansion of k in k
13.699 * [backup-simplify]: Simplify 0 into 0
13.699 * [backup-simplify]: Simplify 1 into 1
13.699 * [backup-simplify]: Simplify (/ 1 1) into 1
13.700 * [backup-simplify]: Simplify (sqrt 0) into 0
13.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.701 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
13.701 * [taylor]: Taking taylor expansion of 0 in n
13.701 * [backup-simplify]: Simplify 0 into 0
13.701 * [backup-simplify]: Simplify 0 into 0
13.702 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
13.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
13.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
13.703 * [backup-simplify]: Simplify (- 1) into -1
13.704 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.705 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
13.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
13.706 * [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)))))
13.706 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
13.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
13.706 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.706 * [taylor]: Taking taylor expansion of +nan.0 in n
13.706 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.706 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.706 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.706 * [taylor]: Taking taylor expansion of 2 in n
13.706 * [backup-simplify]: Simplify 2 into 2
13.707 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.707 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.707 * [taylor]: Taking taylor expansion of (* n PI) in n
13.707 * [taylor]: Taking taylor expansion of n in n
13.707 * [backup-simplify]: Simplify 0 into 0
13.707 * [backup-simplify]: Simplify 1 into 1
13.707 * [taylor]: Taking taylor expansion of PI in n
13.707 * [backup-simplify]: Simplify PI into PI
13.708 * [backup-simplify]: Simplify (* 0 PI) into 0
13.709 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.710 * [backup-simplify]: Simplify (sqrt 0) into 0
13.711 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.712 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.712 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.713 * [backup-simplify]: Simplify (- 0) into 0
13.713 * [backup-simplify]: Simplify 0 into 0
13.713 * [backup-simplify]: Simplify 0 into 0
13.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.717 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.718 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
13.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
13.720 * [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
13.721 * [backup-simplify]: Simplify (- 0) into 0
13.721 * [backup-simplify]: Simplify (+ 0 0) into 0
13.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
13.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
13.724 * [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)))
13.725 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
13.725 * [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
13.725 * [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
13.725 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
13.725 * [taylor]: Taking taylor expansion of +nan.0 in n
13.725 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.725 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
13.725 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
13.725 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.725 * [taylor]: Taking taylor expansion of 2 in n
13.725 * [backup-simplify]: Simplify 2 into 2
13.725 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.726 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.726 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.726 * [taylor]: Taking taylor expansion of 2 in n
13.726 * [backup-simplify]: Simplify 2 into 2
13.726 * [taylor]: Taking taylor expansion of (* n PI) in n
13.726 * [taylor]: Taking taylor expansion of n in n
13.726 * [backup-simplify]: Simplify 0 into 0
13.726 * [backup-simplify]: Simplify 1 into 1
13.726 * [taylor]: Taking taylor expansion of PI in n
13.726 * [backup-simplify]: Simplify PI into PI
13.727 * [backup-simplify]: Simplify (* 0 PI) into 0
13.727 * [backup-simplify]: Simplify (* 2 0) into 0
13.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.731 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.732 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.732 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.732 * [taylor]: Taking taylor expansion of (* n PI) in n
13.732 * [taylor]: Taking taylor expansion of n in n
13.732 * [backup-simplify]: Simplify 0 into 0
13.732 * [backup-simplify]: Simplify 1 into 1
13.732 * [taylor]: Taking taylor expansion of PI in n
13.732 * [backup-simplify]: Simplify PI into PI
13.732 * [backup-simplify]: Simplify (* 0 PI) into 0
13.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.734 * [backup-simplify]: Simplify (sqrt 0) into 0
13.736 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
13.736 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.736 * [taylor]: Taking taylor expansion of +nan.0 in n
13.736 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.736 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.736 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.736 * [taylor]: Taking taylor expansion of 2 in n
13.736 * [backup-simplify]: Simplify 2 into 2
13.736 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.737 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.737 * [taylor]: Taking taylor expansion of (* n PI) in n
13.737 * [taylor]: Taking taylor expansion of n in n
13.737 * [backup-simplify]: Simplify 0 into 0
13.737 * [backup-simplify]: Simplify 1 into 1
13.737 * [taylor]: Taking taylor expansion of PI in n
13.737 * [backup-simplify]: Simplify PI into PI
13.737 * [backup-simplify]: Simplify (* 0 PI) into 0
13.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.739 * [backup-simplify]: Simplify (sqrt 0) into 0
13.741 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.742 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.743 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
13.745 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
13.745 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.746 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.746 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.747 * [backup-simplify]: Simplify (- 0) into 0
13.747 * [backup-simplify]: Simplify (+ 0 0) into 0
13.747 * [backup-simplify]: Simplify (- 0) into 0
13.747 * [backup-simplify]: Simplify 0 into 0
13.750 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.756 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.766 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.769 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.769 * [backup-simplify]: Simplify 0 into 0
13.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.775 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
13.780 * [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
13.780 * [backup-simplify]: Simplify (- 0) into 0
13.781 * [backup-simplify]: Simplify (+ 0 0) into 0
13.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
13.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
13.785 * [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)))
13.787 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
13.787 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
13.787 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
13.787 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
13.787 * [taylor]: Taking taylor expansion of +nan.0 in n
13.787 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.787 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
13.787 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
13.787 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.787 * [taylor]: Taking taylor expansion of 2 in n
13.787 * [backup-simplify]: Simplify 2 into 2
13.787 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.788 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.788 * [taylor]: Taking taylor expansion of 2 in n
13.788 * [backup-simplify]: Simplify 2 into 2
13.788 * [taylor]: Taking taylor expansion of (* n PI) in n
13.788 * [taylor]: Taking taylor expansion of n in n
13.788 * [backup-simplify]: Simplify 0 into 0
13.788 * [backup-simplify]: Simplify 1 into 1
13.788 * [taylor]: Taking taylor expansion of PI in n
13.788 * [backup-simplify]: Simplify PI into PI
13.789 * [backup-simplify]: Simplify (* 0 PI) into 0
13.789 * [backup-simplify]: Simplify (* 2 0) into 0
13.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.793 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.794 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.794 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.794 * [taylor]: Taking taylor expansion of (* n PI) in n
13.794 * [taylor]: Taking taylor expansion of n in n
13.794 * [backup-simplify]: Simplify 0 into 0
13.794 * [backup-simplify]: Simplify 1 into 1
13.794 * [taylor]: Taking taylor expansion of PI in n
13.794 * [backup-simplify]: Simplify PI into PI
13.794 * [backup-simplify]: Simplify (* 0 PI) into 0
13.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.796 * [backup-simplify]: Simplify (sqrt 0) into 0
13.798 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.798 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
13.798 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
13.798 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.798 * [taylor]: Taking taylor expansion of +nan.0 in n
13.798 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.798 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.798 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.798 * [taylor]: Taking taylor expansion of 2 in n
13.798 * [backup-simplify]: Simplify 2 into 2
13.799 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.799 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.799 * [taylor]: Taking taylor expansion of (* n PI) in n
13.799 * [taylor]: Taking taylor expansion of n in n
13.799 * [backup-simplify]: Simplify 0 into 0
13.799 * [backup-simplify]: Simplify 1 into 1
13.799 * [taylor]: Taking taylor expansion of PI in n
13.799 * [backup-simplify]: Simplify PI into PI
13.800 * [backup-simplify]: Simplify (* 0 PI) into 0
13.802 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.802 * [backup-simplify]: Simplify (sqrt 0) into 0
13.803 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
13.803 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
13.803 * [taylor]: Taking taylor expansion of +nan.0 in n
13.803 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
13.804 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
13.804 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.804 * [taylor]: Taking taylor expansion of 2 in n
13.804 * [backup-simplify]: Simplify 2 into 2
13.804 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.805 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
13.805 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.805 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.805 * [taylor]: Taking taylor expansion of 2 in n
13.805 * [backup-simplify]: Simplify 2 into 2
13.805 * [taylor]: Taking taylor expansion of (* n PI) in n
13.805 * [taylor]: Taking taylor expansion of n in n
13.805 * [backup-simplify]: Simplify 0 into 0
13.805 * [backup-simplify]: Simplify 1 into 1
13.805 * [taylor]: Taking taylor expansion of PI in n
13.805 * [backup-simplify]: Simplify PI into PI
13.805 * [backup-simplify]: Simplify (* 0 PI) into 0
13.806 * [backup-simplify]: Simplify (* 2 0) into 0
13.808 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.809 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.810 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.812 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.812 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.812 * [taylor]: Taking taylor expansion of (* n PI) in n
13.812 * [taylor]: Taking taylor expansion of n in n
13.812 * [backup-simplify]: Simplify 0 into 0
13.812 * [backup-simplify]: Simplify 1 into 1
13.812 * [taylor]: Taking taylor expansion of PI in n
13.812 * [backup-simplify]: Simplify PI into PI
13.812 * [backup-simplify]: Simplify (* 0 PI) into 0
13.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.815 * [backup-simplify]: Simplify (sqrt 0) into 0
13.816 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.818 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.819 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
13.820 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
13.821 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.821 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.822 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.827 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
13.829 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
13.831 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
13.831 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.831 * [backup-simplify]: Simplify (- 0) into 0
13.832 * [backup-simplify]: Simplify (+ 0 0) into 0
13.832 * [backup-simplify]: Simplify (- 0) into 0
13.832 * [backup-simplify]: Simplify (+ 0 0) into 0
13.833 * [backup-simplify]: Simplify (- 0) into 0
13.833 * [backup-simplify]: Simplify 0 into 0
13.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.838 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.840 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
13.842 * [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))))))))
13.849 * [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))))))))
13.852 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.858 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.861 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.871 * [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))))))))))
13.879 * [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)))))))
13.887 * [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)))))))
13.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.893 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
13.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
13.899 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.917 * [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))))
13.921 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.924 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.932 * [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)))))))))))))
13.933 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
13.933 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
13.933 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
13.933 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
13.933 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.933 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.933 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
13.933 * [taylor]: Taking taylor expansion of 1/2 in n
13.933 * [backup-simplify]: Simplify 1/2 into 1/2
13.933 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.933 * [taylor]: Taking taylor expansion of 1 in n
13.933 * [backup-simplify]: Simplify 1 into 1
13.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.933 * [taylor]: Taking taylor expansion of k in n
13.933 * [backup-simplify]: Simplify k into k
13.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.933 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.933 * [taylor]: Taking taylor expansion of 2 in n
13.933 * [backup-simplify]: Simplify 2 into 2
13.933 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.933 * [taylor]: Taking taylor expansion of PI in n
13.933 * [backup-simplify]: Simplify PI into PI
13.933 * [taylor]: Taking taylor expansion of n in n
13.933 * [backup-simplify]: Simplify 0 into 0
13.933 * [backup-simplify]: Simplify 1 into 1
13.934 * [backup-simplify]: Simplify (/ PI 1) into PI
13.934 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.935 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.935 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.935 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.935 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
13.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.937 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.937 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.937 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.937 * [taylor]: Taking taylor expansion of k in n
13.937 * [backup-simplify]: Simplify k into k
13.937 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.937 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
13.937 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
13.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.937 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
13.937 * [taylor]: Taking taylor expansion of 1/2 in k
13.938 * [backup-simplify]: Simplify 1/2 into 1/2
13.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.938 * [taylor]: Taking taylor expansion of 1 in k
13.938 * [backup-simplify]: Simplify 1 into 1
13.938 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.938 * [taylor]: Taking taylor expansion of k in k
13.938 * [backup-simplify]: Simplify 0 into 0
13.938 * [backup-simplify]: Simplify 1 into 1
13.938 * [backup-simplify]: Simplify (/ 1 1) into 1
13.938 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.938 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.938 * [taylor]: Taking taylor expansion of 2 in k
13.938 * [backup-simplify]: Simplify 2 into 2
13.938 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.938 * [taylor]: Taking taylor expansion of PI in k
13.938 * [backup-simplify]: Simplify PI into PI
13.938 * [taylor]: Taking taylor expansion of n in k
13.938 * [backup-simplify]: Simplify n into n
13.938 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.938 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.938 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.938 * [backup-simplify]: Simplify (- 1) into -1
13.939 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.939 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
13.939 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.939 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
13.939 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.939 * [taylor]: Taking taylor expansion of k in k
13.939 * [backup-simplify]: Simplify 0 into 0
13.939 * [backup-simplify]: Simplify 1 into 1
13.939 * [backup-simplify]: Simplify (sqrt 0) into 0
13.940 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.940 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
13.940 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
13.940 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.940 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.940 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
13.940 * [taylor]: Taking taylor expansion of 1/2 in k
13.940 * [backup-simplify]: Simplify 1/2 into 1/2
13.940 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.940 * [taylor]: Taking taylor expansion of 1 in k
13.940 * [backup-simplify]: Simplify 1 into 1
13.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.940 * [taylor]: Taking taylor expansion of k in k
13.940 * [backup-simplify]: Simplify 0 into 0
13.941 * [backup-simplify]: Simplify 1 into 1
13.941 * [backup-simplify]: Simplify (/ 1 1) into 1
13.941 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.941 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.941 * [taylor]: Taking taylor expansion of 2 in k
13.941 * [backup-simplify]: Simplify 2 into 2
13.941 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.941 * [taylor]: Taking taylor expansion of PI in k
13.941 * [backup-simplify]: Simplify PI into PI
13.941 * [taylor]: Taking taylor expansion of n in k
13.941 * [backup-simplify]: Simplify n into n
13.941 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.941 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.941 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.941 * [backup-simplify]: Simplify (- 1) into -1
13.942 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.942 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
13.942 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.942 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
13.942 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.942 * [taylor]: Taking taylor expansion of k in k
13.942 * [backup-simplify]: Simplify 0 into 0
13.942 * [backup-simplify]: Simplify 1 into 1
13.942 * [backup-simplify]: Simplify (sqrt 0) into 0
13.943 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.943 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
13.943 * [taylor]: Taking taylor expansion of 0 in n
13.943 * [backup-simplify]: Simplify 0 into 0
13.943 * [backup-simplify]: Simplify 0 into 0
13.944 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
13.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
13.944 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
13.944 * [taylor]: Taking taylor expansion of +nan.0 in n
13.944 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.944 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
13.944 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
13.944 * [taylor]: Taking taylor expansion of 1/2 in n
13.944 * [backup-simplify]: Simplify 1/2 into 1/2
13.944 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
13.944 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.944 * [taylor]: Taking taylor expansion of 1 in n
13.944 * [backup-simplify]: Simplify 1 into 1
13.944 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.944 * [taylor]: Taking taylor expansion of k in n
13.944 * [backup-simplify]: Simplify k into k
13.944 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.944 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.944 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.944 * [taylor]: Taking taylor expansion of 2 in n
13.944 * [backup-simplify]: Simplify 2 into 2
13.944 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.944 * [taylor]: Taking taylor expansion of PI in n
13.944 * [backup-simplify]: Simplify PI into PI
13.944 * [taylor]: Taking taylor expansion of n in n
13.944 * [backup-simplify]: Simplify 0 into 0
13.944 * [backup-simplify]: Simplify 1 into 1
13.945 * [backup-simplify]: Simplify (/ PI 1) into PI
13.945 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.946 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.946 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.946 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.947 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
13.948 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.949 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.950 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
13.951 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.951 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.951 * [backup-simplify]: Simplify 0 into 0
13.953 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.954 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
13.954 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
13.954 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
13.954 * [taylor]: Taking taylor expansion of +nan.0 in n
13.954 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.954 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
13.954 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
13.954 * [taylor]: Taking taylor expansion of 1/2 in n
13.954 * [backup-simplify]: Simplify 1/2 into 1/2
13.954 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
13.954 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.954 * [taylor]: Taking taylor expansion of 1 in n
13.954 * [backup-simplify]: Simplify 1 into 1
13.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.954 * [taylor]: Taking taylor expansion of k in n
13.954 * [backup-simplify]: Simplify k into k
13.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.954 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.954 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.954 * [taylor]: Taking taylor expansion of 2 in n
13.954 * [backup-simplify]: Simplify 2 into 2
13.954 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.954 * [taylor]: Taking taylor expansion of PI in n
13.954 * [backup-simplify]: Simplify PI into PI
13.954 * [taylor]: Taking taylor expansion of n in n
13.954 * [backup-simplify]: Simplify 0 into 0
13.954 * [backup-simplify]: Simplify 1 into 1
13.954 * [backup-simplify]: Simplify (/ PI 1) into PI
13.955 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.955 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.955 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.956 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.957 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
13.958 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.959 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.959 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
13.960 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.961 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.962 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.963 * [backup-simplify]: Simplify (- 0) into 0
13.964 * [backup-simplify]: Simplify (+ 0 0) into 0
13.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.965 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
13.967 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
13.968 * [backup-simplify]: Simplify (- 0) into 0
13.968 * [backup-simplify]: Simplify 0 into 0
13.969 * [backup-simplify]: Simplify 0 into 0
13.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.972 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
13.972 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
13.972 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
13.972 * [taylor]: Taking taylor expansion of +nan.0 in n
13.972 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.973 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
13.973 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
13.973 * [taylor]: Taking taylor expansion of 1/2 in n
13.973 * [backup-simplify]: Simplify 1/2 into 1/2
13.973 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
13.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.973 * [taylor]: Taking taylor expansion of 1 in n
13.973 * [backup-simplify]: Simplify 1 into 1
13.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.973 * [taylor]: Taking taylor expansion of k in n
13.973 * [backup-simplify]: Simplify k into k
13.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.973 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.973 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.973 * [taylor]: Taking taylor expansion of 2 in n
13.973 * [backup-simplify]: Simplify 2 into 2
13.973 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.973 * [taylor]: Taking taylor expansion of PI in n
13.973 * [backup-simplify]: Simplify PI into PI
13.973 * [taylor]: Taking taylor expansion of n in n
13.973 * [backup-simplify]: Simplify 0 into 0
13.973 * [backup-simplify]: Simplify 1 into 1
13.974 * [backup-simplify]: Simplify (/ PI 1) into PI
13.974 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.975 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.975 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.975 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.978 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
13.979 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.980 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.982 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
13.983 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.984 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
13.989 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
13.990 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
13.990 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
13.990 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
13.990 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
13.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.990 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
13.990 * [taylor]: Taking taylor expansion of 1/2 in n
13.990 * [backup-simplify]: Simplify 1/2 into 1/2
13.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.990 * [taylor]: Taking taylor expansion of k in n
13.990 * [backup-simplify]: Simplify k into k
13.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.990 * [taylor]: Taking taylor expansion of 1 in n
13.990 * [backup-simplify]: Simplify 1 into 1
13.990 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.990 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.990 * [taylor]: Taking taylor expansion of -2 in n
13.990 * [backup-simplify]: Simplify -2 into -2
13.990 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.990 * [taylor]: Taking taylor expansion of PI in n
13.990 * [backup-simplify]: Simplify PI into PI
13.990 * [taylor]: Taking taylor expansion of n in n
13.990 * [backup-simplify]: Simplify 0 into 0
13.990 * [backup-simplify]: Simplify 1 into 1
13.991 * [backup-simplify]: Simplify (/ PI 1) into PI
13.991 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.992 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.993 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.993 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
13.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.995 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.996 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.996 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.997 * [taylor]: Taking taylor expansion of -1 in n
13.997 * [backup-simplify]: Simplify -1 into -1
13.997 * [taylor]: Taking taylor expansion of k in n
13.997 * [backup-simplify]: Simplify k into k
13.997 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.997 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.997 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.998 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
13.998 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
13.998 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
13.998 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
13.998 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
13.998 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
13.998 * [taylor]: Taking taylor expansion of 1/2 in k
13.998 * [backup-simplify]: Simplify 1/2 into 1/2
13.998 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.998 * [taylor]: Taking taylor expansion of k in k
13.998 * [backup-simplify]: Simplify 0 into 0
13.998 * [backup-simplify]: Simplify 1 into 1
13.999 * [backup-simplify]: Simplify (/ 1 1) into 1
13.999 * [taylor]: Taking taylor expansion of 1 in k
13.999 * [backup-simplify]: Simplify 1 into 1
13.999 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.999 * [taylor]: Taking taylor expansion of -2 in k
13.999 * [backup-simplify]: Simplify -2 into -2
13.999 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.999 * [taylor]: Taking taylor expansion of PI in k
13.999 * [backup-simplify]: Simplify PI into PI
13.999 * [taylor]: Taking taylor expansion of n in k
13.999 * [backup-simplify]: Simplify n into n
13.999 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.999 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.999 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.999 * [backup-simplify]: Simplify (+ 1 0) into 1
13.999 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.000 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.000 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
14.000 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.000 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.000 * [taylor]: Taking taylor expansion of -1 in k
14.000 * [backup-simplify]: Simplify -1 into -1
14.000 * [taylor]: Taking taylor expansion of k in k
14.000 * [backup-simplify]: Simplify 0 into 0
14.000 * [backup-simplify]: Simplify 1 into 1
14.000 * [backup-simplify]: Simplify (/ -1 1) into -1
14.000 * [backup-simplify]: Simplify (sqrt 0) into 0
14.001 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.001 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
14.001 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
14.001 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
14.001 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
14.001 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
14.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
14.001 * [taylor]: Taking taylor expansion of 1/2 in k
14.001 * [backup-simplify]: Simplify 1/2 into 1/2
14.001 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
14.001 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.001 * [taylor]: Taking taylor expansion of k in k
14.001 * [backup-simplify]: Simplify 0 into 0
14.001 * [backup-simplify]: Simplify 1 into 1
14.002 * [backup-simplify]: Simplify (/ 1 1) into 1
14.002 * [taylor]: Taking taylor expansion of 1 in k
14.002 * [backup-simplify]: Simplify 1 into 1
14.002 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
14.002 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
14.002 * [taylor]: Taking taylor expansion of -2 in k
14.002 * [backup-simplify]: Simplify -2 into -2
14.002 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.002 * [taylor]: Taking taylor expansion of PI in k
14.002 * [backup-simplify]: Simplify PI into PI
14.002 * [taylor]: Taking taylor expansion of n in k
14.002 * [backup-simplify]: Simplify n into n
14.002 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.002 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
14.002 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
14.002 * [backup-simplify]: Simplify (+ 1 0) into 1
14.003 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.003 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.003 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
14.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.003 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.003 * [taylor]: Taking taylor expansion of -1 in k
14.003 * [backup-simplify]: Simplify -1 into -1
14.003 * [taylor]: Taking taylor expansion of k in k
14.003 * [backup-simplify]: Simplify 0 into 0
14.003 * [backup-simplify]: Simplify 1 into 1
14.003 * [backup-simplify]: Simplify (/ -1 1) into -1
14.003 * [backup-simplify]: Simplify (sqrt 0) into 0
14.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.004 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
14.004 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.004 * [taylor]: Taking taylor expansion of +nan.0 in n
14.004 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.004 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.004 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.004 * [taylor]: Taking taylor expansion of 1/2 in n
14.004 * [backup-simplify]: Simplify 1/2 into 1/2
14.004 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.004 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.004 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.005 * [taylor]: Taking taylor expansion of -2 in n
14.005 * [backup-simplify]: Simplify -2 into -2
14.005 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.005 * [taylor]: Taking taylor expansion of PI in n
14.005 * [backup-simplify]: Simplify PI into PI
14.005 * [taylor]: Taking taylor expansion of n in n
14.005 * [backup-simplify]: Simplify 0 into 0
14.005 * [backup-simplify]: Simplify 1 into 1
14.005 * [backup-simplify]: Simplify (/ PI 1) into PI
14.005 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.006 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.006 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.006 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.006 * [taylor]: Taking taylor expansion of k in n
14.006 * [backup-simplify]: Simplify k into k
14.006 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.006 * [taylor]: Taking taylor expansion of 1 in n
14.006 * [backup-simplify]: Simplify 1 into 1
14.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.007 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.008 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.008 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.009 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
14.010 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
14.010 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
14.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.013 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
14.013 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
14.013 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.014 * [taylor]: Taking taylor expansion of +nan.0 in n
14.014 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.014 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.014 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.014 * [taylor]: Taking taylor expansion of 1/2 in n
14.014 * [backup-simplify]: Simplify 1/2 into 1/2
14.014 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.014 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.014 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.014 * [taylor]: Taking taylor expansion of -2 in n
14.014 * [backup-simplify]: Simplify -2 into -2
14.014 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.014 * [taylor]: Taking taylor expansion of PI in n
14.014 * [backup-simplify]: Simplify PI into PI
14.014 * [taylor]: Taking taylor expansion of n in n
14.014 * [backup-simplify]: Simplify 0 into 0
14.014 * [backup-simplify]: Simplify 1 into 1
14.014 * [backup-simplify]: Simplify (/ PI 1) into PI
14.014 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.020 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.020 * [taylor]: Taking taylor expansion of k in n
14.020 * [backup-simplify]: Simplify k into k
14.020 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.020 * [taylor]: Taking taylor expansion of 1 in n
14.020 * [backup-simplify]: Simplify 1 into 1
14.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.021 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.022 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.023 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.024 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
14.024 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
14.025 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
14.026 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
14.027 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.027 * [backup-simplify]: Simplify (+ 0 0) into 0
14.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.028 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
14.030 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
14.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
14.032 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.033 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
14.033 * [backup-simplify]: Simplify 0 into 0
14.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.037 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
14.037 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
14.037 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.037 * [taylor]: Taking taylor expansion of +nan.0 in n
14.037 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.037 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.037 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.037 * [taylor]: Taking taylor expansion of 1/2 in n
14.037 * [backup-simplify]: Simplify 1/2 into 1/2
14.037 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.037 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.037 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.037 * [taylor]: Taking taylor expansion of -2 in n
14.037 * [backup-simplify]: Simplify -2 into -2
14.037 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.037 * [taylor]: Taking taylor expansion of PI in n
14.037 * [backup-simplify]: Simplify PI into PI
14.037 * [taylor]: Taking taylor expansion of n in n
14.037 * [backup-simplify]: Simplify 0 into 0
14.037 * [backup-simplify]: Simplify 1 into 1
14.038 * [backup-simplify]: Simplify (/ PI 1) into PI
14.038 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.039 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.039 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.039 * [taylor]: Taking taylor expansion of k in n
14.039 * [backup-simplify]: Simplify k into k
14.039 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.039 * [taylor]: Taking taylor expansion of 1 in n
14.039 * [backup-simplify]: Simplify 1 into 1
14.041 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.041 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.043 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.044 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.045 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
14.046 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
14.047 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
14.049 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
14.053 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
14.053 * * * [progress]: simplifying candidates
14.053 * * * * [progress]: [ 1 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.053 * * * * [progress]: [ 2 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.053 * * * * [progress]: [ 3 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
14.053 * * * * [progress]: [ 4 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
14.053 * * * * [progress]: [ 5 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.053 * * * * [progress]: [ 6 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.053 * * * * [progress]: [ 7 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
14.054 * * * * [progress]: [ 8 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
14.054 * * * * [progress]: [ 9 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
14.054 * * * * [progress]: [ 10 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
14.054 * * * * [progress]: [ 11 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
14.054 * * * * [progress]: [ 12 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
14.054 * * * * [progress]: [ 13 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
14.054 * * * * [progress]: [ 14 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
14.054 * * * * [progress]: [ 15 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
14.054 * * * * [progress]: [ 16 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
14.054 * * * * [progress]: [ 17 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
14.054 * * * * [progress]: [ 18 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
14.054 * * * * [progress]: [ 19 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
14.054 * * * * [progress]: [ 20 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
14.054 * * * * [progress]: [ 21 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
14.055 * * * * [progress]: [ 22 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
14.055 * * * * [progress]: [ 23 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
14.055 * * * * [progress]: [ 24 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
14.055 * * * * [progress]: [ 25 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
14.055 * * * * [progress]: [ 26 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
14.055 * * * * [progress]: [ 27 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
14.055 * * * * [progress]: [ 28 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
14.055 * * * * [progress]: [ 29 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
14.055 * * * * [progress]: [ 30 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
14.055 * * * * [progress]: [ 31 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
14.055 * * * * [progress]: [ 32 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
14.055 * * * * [progress]: [ 33 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
14.055 * * * * [progress]: [ 34 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
14.055 * * * * [progress]: [ 35 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.055 * * * * [progress]: [ 36 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.056 * * * * [progress]: [ 37 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.056 * * * * [progress]: [ 38 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.056 * * * * [progress]: [ 39 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.056 * * * * [progress]: [ 40 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.056 * * * * [progress]: [ 41 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.056 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.056 * * * * [progress]: [ 43 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 44 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 45 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 46 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 47 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 48 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 49 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 50 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 51 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.056 * * * * [progress]: [ 52 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 53 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 54 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 55 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 56 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 57 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 58 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 59 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 60 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 61 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 62 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 63 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 64 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 65 / 196 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 66 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 67 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.057 * * * * [progress]: [ 68 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 69 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 70 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 71 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 72 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 73 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 74 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 75 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 76 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 77 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 78 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 79 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 80 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 81 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 82 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.058 * * * * [progress]: [ 83 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 84 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 85 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 86 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 87 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 88 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 89 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 91 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 92 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 93 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 94 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 95 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 96 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 97 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.059 * * * * [progress]: [ 98 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 99 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 100 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 101 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 102 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 103 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 104 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 105 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 106 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 107 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 108 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 109 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 111 / 196 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.060 * * * * [progress]: [ 112 / 196 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.060 * * * * [progress]: [ 113 / 196 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.060 * * * * [progress]: [ 114 / 196 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
14.061 * * * * [progress]: [ 115 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 116 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 117 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 118 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 119 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.061 * * * * [progress]: [ 120 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 121 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 122 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 123 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 124 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.061 * * * * [progress]: [ 125 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 126 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 127 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 128 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.061 * * * * [progress]: [ 129 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.061 * * * * [progress]: [ 130 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
14.062 * * * * [progress]: [ 131 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
14.062 * * * * [progress]: [ 132 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.062 * * * * [progress]: [ 133 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
14.062 * * * * [progress]: [ 134 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 135 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 136 / 196 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 137 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 138 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 139 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 140 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 141 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.062 * * * * [progress]: [ 142 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
14.062 * * * * [progress]: [ 143 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.062 * * * * [progress]: [ 144 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.063 * * * * [progress]: [ 145 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.063 * * * * [progress]: [ 146 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.063 * * * * [progress]: [ 147 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.063 * * * * [progress]: [ 148 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.063 * * * * [progress]: [ 149 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.063 * * * * [progress]: [ 150 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.063 * * * * [progress]: [ 151 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.063 * * * * [progress]: [ 152 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.063 * * * * [progress]: [ 153 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
14.063 * * * * [progress]: [ 154 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
14.063 * * * * [progress]: [ 155 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.063 * * * * [progress]: [ 156 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.063 * * * * [progress]: [ 157 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.063 * * * * [progress]: [ 158 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
14.064 * * * * [progress]: [ 159 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 160 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 161 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 163 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 164 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 165 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 166 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 167 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 168 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 169 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 170 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.064 * * * * [progress]: [ 171 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 172 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 173 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 174 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 175 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 176 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 177 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 178 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 179 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 180 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
14.065 * * * * [progress]: [ 181 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
14.065 * * * * [progress]: [ 182 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
14.065 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
14.065 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
14.065 * * * * [progress]: [ 185 / 196 ] 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)))))))>
14.065 * * * * [progress]: [ 186 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
14.066 * * * * [progress]: [ 187 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
14.066 * * * * [progress]: [ 188 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 189 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 190 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 191 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 192 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 193 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
14.066 * * * * [progress]: [ 194 / 196 ] 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))))))))))))))>
14.066 * * * * [progress]: [ 195 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
14.066 * * * * [progress]: [ 196 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
14.068 * [simplify]: Simplifying:
  (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (expm1 (* (* 2 PI) n))
  (log1p (* (* 2 PI) n))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (expm1 (/ 1 (sqrt k)))
  (log1p (/ 1 (sqrt k)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
  (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 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 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +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 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
14.071 * * [simplify]: iteration 1: (353 enodes)
14.293 * * [simplify]: iteration 2: (944 enodes)
15.219 * * [simplify]: Extracting #0: cost 103 inf + 0
15.220 * * [simplify]: Extracting #1: cost 467 inf + 3
15.223 * * [simplify]: Extracting #2: cost 822 inf + 6873
15.232 * * [simplify]: Extracting #3: cost 770 inf + 52333
15.262 * * [simplify]: Extracting #4: cost 381 inf + 190636
15.327 * * [simplify]: Extracting #5: cost 130 inf + 295893
15.382 * * [simplify]: Extracting #6: cost 32 inf + 333579
15.443 * * [simplify]: Extracting #7: cost 1 inf + 351188
15.512 * * [simplify]: Extracting #8: cost 0 inf + 345436
15.595 * * [simplify]: Extracting #9: cost 0 inf + 345066
15.653 * * [simplify]: Extracting #10: cost 0 inf + 345026
15.740 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)
  (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)
  (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)
  (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* PI 2) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* n (* n n)) 8) (* PI (* PI PI)))
  (* (* (* (* (* PI 2) (* PI 2)) (* PI 2)) (* n n)) n)
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* 2 (* (* n PI) (* (* (* n PI) (* n PI)) 4)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* (* (* PI 2) (cbrt n)) (cbrt n))
  (* PI (* 2 (sqrt n)))
  (* PI 2)
  (* n PI)
  (real->posit16 (* (* PI 2) n))
  (expm1 (/ 1 (sqrt k)))
  (log1p (/ 1 (sqrt k)))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (/ 1 (sqrt k)) (/ (/ 1 (sqrt k)) (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* k (sqrt k)))
  (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (* (* PI 2) n))
  (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))
  (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k))
  (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (/ 1 (sqrt k))))
  (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt k))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (+ (* -1/2 (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))) (+ (fma (* (log (* PI 2)) 1/4) (* (* (* k k) (log n)) (sqrt (* (* PI 2) n))) (* 1/8 (* (sqrt (* (* PI 2) n)) (* (* (* k k) (log n)) (log n))))) (fma (* (* k k) (* (* (log (* PI 2)) (log (* PI 2))) (sqrt (* (* PI 2) n)))) 1/8 (sqrt (* (* PI 2) n)))))
  (exp (* (* 1/2 (log (* (* PI 2) n))) (- 1 k)))
  (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (+ (- (* (* k k) +nan.0) +nan.0) (* +nan.0 k)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) +nan.0))
  (+ (* (* +nan.0 (sqrt 2)) (- (* (* n PI) k))) (+ (- (* (* n PI) (* +nan.0 (sqrt 2))) (* +nan.0 (* (* (sqrt 2) (log (* PI 2))) (* (* n PI) k)))) (* (* +nan.0 (sqrt 2)) (- (* (* (log n) k) (* PI n)) (* (* PI n) (* PI n))))))
  (+ (- (/ +nan.0 (/ k (exp (* (* 1/2 (log (* (* PI 2) n))) (- 1 k)))))) (- (* +nan.0 (/ (exp (* (* 1/2 (log (* (* PI 2) n))) (- 1 k))) (* k k))) (* (/ +nan.0 k) (/ (exp (* (* 1/2 (log (* (* PI 2) n))) (- 1 k))) (* k k)))))
  (+ (- (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (/ k +nan.0))) (* +nan.0 (- (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
15.765 * * * [progress]: adding candidates to table
17.843 * * [progress]: iteration 3 / 4
17.844 * * * [progress]: picking best candidate
17.876 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))>
17.876 * * * [progress]: localizing error
17.897 * * * [progress]: generating rewritten candidates
17.897 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
17.930 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
17.959 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
17.980 * * * [progress]: generating series expansions
17.980 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
17.980 * [backup-simplify]: Simplify (pow (* (* PI 2) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
17.980 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
17.980 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
17.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
17.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
17.981 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
17.981 * [taylor]: Taking taylor expansion of 1/2 in k
17.981 * [backup-simplify]: Simplify 1/2 into 1/2
17.981 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.981 * [taylor]: Taking taylor expansion of 1 in k
17.981 * [backup-simplify]: Simplify 1 into 1
17.981 * [taylor]: Taking taylor expansion of k in k
17.981 * [backup-simplify]: Simplify 0 into 0
17.981 * [backup-simplify]: Simplify 1 into 1
17.981 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.981 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.981 * [taylor]: Taking taylor expansion of 2 in k
17.981 * [backup-simplify]: Simplify 2 into 2
17.981 * [taylor]: Taking taylor expansion of (* n PI) in k
17.981 * [taylor]: Taking taylor expansion of n in k
17.981 * [backup-simplify]: Simplify n into n
17.981 * [taylor]: Taking taylor expansion of PI in k
17.981 * [backup-simplify]: Simplify PI into PI
17.981 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.981 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.981 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.981 * [backup-simplify]: Simplify (- 0) into 0
17.981 * [backup-simplify]: Simplify (+ 1 0) into 1
17.982 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.982 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.982 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.982 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.982 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.982 * [taylor]: Taking taylor expansion of 1/2 in n
17.982 * [backup-simplify]: Simplify 1/2 into 1/2
17.982 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.982 * [taylor]: Taking taylor expansion of 1 in n
17.982 * [backup-simplify]: Simplify 1 into 1
17.982 * [taylor]: Taking taylor expansion of k in n
17.982 * [backup-simplify]: Simplify k into k
17.982 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.982 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.982 * [taylor]: Taking taylor expansion of 2 in n
17.982 * [backup-simplify]: Simplify 2 into 2
17.982 * [taylor]: Taking taylor expansion of (* n PI) in n
17.982 * [taylor]: Taking taylor expansion of n in n
17.982 * [backup-simplify]: Simplify 0 into 0
17.982 * [backup-simplify]: Simplify 1 into 1
17.982 * [taylor]: Taking taylor expansion of PI in n
17.982 * [backup-simplify]: Simplify PI into PI
17.983 * [backup-simplify]: Simplify (* 0 PI) into 0
17.983 * [backup-simplify]: Simplify (* 2 0) into 0
17.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.985 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.986 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.986 * [backup-simplify]: Simplify (- k) into (- k)
17.986 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.986 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.987 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.988 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.988 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
17.988 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
17.988 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
17.988 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
17.988 * [taylor]: Taking taylor expansion of 1/2 in n
17.988 * [backup-simplify]: Simplify 1/2 into 1/2
17.988 * [taylor]: Taking taylor expansion of (- 1 k) in n
17.988 * [taylor]: Taking taylor expansion of 1 in n
17.988 * [backup-simplify]: Simplify 1 into 1
17.988 * [taylor]: Taking taylor expansion of k in n
17.988 * [backup-simplify]: Simplify k into k
17.988 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.988 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.988 * [taylor]: Taking taylor expansion of 2 in n
17.988 * [backup-simplify]: Simplify 2 into 2
17.988 * [taylor]: Taking taylor expansion of (* n PI) in n
17.988 * [taylor]: Taking taylor expansion of n in n
17.988 * [backup-simplify]: Simplify 0 into 0
17.988 * [backup-simplify]: Simplify 1 into 1
17.988 * [taylor]: Taking taylor expansion of PI in n
17.988 * [backup-simplify]: Simplify PI into PI
17.989 * [backup-simplify]: Simplify (* 0 PI) into 0
17.989 * [backup-simplify]: Simplify (* 2 0) into 0
17.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.991 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.992 * [backup-simplify]: Simplify (- k) into (- k)
17.992 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
17.992 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
17.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.993 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
17.994 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
17.994 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
17.994 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
17.994 * [taylor]: Taking taylor expansion of 1/2 in k
17.994 * [backup-simplify]: Simplify 1/2 into 1/2
17.994 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
17.994 * [taylor]: Taking taylor expansion of (- 1 k) in k
17.994 * [taylor]: Taking taylor expansion of 1 in k
17.994 * [backup-simplify]: Simplify 1 into 1
17.994 * [taylor]: Taking taylor expansion of k in k
17.994 * [backup-simplify]: Simplify 0 into 0
17.994 * [backup-simplify]: Simplify 1 into 1
17.994 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
17.994 * [taylor]: Taking taylor expansion of (log n) in k
17.994 * [taylor]: Taking taylor expansion of n in k
17.994 * [backup-simplify]: Simplify n into n
17.994 * [backup-simplify]: Simplify (log n) into (log n)
17.994 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.994 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.994 * [taylor]: Taking taylor expansion of 2 in k
17.994 * [backup-simplify]: Simplify 2 into 2
17.994 * [taylor]: Taking taylor expansion of PI in k
17.994 * [backup-simplify]: Simplify PI into PI
17.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.995 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.996 * [backup-simplify]: Simplify (- 0) into 0
17.996 * [backup-simplify]: Simplify (+ 1 0) into 1
17.997 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.997 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
17.998 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
17.999 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.999 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
18.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
18.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
18.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.002 * [backup-simplify]: Simplify (- 0) into 0
18.002 * [backup-simplify]: Simplify (+ 0 0) into 0
18.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
18.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.005 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
18.007 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.007 * [taylor]: Taking taylor expansion of 0 in k
18.007 * [backup-simplify]: Simplify 0 into 0
18.007 * [backup-simplify]: Simplify 0 into 0
18.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
18.008 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.010 * [backup-simplify]: Simplify (+ 0 0) into 0
18.011 * [backup-simplify]: Simplify (- 1) into -1
18.011 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.012 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
18.013 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
18.015 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
18.017 * [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)))))))
18.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
18.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
18.022 * [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
18.022 * [backup-simplify]: Simplify (- 0) into 0
18.022 * [backup-simplify]: Simplify (+ 0 0) into 0
18.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
18.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.025 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.026 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.026 * [taylor]: Taking taylor expansion of 0 in k
18.026 * [backup-simplify]: Simplify 0 into 0
18.026 * [backup-simplify]: Simplify 0 into 0
18.026 * [backup-simplify]: Simplify 0 into 0
18.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
18.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
18.030 * [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
18.030 * [backup-simplify]: Simplify (+ 0 0) into 0
18.030 * [backup-simplify]: Simplify (- 0) into 0
18.030 * [backup-simplify]: Simplify (+ 0 0) into 0
18.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.035 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
18.039 * [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)))))
18.049 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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)))))
18.050 * [backup-simplify]: Simplify (pow (* (* PI 2) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
18.050 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
18.050 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
18.050 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
18.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
18.050 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
18.050 * [taylor]: Taking taylor expansion of 1/2 in k
18.050 * [backup-simplify]: Simplify 1/2 into 1/2
18.050 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.050 * [taylor]: Taking taylor expansion of 1 in k
18.050 * [backup-simplify]: Simplify 1 into 1
18.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.050 * [taylor]: Taking taylor expansion of k in k
18.050 * [backup-simplify]: Simplify 0 into 0
18.050 * [backup-simplify]: Simplify 1 into 1
18.050 * [backup-simplify]: Simplify (/ 1 1) into 1
18.050 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
18.050 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
18.050 * [taylor]: Taking taylor expansion of 2 in k
18.050 * [backup-simplify]: Simplify 2 into 2
18.050 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.051 * [taylor]: Taking taylor expansion of PI in k
18.051 * [backup-simplify]: Simplify PI into PI
18.051 * [taylor]: Taking taylor expansion of n in k
18.051 * [backup-simplify]: Simplify n into n
18.051 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.051 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
18.051 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
18.051 * [backup-simplify]: Simplify (- 1) into -1
18.052 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.052 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
18.052 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
18.052 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
18.052 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
18.052 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
18.052 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
18.052 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
18.052 * [taylor]: Taking taylor expansion of 1/2 in n
18.053 * [backup-simplify]: Simplify 1/2 into 1/2
18.053 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.053 * [taylor]: Taking taylor expansion of 1 in n
18.053 * [backup-simplify]: Simplify 1 into 1
18.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.053 * [taylor]: Taking taylor expansion of k in n
18.053 * [backup-simplify]: Simplify k into k
18.053 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.053 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.053 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.053 * [taylor]: Taking taylor expansion of 2 in n
18.053 * [backup-simplify]: Simplify 2 into 2
18.053 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.053 * [taylor]: Taking taylor expansion of PI in n
18.053 * [backup-simplify]: Simplify PI into PI
18.053 * [taylor]: Taking taylor expansion of n in n
18.053 * [backup-simplify]: Simplify 0 into 0
18.053 * [backup-simplify]: Simplify 1 into 1
18.053 * [backup-simplify]: Simplify (/ PI 1) into PI
18.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.055 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.055 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.055 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.055 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
18.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.058 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.059 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.059 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
18.059 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
18.059 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
18.059 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
18.059 * [taylor]: Taking taylor expansion of 1/2 in n
18.059 * [backup-simplify]: Simplify 1/2 into 1/2
18.059 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.059 * [taylor]: Taking taylor expansion of 1 in n
18.059 * [backup-simplify]: Simplify 1 into 1
18.059 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.059 * [taylor]: Taking taylor expansion of k in n
18.059 * [backup-simplify]: Simplify k into k
18.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.060 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.060 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.060 * [taylor]: Taking taylor expansion of 2 in n
18.060 * [backup-simplify]: Simplify 2 into 2
18.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.060 * [taylor]: Taking taylor expansion of PI in n
18.060 * [backup-simplify]: Simplify PI into PI
18.060 * [taylor]: Taking taylor expansion of n in n
18.060 * [backup-simplify]: Simplify 0 into 0
18.060 * [backup-simplify]: Simplify 1 into 1
18.060 * [backup-simplify]: Simplify (/ PI 1) into PI
18.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.062 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.062 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.062 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
18.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.065 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.066 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.066 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
18.066 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
18.066 * [taylor]: Taking taylor expansion of 1/2 in k
18.066 * [backup-simplify]: Simplify 1/2 into 1/2
18.066 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
18.066 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.066 * [taylor]: Taking taylor expansion of 1 in k
18.066 * [backup-simplify]: Simplify 1 into 1
18.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.066 * [taylor]: Taking taylor expansion of k in k
18.066 * [backup-simplify]: Simplify 0 into 0
18.066 * [backup-simplify]: Simplify 1 into 1
18.067 * [backup-simplify]: Simplify (/ 1 1) into 1
18.067 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
18.067 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
18.067 * [taylor]: Taking taylor expansion of (* 2 PI) in k
18.067 * [taylor]: Taking taylor expansion of 2 in k
18.067 * [backup-simplify]: Simplify 2 into 2
18.067 * [taylor]: Taking taylor expansion of PI in k
18.067 * [backup-simplify]: Simplify PI into PI
18.067 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.069 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.069 * [taylor]: Taking taylor expansion of (log n) in k
18.069 * [taylor]: Taking taylor expansion of n in k
18.069 * [backup-simplify]: Simplify n into n
18.069 * [backup-simplify]: Simplify (log n) into (log n)
18.069 * [backup-simplify]: Simplify (- 1) into -1
18.070 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.070 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.071 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
18.072 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
18.081 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
18.083 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.084 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.088 * [backup-simplify]: Simplify (- 0) into 0
18.088 * [backup-simplify]: Simplify (+ 0 0) into 0
18.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
18.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.092 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
18.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.094 * [taylor]: Taking taylor expansion of 0 in k
18.094 * [backup-simplify]: Simplify 0 into 0
18.094 * [backup-simplify]: Simplify 0 into 0
18.094 * [backup-simplify]: Simplify 0 into 0
18.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
18.100 * [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
18.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.100 * [backup-simplify]: Simplify (- 0) into 0
18.101 * [backup-simplify]: Simplify (+ 0 0) into 0
18.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
18.103 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.104 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
18.107 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.107 * [taylor]: Taking taylor expansion of 0 in k
18.107 * [backup-simplify]: Simplify 0 into 0
18.107 * [backup-simplify]: Simplify 0 into 0
18.107 * [backup-simplify]: Simplify 0 into 0
18.107 * [backup-simplify]: Simplify 0 into 0
18.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.116 * [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
18.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.117 * [backup-simplify]: Simplify (- 0) into 0
18.118 * [backup-simplify]: Simplify (+ 0 0) into 0
18.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
18.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
18.126 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.126 * [taylor]: Taking taylor expansion of 0 in k
18.126 * [backup-simplify]: Simplify 0 into 0
18.126 * [backup-simplify]: Simplify 0 into 0
18.128 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
18.128 * [backup-simplify]: Simplify (pow (* (* PI 2) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
18.128 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
18.128 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
18.128 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
18.128 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
18.128 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
18.128 * [taylor]: Taking taylor expansion of 1/2 in k
18.128 * [backup-simplify]: Simplify 1/2 into 1/2
18.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.129 * [taylor]: Taking taylor expansion of k in k
18.129 * [backup-simplify]: Simplify 0 into 0
18.129 * [backup-simplify]: Simplify 1 into 1
18.129 * [backup-simplify]: Simplify (/ 1 1) into 1
18.129 * [taylor]: Taking taylor expansion of 1 in k
18.129 * [backup-simplify]: Simplify 1 into 1
18.129 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.129 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.129 * [taylor]: Taking taylor expansion of -2 in k
18.129 * [backup-simplify]: Simplify -2 into -2
18.129 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.129 * [taylor]: Taking taylor expansion of PI in k
18.129 * [backup-simplify]: Simplify PI into PI
18.129 * [taylor]: Taking taylor expansion of n in k
18.129 * [backup-simplify]: Simplify n into n
18.129 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.129 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.129 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.130 * [backup-simplify]: Simplify (+ 1 0) into 1
18.130 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.131 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.131 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
18.131 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
18.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
18.131 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
18.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
18.131 * [taylor]: Taking taylor expansion of 1/2 in n
18.131 * [backup-simplify]: Simplify 1/2 into 1/2
18.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.131 * [taylor]: Taking taylor expansion of k in n
18.131 * [backup-simplify]: Simplify k into k
18.131 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.131 * [taylor]: Taking taylor expansion of 1 in n
18.131 * [backup-simplify]: Simplify 1 into 1
18.131 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.131 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.131 * [taylor]: Taking taylor expansion of -2 in n
18.131 * [backup-simplify]: Simplify -2 into -2
18.131 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.131 * [taylor]: Taking taylor expansion of PI in n
18.131 * [backup-simplify]: Simplify PI into PI
18.131 * [taylor]: Taking taylor expansion of n in n
18.131 * [backup-simplify]: Simplify 0 into 0
18.131 * [backup-simplify]: Simplify 1 into 1
18.132 * [backup-simplify]: Simplify (/ PI 1) into PI
18.132 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.134 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.134 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.134 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
18.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.136 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.138 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.138 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
18.138 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
18.138 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
18.138 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
18.138 * [taylor]: Taking taylor expansion of 1/2 in n
18.138 * [backup-simplify]: Simplify 1/2 into 1/2
18.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.138 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.138 * [taylor]: Taking taylor expansion of k in n
18.138 * [backup-simplify]: Simplify k into k
18.138 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.138 * [taylor]: Taking taylor expansion of 1 in n
18.138 * [backup-simplify]: Simplify 1 into 1
18.138 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.138 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.138 * [taylor]: Taking taylor expansion of -2 in n
18.138 * [backup-simplify]: Simplify -2 into -2
18.138 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.138 * [taylor]: Taking taylor expansion of PI in n
18.138 * [backup-simplify]: Simplify PI into PI
18.138 * [taylor]: Taking taylor expansion of n in n
18.138 * [backup-simplify]: Simplify 0 into 0
18.138 * [backup-simplify]: Simplify 1 into 1
18.139 * [backup-simplify]: Simplify (/ PI 1) into PI
18.139 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.140 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.140 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.140 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
18.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.143 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.145 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.145 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
18.145 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
18.145 * [taylor]: Taking taylor expansion of 1/2 in k
18.145 * [backup-simplify]: Simplify 1/2 into 1/2
18.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
18.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.145 * [taylor]: Taking taylor expansion of k in k
18.145 * [backup-simplify]: Simplify 0 into 0
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [backup-simplify]: Simplify (/ 1 1) into 1
18.145 * [taylor]: Taking taylor expansion of 1 in k
18.145 * [backup-simplify]: Simplify 1 into 1
18.145 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
18.146 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
18.146 * [taylor]: Taking taylor expansion of (* -2 PI) in k
18.146 * [taylor]: Taking taylor expansion of -2 in k
18.146 * [backup-simplify]: Simplify -2 into -2
18.146 * [taylor]: Taking taylor expansion of PI in k
18.146 * [backup-simplify]: Simplify PI into PI
18.146 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.147 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.147 * [taylor]: Taking taylor expansion of (log n) in k
18.147 * [taylor]: Taking taylor expansion of n in k
18.147 * [backup-simplify]: Simplify n into n
18.147 * [backup-simplify]: Simplify (log n) into (log n)
18.148 * [backup-simplify]: Simplify (+ 1 0) into 1
18.148 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.149 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
18.150 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
18.151 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
18.153 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.154 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.156 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
18.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
18.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.158 * [backup-simplify]: Simplify (+ 0 0) into 0
18.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
18.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.160 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
18.161 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.161 * [taylor]: Taking taylor expansion of 0 in k
18.161 * [backup-simplify]: Simplify 0 into 0
18.161 * [backup-simplify]: Simplify 0 into 0
18.161 * [backup-simplify]: Simplify 0 into 0
18.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
18.165 * [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
18.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.165 * [backup-simplify]: Simplify (+ 0 0) into 0
18.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
18.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
18.169 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.169 * [taylor]: Taking taylor expansion of 0 in k
18.169 * [backup-simplify]: Simplify 0 into 0
18.169 * [backup-simplify]: Simplify 0 into 0
18.169 * [backup-simplify]: Simplify 0 into 0
18.169 * [backup-simplify]: Simplify 0 into 0
18.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.170 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.173 * [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
18.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.174 * [backup-simplify]: Simplify (+ 0 0) into 0
18.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
18.176 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.177 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
18.178 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.178 * [taylor]: Taking taylor expansion of 0 in k
18.178 * [backup-simplify]: Simplify 0 into 0
18.178 * [backup-simplify]: Simplify 0 into 0
18.179 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
18.179 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
18.180 * [backup-simplify]: Simplify (* (* PI 2) n) into (* 2 (* n PI))
18.180 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
18.180 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
18.180 * [taylor]: Taking taylor expansion of 2 in n
18.180 * [backup-simplify]: Simplify 2 into 2
18.180 * [taylor]: Taking taylor expansion of (* n PI) in n
18.180 * [taylor]: Taking taylor expansion of n in n
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 1 into 1
18.180 * [taylor]: Taking taylor expansion of PI in n
18.180 * [backup-simplify]: Simplify PI into PI
18.180 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
18.180 * [taylor]: Taking taylor expansion of 2 in n
18.180 * [backup-simplify]: Simplify 2 into 2
18.180 * [taylor]: Taking taylor expansion of (* n PI) in n
18.180 * [taylor]: Taking taylor expansion of n in n
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 1 into 1
18.180 * [taylor]: Taking taylor expansion of PI in n
18.180 * [backup-simplify]: Simplify PI into PI
18.180 * [backup-simplify]: Simplify (* 0 PI) into 0
18.181 * [backup-simplify]: Simplify (* 2 0) into 0
18.181 * [backup-simplify]: Simplify 0 into 0
18.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
18.183 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
18.183 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
18.186 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
18.186 * [backup-simplify]: Simplify 0 into 0
18.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
18.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
18.188 * [backup-simplify]: Simplify 0 into 0
18.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
18.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
18.191 * [backup-simplify]: Simplify 0 into 0
18.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
18.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
18.194 * [backup-simplify]: Simplify 0 into 0
18.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
18.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
18.198 * [backup-simplify]: Simplify 0 into 0
18.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
18.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
18.202 * [backup-simplify]: Simplify 0 into 0
18.202 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
18.203 * [backup-simplify]: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n))
18.203 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
18.203 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.203 * [taylor]: Taking taylor expansion of 2 in n
18.203 * [backup-simplify]: Simplify 2 into 2
18.203 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.203 * [taylor]: Taking taylor expansion of PI in n
18.203 * [backup-simplify]: Simplify PI into PI
18.203 * [taylor]: Taking taylor expansion of n in n
18.203 * [backup-simplify]: Simplify 0 into 0
18.203 * [backup-simplify]: Simplify 1 into 1
18.203 * [backup-simplify]: Simplify (/ PI 1) into PI
18.203 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.203 * [taylor]: Taking taylor expansion of 2 in n
18.203 * [backup-simplify]: Simplify 2 into 2
18.203 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.203 * [taylor]: Taking taylor expansion of PI in n
18.203 * [backup-simplify]: Simplify PI into PI
18.203 * [taylor]: Taking taylor expansion of n in n
18.203 * [backup-simplify]: Simplify 0 into 0
18.203 * [backup-simplify]: Simplify 1 into 1
18.204 * [backup-simplify]: Simplify (/ PI 1) into PI
18.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.205 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.205 * [backup-simplify]: Simplify 0 into 0
18.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
18.207 * [backup-simplify]: Simplify 0 into 0
18.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.208 * [backup-simplify]: Simplify 0 into 0
18.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
18.215 * [backup-simplify]: Simplify 0 into 0
18.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
18.216 * [backup-simplify]: Simplify 0 into 0
18.217 * [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
18.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
18.218 * [backup-simplify]: Simplify 0 into 0
18.218 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
18.219 * [backup-simplify]: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n))
18.219 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
18.219 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.219 * [taylor]: Taking taylor expansion of -2 in n
18.219 * [backup-simplify]: Simplify -2 into -2
18.219 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.219 * [taylor]: Taking taylor expansion of PI in n
18.219 * [backup-simplify]: Simplify PI into PI
18.219 * [taylor]: Taking taylor expansion of n in n
18.219 * [backup-simplify]: Simplify 0 into 0
18.219 * [backup-simplify]: Simplify 1 into 1
18.219 * [backup-simplify]: Simplify (/ PI 1) into PI
18.219 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.219 * [taylor]: Taking taylor expansion of -2 in n
18.219 * [backup-simplify]: Simplify -2 into -2
18.219 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.219 * [taylor]: Taking taylor expansion of PI in n
18.219 * [backup-simplify]: Simplify PI into PI
18.219 * [taylor]: Taking taylor expansion of n in n
18.219 * [backup-simplify]: Simplify 0 into 0
18.219 * [backup-simplify]: Simplify 1 into 1
18.220 * [backup-simplify]: Simplify (/ PI 1) into PI
18.220 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.220 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.221 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
18.221 * [backup-simplify]: Simplify 0 into 0
18.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.223 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
18.223 * [backup-simplify]: Simplify 0 into 0
18.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.224 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.224 * [backup-simplify]: Simplify 0 into 0
18.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.226 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
18.226 * [backup-simplify]: Simplify 0 into 0
18.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.227 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
18.227 * [backup-simplify]: Simplify 0 into 0
18.228 * [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
18.229 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
18.229 * [backup-simplify]: Simplify 0 into 0
18.229 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
18.229 * * * * [progress]: [ 3 / 3 ] generating series at (2)
18.230 * [backup-simplify]: Simplify (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
18.230 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
18.230 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
18.230 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
18.230 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
18.230 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
18.230 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
18.230 * [taylor]: Taking taylor expansion of 1/2 in k
18.230 * [backup-simplify]: Simplify 1/2 into 1/2
18.230 * [taylor]: Taking taylor expansion of (- 1 k) in k
18.230 * [taylor]: Taking taylor expansion of 1 in k
18.230 * [backup-simplify]: Simplify 1 into 1
18.230 * [taylor]: Taking taylor expansion of k in k
18.230 * [backup-simplify]: Simplify 0 into 0
18.230 * [backup-simplify]: Simplify 1 into 1
18.230 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
18.230 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
18.230 * [taylor]: Taking taylor expansion of 2 in k
18.230 * [backup-simplify]: Simplify 2 into 2
18.230 * [taylor]: Taking taylor expansion of (* n PI) in k
18.230 * [taylor]: Taking taylor expansion of n in k
18.230 * [backup-simplify]: Simplify n into n
18.230 * [taylor]: Taking taylor expansion of PI in k
18.230 * [backup-simplify]: Simplify PI into PI
18.230 * [backup-simplify]: Simplify (* n PI) into (* n PI)
18.230 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
18.230 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
18.231 * [backup-simplify]: Simplify (- 0) into 0
18.231 * [backup-simplify]: Simplify (+ 1 0) into 1
18.231 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.231 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
18.231 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
18.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
18.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.231 * [taylor]: Taking taylor expansion of k in k
18.231 * [backup-simplify]: Simplify 0 into 0
18.231 * [backup-simplify]: Simplify 1 into 1
18.232 * [backup-simplify]: Simplify (/ 1 1) into 1
18.232 * [backup-simplify]: Simplify (sqrt 0) into 0
18.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.233 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
18.233 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
18.233 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
18.233 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
18.233 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
18.233 * [taylor]: Taking taylor expansion of 1/2 in n
18.233 * [backup-simplify]: Simplify 1/2 into 1/2
18.233 * [taylor]: Taking taylor expansion of (- 1 k) in n
18.233 * [taylor]: Taking taylor expansion of 1 in n
18.233 * [backup-simplify]: Simplify 1 into 1
18.233 * [taylor]: Taking taylor expansion of k in n
18.233 * [backup-simplify]: Simplify k into k
18.233 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
18.233 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
18.233 * [taylor]: Taking taylor expansion of 2 in n
18.233 * [backup-simplify]: Simplify 2 into 2
18.233 * [taylor]: Taking taylor expansion of (* n PI) in n
18.233 * [taylor]: Taking taylor expansion of n in n
18.233 * [backup-simplify]: Simplify 0 into 0
18.233 * [backup-simplify]: Simplify 1 into 1
18.233 * [taylor]: Taking taylor expansion of PI in n
18.233 * [backup-simplify]: Simplify PI into PI
18.233 * [backup-simplify]: Simplify (* 0 PI) into 0
18.234 * [backup-simplify]: Simplify (* 2 0) into 0
18.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
18.236 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
18.236 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.236 * [backup-simplify]: Simplify (- k) into (- k)
18.236 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
18.236 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
18.237 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.238 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
18.239 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
18.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
18.239 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.239 * [taylor]: Taking taylor expansion of k in n
18.239 * [backup-simplify]: Simplify k into k
18.239 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.239 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
18.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
18.239 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
18.239 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
18.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
18.239 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
18.239 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
18.239 * [taylor]: Taking taylor expansion of 1/2 in n
18.239 * [backup-simplify]: Simplify 1/2 into 1/2
18.239 * [taylor]: Taking taylor expansion of (- 1 k) in n
18.239 * [taylor]: Taking taylor expansion of 1 in n
18.239 * [backup-simplify]: Simplify 1 into 1
18.239 * [taylor]: Taking taylor expansion of k in n
18.239 * [backup-simplify]: Simplify k into k
18.239 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
18.239 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
18.239 * [taylor]: Taking taylor expansion of 2 in n
18.239 * [backup-simplify]: Simplify 2 into 2
18.239 * [taylor]: Taking taylor expansion of (* n PI) in n
18.239 * [taylor]: Taking taylor expansion of n in n
18.239 * [backup-simplify]: Simplify 0 into 0
18.239 * [backup-simplify]: Simplify 1 into 1
18.239 * [taylor]: Taking taylor expansion of PI in n
18.239 * [backup-simplify]: Simplify PI into PI
18.240 * [backup-simplify]: Simplify (* 0 PI) into 0
18.240 * [backup-simplify]: Simplify (* 2 0) into 0
18.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
18.242 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
18.243 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.243 * [backup-simplify]: Simplify (- k) into (- k)
18.243 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
18.243 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
18.244 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.244 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
18.245 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
18.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
18.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.245 * [taylor]: Taking taylor expansion of k in n
18.245 * [backup-simplify]: Simplify k into k
18.245 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.245 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
18.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
18.246 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
18.246 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
18.246 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
18.246 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
18.246 * [taylor]: Taking taylor expansion of 1/2 in k
18.246 * [backup-simplify]: Simplify 1/2 into 1/2
18.246 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
18.246 * [taylor]: Taking taylor expansion of (- 1 k) in k
18.246 * [taylor]: Taking taylor expansion of 1 in k
18.246 * [backup-simplify]: Simplify 1 into 1
18.246 * [taylor]: Taking taylor expansion of k in k
18.247 * [backup-simplify]: Simplify 0 into 0
18.247 * [backup-simplify]: Simplify 1 into 1
18.247 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
18.247 * [taylor]: Taking taylor expansion of (log n) in k
18.247 * [taylor]: Taking taylor expansion of n in k
18.247 * [backup-simplify]: Simplify n into n
18.247 * [backup-simplify]: Simplify (log n) into (log n)
18.247 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
18.247 * [taylor]: Taking taylor expansion of (* 2 PI) in k
18.247 * [taylor]: Taking taylor expansion of 2 in k
18.247 * [backup-simplify]: Simplify 2 into 2
18.247 * [taylor]: Taking taylor expansion of PI in k
18.247 * [backup-simplify]: Simplify PI into PI
18.247 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.248 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.248 * [backup-simplify]: Simplify (- 0) into 0
18.248 * [backup-simplify]: Simplify (+ 1 0) into 1
18.249 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.249 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
18.250 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
18.251 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
18.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
18.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.251 * [taylor]: Taking taylor expansion of k in k
18.251 * [backup-simplify]: Simplify 0 into 0
18.251 * [backup-simplify]: Simplify 1 into 1
18.251 * [backup-simplify]: Simplify (/ 1 1) into 1
18.251 * [backup-simplify]: Simplify (sqrt 0) into 0
18.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.253 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
18.253 * [backup-simplify]: Simplify 0 into 0
18.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
18.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
18.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.256 * [backup-simplify]: Simplify (- 0) into 0
18.256 * [backup-simplify]: Simplify (+ 0 0) into 0
18.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
18.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.258 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
18.259 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.260 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
18.260 * [taylor]: Taking taylor expansion of 0 in k
18.260 * [backup-simplify]: Simplify 0 into 0
18.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
18.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.262 * [backup-simplify]: Simplify (+ 0 0) into 0
18.262 * [backup-simplify]: Simplify (- 1) into -1
18.262 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.263 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
18.265 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
18.267 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
18.269 * [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)))))))
18.270 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
18.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
18.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
18.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
18.274 * [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
18.274 * [backup-simplify]: Simplify (- 0) into 0
18.274 * [backup-simplify]: Simplify (+ 0 0) into 0
18.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
18.276 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.277 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.278 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.279 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
18.280 * [taylor]: Taking taylor expansion of 0 in k
18.280 * [backup-simplify]: Simplify 0 into 0
18.280 * [backup-simplify]: Simplify 0 into 0
18.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
18.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
18.285 * [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
18.286 * [backup-simplify]: Simplify (+ 0 0) into 0
18.286 * [backup-simplify]: Simplify (- 0) into 0
18.286 * [backup-simplify]: Simplify (+ 0 0) into 0
18.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
18.291 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
18.299 * [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))))))))
18.312 * [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))))))))
18.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
18.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
18.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
18.323 * [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
18.323 * [backup-simplify]: Simplify (- 0) into 0
18.323 * [backup-simplify]: Simplify (+ 0 0) into 0
18.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
18.326 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
18.327 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
18.329 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.330 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
18.330 * [taylor]: Taking taylor expansion of 0 in k
18.330 * [backup-simplify]: Simplify 0 into 0
18.330 * [backup-simplify]: Simplify 0 into 0
18.330 * [backup-simplify]: Simplify 0 into 0
18.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.335 * [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
18.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.339 * [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
18.339 * [backup-simplify]: Simplify (+ 0 0) into 0
18.339 * [backup-simplify]: Simplify (- 0) into 0
18.340 * [backup-simplify]: Simplify (+ 0 0) into 0
18.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
18.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
18.347 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
18.357 * [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))))))))))))))
18.369 * [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))))))))))))))
18.388 * [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))))))))))))))))))))))
18.390 * [backup-simplify]: Simplify (/ (pow (* (* PI 2) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
18.390 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
18.390 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
18.390 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
18.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
18.390 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
18.390 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
18.390 * [taylor]: Taking taylor expansion of 1/2 in k
18.390 * [backup-simplify]: Simplify 1/2 into 1/2
18.390 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.390 * [taylor]: Taking taylor expansion of 1 in k
18.390 * [backup-simplify]: Simplify 1 into 1
18.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.390 * [taylor]: Taking taylor expansion of k in k
18.390 * [backup-simplify]: Simplify 0 into 0
18.390 * [backup-simplify]: Simplify 1 into 1
18.390 * [backup-simplify]: Simplify (/ 1 1) into 1
18.390 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
18.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
18.390 * [taylor]: Taking taylor expansion of 2 in k
18.390 * [backup-simplify]: Simplify 2 into 2
18.391 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.391 * [taylor]: Taking taylor expansion of PI in k
18.391 * [backup-simplify]: Simplify PI into PI
18.391 * [taylor]: Taking taylor expansion of n in k
18.391 * [backup-simplify]: Simplify n into n
18.391 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.391 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
18.391 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
18.391 * [backup-simplify]: Simplify (- 1) into -1
18.392 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.392 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
18.392 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
18.393 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
18.393 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.393 * [taylor]: Taking taylor expansion of k in k
18.393 * [backup-simplify]: Simplify 0 into 0
18.393 * [backup-simplify]: Simplify 1 into 1
18.393 * [backup-simplify]: Simplify (sqrt 0) into 0
18.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.395 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
18.395 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
18.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
18.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
18.395 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
18.395 * [taylor]: Taking taylor expansion of 1/2 in n
18.395 * [backup-simplify]: Simplify 1/2 into 1/2
18.395 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.395 * [taylor]: Taking taylor expansion of 1 in n
18.395 * [backup-simplify]: Simplify 1 into 1
18.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.395 * [taylor]: Taking taylor expansion of k in n
18.395 * [backup-simplify]: Simplify k into k
18.395 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.395 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.395 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.395 * [taylor]: Taking taylor expansion of 2 in n
18.395 * [backup-simplify]: Simplify 2 into 2
18.395 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.395 * [taylor]: Taking taylor expansion of PI in n
18.395 * [backup-simplify]: Simplify PI into PI
18.395 * [taylor]: Taking taylor expansion of n in n
18.395 * [backup-simplify]: Simplify 0 into 0
18.395 * [backup-simplify]: Simplify 1 into 1
18.396 * [backup-simplify]: Simplify (/ PI 1) into PI
18.396 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.398 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.398 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.398 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.398 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
18.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.400 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.402 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.402 * [taylor]: Taking taylor expansion of (sqrt k) in n
18.402 * [taylor]: Taking taylor expansion of k in n
18.402 * [backup-simplify]: Simplify k into k
18.402 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
18.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
18.402 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
18.402 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
18.402 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
18.402 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
18.402 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
18.402 * [taylor]: Taking taylor expansion of 1/2 in n
18.402 * [backup-simplify]: Simplify 1/2 into 1/2
18.402 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
18.402 * [taylor]: Taking taylor expansion of 1 in n
18.402 * [backup-simplify]: Simplify 1 into 1
18.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.402 * [taylor]: Taking taylor expansion of k in n
18.402 * [backup-simplify]: Simplify k into k
18.402 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.402 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
18.402 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
18.402 * [taylor]: Taking taylor expansion of 2 in n
18.403 * [backup-simplify]: Simplify 2 into 2
18.403 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.403 * [taylor]: Taking taylor expansion of PI in n
18.403 * [backup-simplify]: Simplify PI into PI
18.403 * [taylor]: Taking taylor expansion of n in n
18.403 * [backup-simplify]: Simplify 0 into 0
18.403 * [backup-simplify]: Simplify 1 into 1
18.403 * [backup-simplify]: Simplify (/ PI 1) into PI
18.404 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.405 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.405 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
18.405 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
18.405 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
18.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.408 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
18.409 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.409 * [taylor]: Taking taylor expansion of (sqrt k) in n
18.409 * [taylor]: Taking taylor expansion of k in n
18.409 * [backup-simplify]: Simplify k into k
18.409 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
18.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
18.410 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
18.410 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
18.410 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
18.410 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
18.410 * [taylor]: Taking taylor expansion of 1/2 in k
18.411 * [backup-simplify]: Simplify 1/2 into 1/2
18.411 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
18.411 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
18.411 * [taylor]: Taking taylor expansion of 1 in k
18.411 * [backup-simplify]: Simplify 1 into 1
18.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.411 * [taylor]: Taking taylor expansion of k in k
18.411 * [backup-simplify]: Simplify 0 into 0
18.411 * [backup-simplify]: Simplify 1 into 1
18.411 * [backup-simplify]: Simplify (/ 1 1) into 1
18.411 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
18.411 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
18.411 * [taylor]: Taking taylor expansion of (* 2 PI) in k
18.411 * [taylor]: Taking taylor expansion of 2 in k
18.411 * [backup-simplify]: Simplify 2 into 2
18.411 * [taylor]: Taking taylor expansion of PI in k
18.411 * [backup-simplify]: Simplify PI into PI
18.412 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.413 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.413 * [taylor]: Taking taylor expansion of (log n) in k
18.413 * [taylor]: Taking taylor expansion of n in k
18.413 * [backup-simplify]: Simplify n into n
18.413 * [backup-simplify]: Simplify (log n) into (log n)
18.413 * [backup-simplify]: Simplify (- 1) into -1
18.414 * [backup-simplify]: Simplify (+ 0 -1) into -1
18.414 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.415 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
18.416 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
18.417 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
18.418 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
18.418 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.418 * [taylor]: Taking taylor expansion of k in k
18.418 * [backup-simplify]: Simplify 0 into 0
18.419 * [backup-simplify]: Simplify 1 into 1
18.419 * [backup-simplify]: Simplify (sqrt 0) into 0
18.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
18.421 * [backup-simplify]: Simplify 0 into 0
18.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.423 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
18.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
18.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.433 * [backup-simplify]: Simplify (- 0) into 0
18.434 * [backup-simplify]: Simplify (+ 0 0) into 0
18.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
18.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.437 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
18.439 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.440 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
18.440 * [taylor]: Taking taylor expansion of 0 in k
18.440 * [backup-simplify]: Simplify 0 into 0
18.440 * [backup-simplify]: Simplify 0 into 0
18.442 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.444 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
18.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
18.450 * [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
18.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.451 * [backup-simplify]: Simplify (- 0) into 0
18.451 * [backup-simplify]: Simplify (+ 0 0) into 0
18.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
18.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.455 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
18.458 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.459 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
18.460 * [taylor]: Taking taylor expansion of 0 in k
18.460 * [backup-simplify]: Simplify 0 into 0
18.460 * [backup-simplify]: Simplify 0 into 0
18.460 * [backup-simplify]: Simplify 0 into 0
18.463 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.466 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.467 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
18.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
18.476 * [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
18.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.477 * [backup-simplify]: Simplify (- 0) into 0
18.477 * [backup-simplify]: Simplify (+ 0 0) into 0
18.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
18.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.482 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
18.485 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.487 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
18.487 * [taylor]: Taking taylor expansion of 0 in k
18.487 * [backup-simplify]: Simplify 0 into 0
18.487 * [backup-simplify]: Simplify 0 into 0
18.487 * [backup-simplify]: Simplify 0 into 0
18.487 * [backup-simplify]: Simplify 0 into 0
18.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.492 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.494 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
18.498 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
18.499 * [backup-simplify]: Simplify (/ (pow (* (* PI 2) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
18.499 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
18.499 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
18.499 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
18.499 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
18.499 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
18.499 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
18.499 * [taylor]: Taking taylor expansion of 1/2 in k
18.499 * [backup-simplify]: Simplify 1/2 into 1/2
18.499 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.499 * [taylor]: Taking taylor expansion of k in k
18.499 * [backup-simplify]: Simplify 0 into 0
18.499 * [backup-simplify]: Simplify 1 into 1
18.499 * [backup-simplify]: Simplify (/ 1 1) into 1
18.499 * [taylor]: Taking taylor expansion of 1 in k
18.499 * [backup-simplify]: Simplify 1 into 1
18.499 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.499 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.499 * [taylor]: Taking taylor expansion of -2 in k
18.499 * [backup-simplify]: Simplify -2 into -2
18.499 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.499 * [taylor]: Taking taylor expansion of PI in k
18.499 * [backup-simplify]: Simplify PI into PI
18.499 * [taylor]: Taking taylor expansion of n in k
18.499 * [backup-simplify]: Simplify n into n
18.499 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.499 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.499 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.500 * [backup-simplify]: Simplify (+ 1 0) into 1
18.500 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.500 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.500 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
18.500 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.500 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.500 * [taylor]: Taking taylor expansion of -1 in k
18.500 * [backup-simplify]: Simplify -1 into -1
18.500 * [taylor]: Taking taylor expansion of k in k
18.500 * [backup-simplify]: Simplify 0 into 0
18.500 * [backup-simplify]: Simplify 1 into 1
18.501 * [backup-simplify]: Simplify (/ -1 1) into -1
18.501 * [backup-simplify]: Simplify (sqrt 0) into 0
18.502 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.502 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
18.502 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
18.502 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
18.502 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
18.502 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
18.502 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
18.502 * [taylor]: Taking taylor expansion of 1/2 in n
18.502 * [backup-simplify]: Simplify 1/2 into 1/2
18.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.502 * [taylor]: Taking taylor expansion of k in n
18.502 * [backup-simplify]: Simplify k into k
18.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.502 * [taylor]: Taking taylor expansion of 1 in n
18.502 * [backup-simplify]: Simplify 1 into 1
18.502 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.502 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.502 * [taylor]: Taking taylor expansion of -2 in n
18.502 * [backup-simplify]: Simplify -2 into -2
18.502 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.502 * [taylor]: Taking taylor expansion of PI in n
18.502 * [backup-simplify]: Simplify PI into PI
18.502 * [taylor]: Taking taylor expansion of n in n
18.502 * [backup-simplify]: Simplify 0 into 0
18.502 * [backup-simplify]: Simplify 1 into 1
18.503 * [backup-simplify]: Simplify (/ PI 1) into PI
18.503 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.504 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.504 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.504 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
18.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.505 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.506 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.506 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.506 * [taylor]: Taking taylor expansion of -1 in n
18.506 * [backup-simplify]: Simplify -1 into -1
18.506 * [taylor]: Taking taylor expansion of k in n
18.506 * [backup-simplify]: Simplify k into k
18.506 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.506 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.506 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.507 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
18.507 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
18.507 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
18.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
18.507 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
18.507 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
18.507 * [taylor]: Taking taylor expansion of 1/2 in n
18.507 * [backup-simplify]: Simplify 1/2 into 1/2
18.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
18.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.507 * [taylor]: Taking taylor expansion of k in n
18.507 * [backup-simplify]: Simplify k into k
18.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.508 * [taylor]: Taking taylor expansion of 1 in n
18.508 * [backup-simplify]: Simplify 1 into 1
18.508 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.508 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.508 * [taylor]: Taking taylor expansion of -2 in n
18.508 * [backup-simplify]: Simplify -2 into -2
18.508 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.508 * [taylor]: Taking taylor expansion of PI in n
18.508 * [backup-simplify]: Simplify PI into PI
18.508 * [taylor]: Taking taylor expansion of n in n
18.508 * [backup-simplify]: Simplify 0 into 0
18.508 * [backup-simplify]: Simplify 1 into 1
18.508 * [backup-simplify]: Simplify (/ PI 1) into PI
18.508 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.509 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.509 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
18.509 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
18.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.511 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
18.511 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.511 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.511 * [taylor]: Taking taylor expansion of -1 in n
18.512 * [backup-simplify]: Simplify -1 into -1
18.512 * [taylor]: Taking taylor expansion of k in n
18.512 * [backup-simplify]: Simplify k into k
18.512 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.512 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.512 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.513 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
18.513 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
18.513 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
18.513 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
18.513 * [taylor]: Taking taylor expansion of 1/2 in k
18.513 * [backup-simplify]: Simplify 1/2 into 1/2
18.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
18.513 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
18.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.513 * [taylor]: Taking taylor expansion of k in k
18.513 * [backup-simplify]: Simplify 0 into 0
18.513 * [backup-simplify]: Simplify 1 into 1
18.513 * [backup-simplify]: Simplify (/ 1 1) into 1
18.513 * [taylor]: Taking taylor expansion of 1 in k
18.513 * [backup-simplify]: Simplify 1 into 1
18.513 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
18.513 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
18.513 * [taylor]: Taking taylor expansion of (* -2 PI) in k
18.513 * [taylor]: Taking taylor expansion of -2 in k
18.513 * [backup-simplify]: Simplify -2 into -2
18.513 * [taylor]: Taking taylor expansion of PI in k
18.513 * [backup-simplify]: Simplify PI into PI
18.513 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.514 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.514 * [taylor]: Taking taylor expansion of (log n) in k
18.514 * [taylor]: Taking taylor expansion of n in k
18.514 * [backup-simplify]: Simplify n into n
18.514 * [backup-simplify]: Simplify (log n) into (log n)
18.514 * [backup-simplify]: Simplify (+ 1 0) into 1
18.515 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.515 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
18.516 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
18.516 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
18.517 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
18.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.517 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.517 * [taylor]: Taking taylor expansion of -1 in k
18.517 * [backup-simplify]: Simplify -1 into -1
18.517 * [taylor]: Taking taylor expansion of k in k
18.517 * [backup-simplify]: Simplify 0 into 0
18.517 * [backup-simplify]: Simplify 1 into 1
18.518 * [backup-simplify]: Simplify (/ -1 1) into -1
18.518 * [backup-simplify]: Simplify (sqrt 0) into 0
18.519 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.519 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
18.520 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
18.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.521 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
18.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
18.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.523 * [backup-simplify]: Simplify (+ 0 0) into 0
18.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
18.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.524 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
18.526 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.526 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
18.526 * [taylor]: Taking taylor expansion of 0 in k
18.527 * [backup-simplify]: Simplify 0 into 0
18.527 * [backup-simplify]: Simplify 0 into 0
18.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.529 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.530 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
18.531 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
18.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.532 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
18.534 * [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
18.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.536 * [backup-simplify]: Simplify (+ 0 0) into 0
18.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
18.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.540 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
18.542 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.542 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
18.545 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
18.545 * [taylor]: Taking taylor expansion of 0 in k
18.545 * [backup-simplify]: Simplify 0 into 0
18.545 * [backup-simplify]: Simplify 0 into 0
18.545 * [backup-simplify]: Simplify 0 into 0
18.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.560 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
18.562 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
18.564 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
18.565 * * * [progress]: simplifying candidates
18.565 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.565 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.565 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ 1 2)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
18.565 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
18.565 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
18.565 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
18.565 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 1) (sqrt k)))>
18.566 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
18.566 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))>
18.566 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))>
18.566 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log PI) (log 2)) (log n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* PI 2)) (log n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* PI PI) PI) (* (* 2 2) 2)) (* (* n n) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* PI 2) (* PI 2)) (* PI 2)) (* (* n n) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* PI 2) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* PI 2) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* PI 2) 1) n) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* 2 n)) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))>
18.567 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.567 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.567 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 1))>
18.567 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k)))))>
18.567 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k)))))>
18.567 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))>
18.567 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))>
18.567 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* PI 2) n) (/ (- 1 k) 2))) (log (sqrt k)))))>
18.567 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.567 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.567 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
18.567 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.567 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.568 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.568 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k))))>
18.568 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
18.568 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
18.568 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt 1)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))>
18.568 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) 1) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))>
18.568 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
18.568 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
18.568 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))>
18.568 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))>
18.568 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
18.568 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
18.568 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))>
18.568 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))>
18.568 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
18.568 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
18.568 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
18.568 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))>
18.568 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
18.569 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))>
18.569 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
18.569 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
18.569 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
18.569 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
18.569 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
18.569 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
18.569 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))>
18.569 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
18.569 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))>
18.569 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
18.569 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
18.569 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
18.569 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
18.569 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
18.569 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) 1) (sqrt k)))>
18.569 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI 2) (/ (- 1 k) 2)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))>
18.569 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))))>
18.569 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))))>
18.569 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))>
18.569 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)))))>
18.569 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI 2) n) (/ 1 2)) (* (sqrt k) (pow (* (* PI 2) n) (/ k 2)))))>
18.569 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))>
18.569 * * * * [progress]: [ 125 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
18.569 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
18.569 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
18.570 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
18.570 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
18.570 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
18.570 * * * * [progress]: [ 131 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
18.570 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
18.570 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
18.571 * [simplify]: Simplifying:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 2))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* PI 2) n) (/ 1 2))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 1))
  (pow (* (* PI 2) n) 1)
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* PI 2) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (+ (+ (log PI) (log 2)) (log n))
  (+ (log (* PI 2)) (log n))
  (log (* (* PI 2) n))
  (exp (* (* PI 2) n))
  (* (* (* (* PI PI) PI) (* (* 2 2) 2)) (* (* n n) n))
  (* (* (* (* PI 2) (* PI 2)) (* PI 2)) (* (* n n) 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))
  (* (* PI 2) (* (cbrt n) (cbrt n)))
  (* (* PI 2) (sqrt n))
  (* (* PI 2) 1)
  (* 2 n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (log (pow (* (* PI 2) n) (/ (- 1 k) 2))) (log (sqrt k)))
  (log (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (/ (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow n (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) 1)
  (/ (pow n (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt 1))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 1)
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt 1))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 1)
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) 1)
  (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) 1)
  (/ (sqrt k) (pow n (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt k) (pow (* (* PI 2) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
18.574 * * [simplify]: iteration 1: (298 enodes)
18.712 * * [simplify]: iteration 2: (764 enodes)
19.449 * * [simplify]: Extracting #0: cost 105 inf + 0
19.450 * * [simplify]: Extracting #1: cost 396 inf + 1
19.452 * * [simplify]: Extracting #2: cost 667 inf + 5022
19.470 * * [simplify]: Extracting #3: cost 523 inf + 92061
19.495 * * [simplify]: Extracting #4: cost 255 inf + 183766
19.538 * * [simplify]: Extracting #5: cost 133 inf + 245115
19.602 * * [simplify]: Extracting #6: cost 100 inf + 265617
19.678 * * [simplify]: Extracting #7: cost 54 inf + 289915
19.769 * * [simplify]: Extracting #8: cost 27 inf + 308983
19.861 * * [simplify]: Extracting #9: cost 5 inf + 321247
19.941 * * [simplify]: Extracting #10: cost 0 inf + 324440
20.040 * * [simplify]: Extracting #11: cost 0 inf + 324360
20.134 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* PI 2) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (exp (* (* PI 2) n))
  (* (* (* PI 8) (* 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))
  (* (* (cbrt n) (cbrt n)) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* PI 2)
  (* n 2)
  (real->posit16 (* (* PI 2) n))
  (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))
  (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* PI 2) (/ (- 1 k) 2))
  (/ (pow n (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* PI 2) (/ (- 1 k) 2))
  (/ (pow n (/ (- 1 k) 2)) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (/ (sqrt k) (pow n (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))
  (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (+ (fma (* (log (* PI 2)) 1/4) (* (* (log n) (sqrt (* (* PI 2) n))) (* k k)) (fma 1/8 (* (sqrt (* (* PI 2) n)) (* (* (log n) k) (* (log n) k))) (fma (* (* (log (* PI 2)) (log (* PI 2))) 1/8) (* (sqrt (* (* PI 2) n)) (* k k)) (sqrt (* (* PI 2) n))))) (* -1/2 (* k (+ (* (log n) (sqrt (* (* PI 2) n))) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))))
  (exp (* (* (log (* (* PI 2) n)) (- 1 k)) 1/2))
  (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (* (- +nan.0) (* (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (log n)) (* k k))) (+ (* (* (log (* PI 2)) (* (sqrt (* (* PI 2) n)) (* k k))) (- +nan.0)) (+ (- (* (* (* (log n) k) (* (log n) k)) (* (sqrt (* (* PI 2) n)) +nan.0)) (* +nan.0 (* (sqrt (* (* PI 2) n)) k))) (+ (- (* (sqrt (* (* PI 2) n)) +nan.0) (* (* (* (log (* PI 2)) (log (* PI 2))) +nan.0) (* (sqrt (* (* PI 2) n)) (* k k)))) (+ (- (* (* (* (sqrt (* (* PI 2) n)) (* k k)) +nan.0) (log n)) (* (* (sqrt (* (* PI 2) n)) (* k k)) +nan.0)) (* +nan.0 (- (* (* (sqrt (* (* PI 2) n)) k) (log (* PI 2))) (* (* (sqrt (* (* PI 2) n)) k) (log n)))))))))
  (+ (* (- +nan.0) (/ (exp (* (* (log (* (* PI 2) n)) (- 1 k)) 1/2)) k)) (* +nan.0 (- (/ (exp (* (* (log (* (* PI 2) n)) (- 1 k)) 1/2)) (* k k)) (/ (/ (exp (* (* (log (* (* PI 2) n)) (- 1 k)) 1/2)) (* k k)) k))))
  (+ (- (/ (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) (/ k +nan.0))) (* +nan.0 (- (/ (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) (exp (* (* (- 1 k) 1/2) (- (log (* -2 PI)) (log (/ -1 n))))))))
20.152 * * * [progress]: adding candidates to table
21.649 * * [progress]: iteration 4 / 4
21.649 * * * [progress]: picking best candidate
21.677 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
21.678 * * * [progress]: localizing error
21.717 * * * [progress]: generating rewritten candidates
21.717 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
21.734 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
21.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
21.775 * * * [progress]: generating series expansions
21.775 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
21.776 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
21.776 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
21.776 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
21.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
21.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
21.776 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
21.776 * [taylor]: Taking taylor expansion of 1/2 in k
21.776 * [backup-simplify]: Simplify 1/2 into 1/2
21.776 * [taylor]: Taking taylor expansion of (- 1 k) in k
21.776 * [taylor]: Taking taylor expansion of 1 in k
21.776 * [backup-simplify]: Simplify 1 into 1
21.776 * [taylor]: Taking taylor expansion of k in k
21.776 * [backup-simplify]: Simplify 0 into 0
21.776 * [backup-simplify]: Simplify 1 into 1
21.776 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
21.776 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
21.776 * [taylor]: Taking taylor expansion of 2 in k
21.776 * [backup-simplify]: Simplify 2 into 2
21.776 * [taylor]: Taking taylor expansion of (* n PI) in k
21.776 * [taylor]: Taking taylor expansion of n in k
21.776 * [backup-simplify]: Simplify n into n
21.776 * [taylor]: Taking taylor expansion of PI in k
21.777 * [backup-simplify]: Simplify PI into PI
21.777 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.777 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
21.777 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
21.777 * [backup-simplify]: Simplify (- 0) into 0
21.777 * [backup-simplify]: Simplify (+ 1 0) into 1
21.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.778 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
21.778 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
21.778 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
21.778 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
21.778 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
21.778 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
21.778 * [taylor]: Taking taylor expansion of 1/2 in n
21.778 * [backup-simplify]: Simplify 1/2 into 1/2
21.778 * [taylor]: Taking taylor expansion of (- 1 k) in n
21.778 * [taylor]: Taking taylor expansion of 1 in n
21.778 * [backup-simplify]: Simplify 1 into 1
21.778 * [taylor]: Taking taylor expansion of k in n
21.778 * [backup-simplify]: Simplify k into k
21.778 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.778 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.778 * [taylor]: Taking taylor expansion of 2 in n
21.778 * [backup-simplify]: Simplify 2 into 2
21.778 * [taylor]: Taking taylor expansion of (* n PI) in n
21.778 * [taylor]: Taking taylor expansion of n in n
21.778 * [backup-simplify]: Simplify 0 into 0
21.778 * [backup-simplify]: Simplify 1 into 1
21.778 * [taylor]: Taking taylor expansion of PI in n
21.778 * [backup-simplify]: Simplify PI into PI
21.778 * [backup-simplify]: Simplify (* 0 PI) into 0
21.779 * [backup-simplify]: Simplify (* 2 0) into 0
21.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.781 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.781 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.782 * [backup-simplify]: Simplify (- k) into (- k)
21.782 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
21.782 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
21.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.783 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
21.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
21.784 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
21.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
21.784 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
21.784 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
21.784 * [taylor]: Taking taylor expansion of 1/2 in n
21.784 * [backup-simplify]: Simplify 1/2 into 1/2
21.784 * [taylor]: Taking taylor expansion of (- 1 k) in n
21.784 * [taylor]: Taking taylor expansion of 1 in n
21.784 * [backup-simplify]: Simplify 1 into 1
21.784 * [taylor]: Taking taylor expansion of k in n
21.784 * [backup-simplify]: Simplify k into k
21.784 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.784 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.784 * [taylor]: Taking taylor expansion of 2 in n
21.784 * [backup-simplify]: Simplify 2 into 2
21.784 * [taylor]: Taking taylor expansion of (* n PI) in n
21.784 * [taylor]: Taking taylor expansion of n in n
21.785 * [backup-simplify]: Simplify 0 into 0
21.785 * [backup-simplify]: Simplify 1 into 1
21.785 * [taylor]: Taking taylor expansion of PI in n
21.785 * [backup-simplify]: Simplify PI into PI
21.785 * [backup-simplify]: Simplify (* 0 PI) into 0
21.785 * [backup-simplify]: Simplify (* 2 0) into 0
21.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.787 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.788 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.788 * [backup-simplify]: Simplify (- k) into (- k)
21.788 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
21.788 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
21.789 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.790 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
21.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
21.790 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
21.790 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
21.790 * [taylor]: Taking taylor expansion of 1/2 in k
21.790 * [backup-simplify]: Simplify 1/2 into 1/2
21.791 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
21.791 * [taylor]: Taking taylor expansion of (- 1 k) in k
21.791 * [taylor]: Taking taylor expansion of 1 in k
21.791 * [backup-simplify]: Simplify 1 into 1
21.791 * [taylor]: Taking taylor expansion of k in k
21.791 * [backup-simplify]: Simplify 0 into 0
21.791 * [backup-simplify]: Simplify 1 into 1
21.791 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
21.791 * [taylor]: Taking taylor expansion of (log n) in k
21.791 * [taylor]: Taking taylor expansion of n in k
21.791 * [backup-simplify]: Simplify n into n
21.791 * [backup-simplify]: Simplify (log n) into (log n)
21.791 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.791 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.791 * [taylor]: Taking taylor expansion of 2 in k
21.791 * [backup-simplify]: Simplify 2 into 2
21.791 * [taylor]: Taking taylor expansion of PI in k
21.791 * [backup-simplify]: Simplify PI into PI
21.791 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.792 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.792 * [backup-simplify]: Simplify (- 0) into 0
21.792 * [backup-simplify]: Simplify (+ 1 0) into 1
21.793 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.794 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
21.794 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
21.795 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.796 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.798 * [backup-simplify]: Simplify (- 0) into 0
21.799 * [backup-simplify]: Simplify (+ 0 0) into 0
21.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
21.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.801 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
21.802 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.802 * [taylor]: Taking taylor expansion of 0 in k
21.802 * [backup-simplify]: Simplify 0 into 0
21.802 * [backup-simplify]: Simplify 0 into 0
21.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.804 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.807 * [backup-simplify]: Simplify (+ 0 0) into 0
21.807 * [backup-simplify]: Simplify (- 1) into -1
21.808 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.809 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
21.812 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
21.815 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.818 * [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)))))))
21.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.825 * [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
21.825 * [backup-simplify]: Simplify (- 0) into 0
21.825 * [backup-simplify]: Simplify (+ 0 0) into 0
21.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
21.828 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.832 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.832 * [taylor]: Taking taylor expansion of 0 in k
21.832 * [backup-simplify]: Simplify 0 into 0
21.832 * [backup-simplify]: Simplify 0 into 0
21.832 * [backup-simplify]: Simplify 0 into 0
21.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.839 * [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
21.839 * [backup-simplify]: Simplify (+ 0 0) into 0
21.840 * [backup-simplify]: Simplify (- 0) into 0
21.840 * [backup-simplify]: Simplify (+ 0 0) into 0
21.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.849 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.854 * [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)))))
21.865 * [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)))))
21.866 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
21.866 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
21.866 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
21.866 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
21.866 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
21.866 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
21.866 * [taylor]: Taking taylor expansion of 1/2 in k
21.866 * [backup-simplify]: Simplify 1/2 into 1/2
21.866 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
21.866 * [taylor]: Taking taylor expansion of 1 in k
21.866 * [backup-simplify]: Simplify 1 into 1
21.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.866 * [taylor]: Taking taylor expansion of k in k
21.866 * [backup-simplify]: Simplify 0 into 0
21.866 * [backup-simplify]: Simplify 1 into 1
21.866 * [backup-simplify]: Simplify (/ 1 1) into 1
21.867 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
21.867 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
21.867 * [taylor]: Taking taylor expansion of 2 in k
21.867 * [backup-simplify]: Simplify 2 into 2
21.867 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.867 * [taylor]: Taking taylor expansion of PI in k
21.867 * [backup-simplify]: Simplify PI into PI
21.867 * [taylor]: Taking taylor expansion of n in k
21.867 * [backup-simplify]: Simplify n into n
21.867 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.867 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
21.867 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
21.867 * [backup-simplify]: Simplify (- 1) into -1
21.868 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.869 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
21.869 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
21.869 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
21.869 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
21.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.869 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.869 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
21.869 * [taylor]: Taking taylor expansion of 1/2 in n
21.869 * [backup-simplify]: Simplify 1/2 into 1/2
21.869 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
21.869 * [taylor]: Taking taylor expansion of 1 in n
21.869 * [backup-simplify]: Simplify 1 into 1
21.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.869 * [taylor]: Taking taylor expansion of k in n
21.869 * [backup-simplify]: Simplify k into k
21.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.869 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.869 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.869 * [taylor]: Taking taylor expansion of 2 in n
21.869 * [backup-simplify]: Simplify 2 into 2
21.869 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.869 * [taylor]: Taking taylor expansion of PI in n
21.869 * [backup-simplify]: Simplify PI into PI
21.870 * [taylor]: Taking taylor expansion of n in n
21.870 * [backup-simplify]: Simplify 0 into 0
21.870 * [backup-simplify]: Simplify 1 into 1
21.870 * [backup-simplify]: Simplify (/ PI 1) into PI
21.871 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.872 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.872 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.872 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
21.872 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
21.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.875 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
21.876 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
21.876 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
21.876 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.876 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.876 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
21.876 * [taylor]: Taking taylor expansion of 1/2 in n
21.876 * [backup-simplify]: Simplify 1/2 into 1/2
21.876 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
21.876 * [taylor]: Taking taylor expansion of 1 in n
21.876 * [backup-simplify]: Simplify 1 into 1
21.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.876 * [taylor]: Taking taylor expansion of k in n
21.876 * [backup-simplify]: Simplify k into k
21.876 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.876 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.876 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.876 * [taylor]: Taking taylor expansion of 2 in n
21.876 * [backup-simplify]: Simplify 2 into 2
21.876 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.876 * [taylor]: Taking taylor expansion of PI in n
21.877 * [backup-simplify]: Simplify PI into PI
21.877 * [taylor]: Taking taylor expansion of n in n
21.877 * [backup-simplify]: Simplify 0 into 0
21.877 * [backup-simplify]: Simplify 1 into 1
21.877 * [backup-simplify]: Simplify (/ PI 1) into PI
21.878 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.879 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.879 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
21.879 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
21.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.881 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
21.883 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
21.883 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
21.883 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
21.883 * [taylor]: Taking taylor expansion of 1/2 in k
21.883 * [backup-simplify]: Simplify 1/2 into 1/2
21.883 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
21.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
21.883 * [taylor]: Taking taylor expansion of 1 in k
21.883 * [backup-simplify]: Simplify 1 into 1
21.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.883 * [taylor]: Taking taylor expansion of k in k
21.883 * [backup-simplify]: Simplify 0 into 0
21.883 * [backup-simplify]: Simplify 1 into 1
21.883 * [backup-simplify]: Simplify (/ 1 1) into 1
21.884 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
21.884 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.884 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.884 * [taylor]: Taking taylor expansion of 2 in k
21.884 * [backup-simplify]: Simplify 2 into 2
21.884 * [taylor]: Taking taylor expansion of PI in k
21.884 * [backup-simplify]: Simplify PI into PI
21.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.885 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.885 * [taylor]: Taking taylor expansion of (log n) in k
21.885 * [taylor]: Taking taylor expansion of n in k
21.885 * [backup-simplify]: Simplify n into n
21.885 * [backup-simplify]: Simplify (log n) into (log n)
21.886 * [backup-simplify]: Simplify (- 1) into -1
21.886 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.886 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.887 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
21.889 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
21.890 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
21.891 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
21.892 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
21.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.895 * [backup-simplify]: Simplify (- 0) into 0
21.895 * [backup-simplify]: Simplify (+ 0 0) into 0
21.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
21.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.902 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
21.904 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.904 * [taylor]: Taking taylor expansion of 0 in k
21.904 * [backup-simplify]: Simplify 0 into 0
21.904 * [backup-simplify]: Simplify 0 into 0
21.904 * [backup-simplify]: Simplify 0 into 0
21.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.907 * [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
21.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.907 * [backup-simplify]: Simplify (- 0) into 0
21.907 * [backup-simplify]: Simplify (+ 0 0) into 0
21.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
21.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.910 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
21.911 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.911 * [taylor]: Taking taylor expansion of 0 in k
21.911 * [backup-simplify]: Simplify 0 into 0
21.911 * [backup-simplify]: Simplify 0 into 0
21.911 * [backup-simplify]: Simplify 0 into 0
21.911 * [backup-simplify]: Simplify 0 into 0
21.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.916 * [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
21.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.916 * [backup-simplify]: Simplify (- 0) into 0
21.916 * [backup-simplify]: Simplify (+ 0 0) into 0
21.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
21.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.919 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
21.921 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.921 * [taylor]: Taking taylor expansion of 0 in k
21.921 * [backup-simplify]: Simplify 0 into 0
21.921 * [backup-simplify]: Simplify 0 into 0
21.922 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
21.922 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
21.922 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
21.922 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
21.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
21.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
21.922 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
21.922 * [taylor]: Taking taylor expansion of 1/2 in k
21.922 * [backup-simplify]: Simplify 1/2 into 1/2
21.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
21.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.922 * [taylor]: Taking taylor expansion of k in k
21.922 * [backup-simplify]: Simplify 0 into 0
21.922 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (/ 1 1) into 1
21.923 * [taylor]: Taking taylor expansion of 1 in k
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
21.923 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
21.923 * [taylor]: Taking taylor expansion of -2 in k
21.923 * [backup-simplify]: Simplify -2 into -2
21.923 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.923 * [taylor]: Taking taylor expansion of PI in k
21.923 * [backup-simplify]: Simplify PI into PI
21.923 * [taylor]: Taking taylor expansion of n in k
21.923 * [backup-simplify]: Simplify n into n
21.923 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.923 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
21.923 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
21.923 * [backup-simplify]: Simplify (+ 1 0) into 1
21.923 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.923 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
21.924 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
21.924 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
21.924 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
21.924 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
21.924 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
21.924 * [taylor]: Taking taylor expansion of 1/2 in n
21.924 * [backup-simplify]: Simplify 1/2 into 1/2
21.924 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
21.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.924 * [taylor]: Taking taylor expansion of k in n
21.924 * [backup-simplify]: Simplify k into k
21.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.924 * [taylor]: Taking taylor expansion of 1 in n
21.924 * [backup-simplify]: Simplify 1 into 1
21.924 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.924 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.924 * [taylor]: Taking taylor expansion of -2 in n
21.924 * [backup-simplify]: Simplify -2 into -2
21.924 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.924 * [taylor]: Taking taylor expansion of PI in n
21.924 * [backup-simplify]: Simplify PI into PI
21.924 * [taylor]: Taking taylor expansion of n in n
21.924 * [backup-simplify]: Simplify 0 into 0
21.924 * [backup-simplify]: Simplify 1 into 1
21.924 * [backup-simplify]: Simplify (/ PI 1) into PI
21.925 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.925 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.925 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
21.925 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
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 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
21.928 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
21.928 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
21.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
21.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
21.928 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
21.928 * [taylor]: Taking taylor expansion of 1/2 in n
21.928 * [backup-simplify]: Simplify 1/2 into 1/2
21.928 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
21.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.928 * [taylor]: Taking taylor expansion of k in n
21.928 * [backup-simplify]: Simplify k into k
21.928 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.928 * [taylor]: Taking taylor expansion of 1 in n
21.928 * [backup-simplify]: Simplify 1 into 1
21.928 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.928 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.928 * [taylor]: Taking taylor expansion of -2 in n
21.928 * [backup-simplify]: Simplify -2 into -2
21.928 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.928 * [taylor]: Taking taylor expansion of PI in n
21.928 * [backup-simplify]: Simplify PI into PI
21.928 * [taylor]: Taking taylor expansion of n in n
21.928 * [backup-simplify]: Simplify 0 into 0
21.928 * [backup-simplify]: Simplify 1 into 1
21.928 * [backup-simplify]: Simplify (/ PI 1) into PI
21.929 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.929 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.930 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
21.930 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
21.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.932 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
21.932 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
21.932 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
21.932 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
21.932 * [taylor]: Taking taylor expansion of 1/2 in k
21.932 * [backup-simplify]: Simplify 1/2 into 1/2
21.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
21.932 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
21.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.933 * [taylor]: Taking taylor expansion of k in k
21.933 * [backup-simplify]: Simplify 0 into 0
21.933 * [backup-simplify]: Simplify 1 into 1
21.933 * [backup-simplify]: Simplify (/ 1 1) into 1
21.933 * [taylor]: Taking taylor expansion of 1 in k
21.933 * [backup-simplify]: Simplify 1 into 1
21.933 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
21.933 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
21.933 * [taylor]: Taking taylor expansion of (* -2 PI) in k
21.933 * [taylor]: Taking taylor expansion of -2 in k
21.933 * [backup-simplify]: Simplify -2 into -2
21.933 * [taylor]: Taking taylor expansion of PI in k
21.933 * [backup-simplify]: Simplify PI into PI
21.934 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.934 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.934 * [taylor]: Taking taylor expansion of (log n) in k
21.934 * [taylor]: Taking taylor expansion of n in k
21.934 * [backup-simplify]: Simplify n into n
21.934 * [backup-simplify]: Simplify (log n) into (log n)
21.935 * [backup-simplify]: Simplify (+ 1 0) into 1
21.935 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.935 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
21.936 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
21.937 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
21.937 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
21.938 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
21.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.940 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
21.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
21.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.942 * [backup-simplify]: Simplify (+ 0 0) into 0
21.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) 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 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
21.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.945 * [taylor]: Taking taylor expansion of 0 in k
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.946 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
21.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
21.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.949 * [backup-simplify]: Simplify (+ 0 0) into 0
21.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
21.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.951 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
21.953 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.953 * [taylor]: Taking taylor expansion of 0 in k
21.953 * [backup-simplify]: Simplify 0 into 0
21.953 * [backup-simplify]: Simplify 0 into 0
21.953 * [backup-simplify]: Simplify 0 into 0
21.953 * [backup-simplify]: Simplify 0 into 0
21.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.954 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.958 * [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
21.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.958 * [backup-simplify]: Simplify (+ 0 0) into 0
21.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
21.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.962 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
21.964 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.964 * [taylor]: Taking taylor expansion of 0 in k
21.964 * [backup-simplify]: Simplify 0 into 0
21.964 * [backup-simplify]: Simplify 0 into 0
21.965 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
21.965 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
21.966 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
21.966 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
21.966 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.966 * [taylor]: Taking taylor expansion of 2 in n
21.966 * [backup-simplify]: Simplify 2 into 2
21.966 * [taylor]: Taking taylor expansion of (* n PI) in n
21.966 * [taylor]: Taking taylor expansion of n in n
21.966 * [backup-simplify]: Simplify 0 into 0
21.966 * [backup-simplify]: Simplify 1 into 1
21.966 * [taylor]: Taking taylor expansion of PI in n
21.966 * [backup-simplify]: Simplify PI into PI
21.966 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.966 * [taylor]: Taking taylor expansion of 2 in n
21.966 * [backup-simplify]: Simplify 2 into 2
21.966 * [taylor]: Taking taylor expansion of (* n PI) in n
21.966 * [taylor]: Taking taylor expansion of n in n
21.966 * [backup-simplify]: Simplify 0 into 0
21.966 * [backup-simplify]: Simplify 1 into 1
21.966 * [taylor]: Taking taylor expansion of PI in n
21.966 * [backup-simplify]: Simplify PI into PI
21.966 * [backup-simplify]: Simplify (* 0 PI) into 0
21.966 * [backup-simplify]: Simplify (* 2 0) into 0
21.967 * [backup-simplify]: Simplify 0 into 0
21.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.968 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.969 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.970 * [backup-simplify]: Simplify 0 into 0
21.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.971 * [backup-simplify]: Simplify 0 into 0
21.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
21.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
21.973 * [backup-simplify]: Simplify 0 into 0
21.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
21.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
21.975 * [backup-simplify]: Simplify 0 into 0
21.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
21.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
21.977 * [backup-simplify]: Simplify 0 into 0
21.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
21.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
21.979 * [backup-simplify]: Simplify 0 into 0
21.979 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
21.980 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
21.980 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
21.980 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.980 * [taylor]: Taking taylor expansion of 2 in n
21.980 * [backup-simplify]: Simplify 2 into 2
21.980 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.980 * [taylor]: Taking taylor expansion of PI in n
21.980 * [backup-simplify]: Simplify PI into PI
21.980 * [taylor]: Taking taylor expansion of n in n
21.980 * [backup-simplify]: Simplify 0 into 0
21.980 * [backup-simplify]: Simplify 1 into 1
21.980 * [backup-simplify]: Simplify (/ PI 1) into PI
21.980 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.980 * [taylor]: Taking taylor expansion of 2 in n
21.980 * [backup-simplify]: Simplify 2 into 2
21.980 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.980 * [taylor]: Taking taylor expansion of PI in n
21.980 * [backup-simplify]: Simplify PI into PI
21.980 * [taylor]: Taking taylor expansion of n in n
21.980 * [backup-simplify]: Simplify 0 into 0
21.980 * [backup-simplify]: Simplify 1 into 1
21.981 * [backup-simplify]: Simplify (/ PI 1) into PI
21.981 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.981 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.983 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.983 * [backup-simplify]: Simplify 0 into 0
21.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.985 * [backup-simplify]: Simplify 0 into 0
21.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.988 * [backup-simplify]: Simplify 0 into 0
21.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
21.990 * [backup-simplify]: Simplify 0 into 0
21.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
21.993 * [backup-simplify]: Simplify 0 into 0
21.995 * [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
21.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
21.997 * [backup-simplify]: Simplify 0 into 0
21.997 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
21.998 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
21.998 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
21.998 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.998 * [taylor]: Taking taylor expansion of -2 in n
21.998 * [backup-simplify]: Simplify -2 into -2
21.998 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.998 * [taylor]: Taking taylor expansion of PI in n
21.998 * [backup-simplify]: Simplify PI into PI
21.998 * [taylor]: Taking taylor expansion of n in n
21.998 * [backup-simplify]: Simplify 0 into 0
21.998 * [backup-simplify]: Simplify 1 into 1
21.999 * [backup-simplify]: Simplify (/ PI 1) into PI
21.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.999 * [taylor]: Taking taylor expansion of -2 in n
21.999 * [backup-simplify]: Simplify -2 into -2
21.999 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.999 * [taylor]: Taking taylor expansion of PI in n
21.999 * [backup-simplify]: Simplify PI into PI
21.999 * [taylor]: Taking taylor expansion of n in n
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [backup-simplify]: Simplify 1 into 1
22.006 * [backup-simplify]: Simplify (/ PI 1) into PI
22.007 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.008 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.010 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.010 * [backup-simplify]: Simplify 0 into 0
22.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.012 * [backup-simplify]: Simplify 0 into 0
22.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.015 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.015 * [backup-simplify]: Simplify 0 into 0
22.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.018 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.018 * [backup-simplify]: Simplify 0 into 0
22.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.021 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.021 * [backup-simplify]: Simplify 0 into 0
22.023 * [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
22.025 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.025 * [backup-simplify]: Simplify 0 into 0
22.025 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
22.025 * * * * [progress]: [ 3 / 3 ] generating series at (2)
22.026 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
22.026 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
22.026 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
22.026 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
22.026 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
22.026 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
22.026 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
22.026 * [taylor]: Taking taylor expansion of 1/2 in n
22.026 * [backup-simplify]: Simplify 1/2 into 1/2
22.026 * [taylor]: Taking taylor expansion of (- 1 k) in n
22.026 * [taylor]: Taking taylor expansion of 1 in n
22.026 * [backup-simplify]: Simplify 1 into 1
22.026 * [taylor]: Taking taylor expansion of k in n
22.026 * [backup-simplify]: Simplify k into k
22.027 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.027 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.027 * [taylor]: Taking taylor expansion of 2 in n
22.027 * [backup-simplify]: Simplify 2 into 2
22.027 * [taylor]: Taking taylor expansion of (* n PI) in n
22.027 * [taylor]: Taking taylor expansion of n in n
22.027 * [backup-simplify]: Simplify 0 into 0
22.027 * [backup-simplify]: Simplify 1 into 1
22.027 * [taylor]: Taking taylor expansion of PI in n
22.027 * [backup-simplify]: Simplify PI into PI
22.027 * [backup-simplify]: Simplify (* 0 PI) into 0
22.028 * [backup-simplify]: Simplify (* 2 0) into 0
22.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.031 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.032 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.032 * [backup-simplify]: Simplify (- k) into (- k)
22.032 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
22.032 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
22.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.035 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
22.036 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
22.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
22.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.036 * [taylor]: Taking taylor expansion of k in n
22.036 * [backup-simplify]: Simplify k into k
22.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.036 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
22.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
22.036 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
22.037 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
22.037 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
22.037 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
22.037 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
22.037 * [taylor]: Taking taylor expansion of 1/2 in k
22.037 * [backup-simplify]: Simplify 1/2 into 1/2
22.037 * [taylor]: Taking taylor expansion of (- 1 k) in k
22.037 * [taylor]: Taking taylor expansion of 1 in k
22.037 * [backup-simplify]: Simplify 1 into 1
22.037 * [taylor]: Taking taylor expansion of k in k
22.037 * [backup-simplify]: Simplify 0 into 0
22.037 * [backup-simplify]: Simplify 1 into 1
22.037 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
22.037 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
22.037 * [taylor]: Taking taylor expansion of 2 in k
22.037 * [backup-simplify]: Simplify 2 into 2
22.037 * [taylor]: Taking taylor expansion of (* n PI) in k
22.037 * [taylor]: Taking taylor expansion of n in k
22.037 * [backup-simplify]: Simplify n into n
22.037 * [taylor]: Taking taylor expansion of PI in k
22.037 * [backup-simplify]: Simplify PI into PI
22.037 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.037 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
22.037 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
22.038 * [backup-simplify]: Simplify (- 0) into 0
22.038 * [backup-simplify]: Simplify (+ 1 0) into 1
22.039 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.039 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
22.039 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
22.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.039 * [taylor]: Taking taylor expansion of k in k
22.039 * [backup-simplify]: Simplify 0 into 0
22.039 * [backup-simplify]: Simplify 1 into 1
22.039 * [backup-simplify]: Simplify (/ 1 1) into 1
22.040 * [backup-simplify]: Simplify (sqrt 0) into 0
22.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.041 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
22.041 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
22.041 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
22.041 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
22.041 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 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 k) in k
22.041 * [taylor]: Taking taylor expansion of 1 in k
22.041 * [backup-simplify]: Simplify 1 into 1
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 (* 2 (* n PI))) in k
22.041 * [taylor]: Taking taylor expansion of (* 2 (* n 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 (* n PI) in k
22.041 * [taylor]: Taking taylor expansion of n in k
22.041 * [backup-simplify]: Simplify n into n
22.042 * [taylor]: Taking taylor expansion of PI in k
22.042 * [backup-simplify]: Simplify PI into PI
22.042 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.042 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
22.042 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
22.042 * [backup-simplify]: Simplify (- 0) into 0
22.043 * [backup-simplify]: Simplify (+ 1 0) into 1
22.043 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.043 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
22.043 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
22.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
22.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.043 * [taylor]: Taking taylor expansion of k in k
22.043 * [backup-simplify]: Simplify 0 into 0
22.043 * [backup-simplify]: Simplify 1 into 1
22.044 * [backup-simplify]: Simplify (/ 1 1) into 1
22.044 * [backup-simplify]: Simplify (sqrt 0) into 0
22.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.046 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
22.046 * [taylor]: Taking taylor expansion of 0 in n
22.046 * [backup-simplify]: Simplify 0 into 0
22.046 * [backup-simplify]: Simplify 0 into 0
22.047 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
22.047 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
22.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
22.048 * [backup-simplify]: Simplify (- 1) into -1
22.049 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.049 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
22.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
22.050 * [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)))))
22.051 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
22.051 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
22.051 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
22.051 * [taylor]: Taking taylor expansion of +nan.0 in n
22.051 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.051 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
22.051 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.051 * [taylor]: Taking taylor expansion of 2 in n
22.051 * [backup-simplify]: Simplify 2 into 2
22.051 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.052 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.052 * [taylor]: Taking taylor expansion of (* n PI) in n
22.052 * [taylor]: Taking taylor expansion of n in n
22.052 * [backup-simplify]: Simplify 0 into 0
22.052 * [backup-simplify]: Simplify 1 into 1
22.052 * [taylor]: Taking taylor expansion of PI in n
22.052 * [backup-simplify]: Simplify PI into PI
22.053 * [backup-simplify]: Simplify (* 0 PI) into 0
22.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.055 * [backup-simplify]: Simplify (sqrt 0) into 0
22.056 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.057 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
22.057 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.058 * [backup-simplify]: Simplify (- 0) into 0
22.058 * [backup-simplify]: Simplify 0 into 0
22.058 * [backup-simplify]: Simplify 0 into 0
22.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.062 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.062 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
22.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
22.065 * [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
22.065 * [backup-simplify]: Simplify (- 0) into 0
22.066 * [backup-simplify]: Simplify (+ 0 0) into 0
22.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
22.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
22.069 * [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)))
22.070 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
22.070 * [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
22.070 * [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
22.070 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
22.070 * [taylor]: Taking taylor expansion of +nan.0 in n
22.070 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.070 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
22.070 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
22.070 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.070 * [taylor]: Taking taylor expansion of 2 in n
22.070 * [backup-simplify]: Simplify 2 into 2
22.070 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.071 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.071 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.071 * [taylor]: Taking taylor expansion of 2 in n
22.071 * [backup-simplify]: Simplify 2 into 2
22.071 * [taylor]: Taking taylor expansion of (* n PI) in n
22.071 * [taylor]: Taking taylor expansion of n in n
22.071 * [backup-simplify]: Simplify 0 into 0
22.071 * [backup-simplify]: Simplify 1 into 1
22.071 * [taylor]: Taking taylor expansion of PI in n
22.071 * [backup-simplify]: Simplify PI into PI
22.072 * [backup-simplify]: Simplify (* 0 PI) into 0
22.072 * [backup-simplify]: Simplify (* 2 0) into 0
22.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.075 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.077 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.077 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.077 * [taylor]: Taking taylor expansion of (* n PI) in n
22.077 * [taylor]: Taking taylor expansion of n in n
22.077 * [backup-simplify]: Simplify 0 into 0
22.077 * [backup-simplify]: Simplify 1 into 1
22.077 * [taylor]: Taking taylor expansion of PI in n
22.077 * [backup-simplify]: Simplify PI into PI
22.077 * [backup-simplify]: Simplify (* 0 PI) into 0
22.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.079 * [backup-simplify]: Simplify (sqrt 0) into 0
22.081 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.081 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
22.081 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
22.081 * [taylor]: Taking taylor expansion of +nan.0 in n
22.081 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.081 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
22.081 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.081 * [taylor]: Taking taylor expansion of 2 in n
22.081 * [backup-simplify]: Simplify 2 into 2
22.081 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.082 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.082 * [taylor]: Taking taylor expansion of (* n PI) in n
22.082 * [taylor]: Taking taylor expansion of n in n
22.082 * [backup-simplify]: Simplify 0 into 0
22.082 * [backup-simplify]: Simplify 1 into 1
22.082 * [taylor]: Taking taylor expansion of PI in n
22.082 * [backup-simplify]: Simplify PI into PI
22.082 * [backup-simplify]: Simplify (* 0 PI) into 0
22.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.084 * [backup-simplify]: Simplify (sqrt 0) into 0
22.086 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.089 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
22.090 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
22.091 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.091 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
22.092 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.092 * [backup-simplify]: Simplify (- 0) into 0
22.093 * [backup-simplify]: Simplify (+ 0 0) into 0
22.093 * [backup-simplify]: Simplify (- 0) into 0
22.093 * [backup-simplify]: Simplify 0 into 0
22.097 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
22.102 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
22.104 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
22.106 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
22.106 * [backup-simplify]: Simplify 0 into 0
22.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.110 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
22.112 * [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
22.113 * [backup-simplify]: Simplify (- 0) into 0
22.113 * [backup-simplify]: Simplify (+ 0 0) into 0
22.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
22.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
22.116 * [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)))
22.116 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
22.116 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
22.116 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
22.116 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
22.116 * [taylor]: Taking taylor expansion of +nan.0 in n
22.116 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.116 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
22.116 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
22.116 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.116 * [taylor]: Taking taylor expansion of 2 in n
22.117 * [backup-simplify]: Simplify 2 into 2
22.117 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.117 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.117 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.117 * [taylor]: Taking taylor expansion of 2 in n
22.117 * [backup-simplify]: Simplify 2 into 2
22.117 * [taylor]: Taking taylor expansion of (* n PI) in n
22.117 * [taylor]: Taking taylor expansion of n in n
22.117 * [backup-simplify]: Simplify 0 into 0
22.117 * [backup-simplify]: Simplify 1 into 1
22.117 * [taylor]: Taking taylor expansion of PI in n
22.117 * [backup-simplify]: Simplify PI into PI
22.118 * [backup-simplify]: Simplify (* 0 PI) into 0
22.118 * [backup-simplify]: Simplify (* 2 0) into 0
22.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.120 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.121 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.121 * [taylor]: Taking taylor expansion of (* n PI) in n
22.121 * [taylor]: Taking taylor expansion of n in n
22.121 * [backup-simplify]: Simplify 0 into 0
22.121 * [backup-simplify]: Simplify 1 into 1
22.121 * [taylor]: Taking taylor expansion of PI in n
22.121 * [backup-simplify]: Simplify PI into PI
22.121 * [backup-simplify]: Simplify (* 0 PI) into 0
22.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.122 * [backup-simplify]: Simplify (sqrt 0) into 0
22.123 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.123 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
22.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
22.123 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
22.123 * [taylor]: Taking taylor expansion of +nan.0 in n
22.123 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.123 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
22.123 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.123 * [taylor]: Taking taylor expansion of 2 in n
22.123 * [backup-simplify]: Simplify 2 into 2
22.123 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.124 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.124 * [taylor]: Taking taylor expansion of (* n PI) in n
22.124 * [taylor]: Taking taylor expansion of n in n
22.124 * [backup-simplify]: Simplify 0 into 0
22.124 * [backup-simplify]: Simplify 1 into 1
22.124 * [taylor]: Taking taylor expansion of PI in n
22.124 * [backup-simplify]: Simplify PI into PI
22.124 * [backup-simplify]: Simplify (* 0 PI) into 0
22.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.125 * [backup-simplify]: Simplify (sqrt 0) into 0
22.126 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.126 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
22.126 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
22.126 * [taylor]: Taking taylor expansion of +nan.0 in n
22.126 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.126 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
22.126 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
22.126 * [taylor]: Taking taylor expansion of (sqrt 2) in n
22.126 * [taylor]: Taking taylor expansion of 2 in n
22.126 * [backup-simplify]: Simplify 2 into 2
22.127 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
22.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
22.127 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
22.127 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.127 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) 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 (* n PI) in n
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 * [taylor]: Taking taylor expansion of PI in n
22.127 * [backup-simplify]: Simplify PI into PI
22.128 * [backup-simplify]: Simplify (* 0 PI) into 0
22.128 * [backup-simplify]: Simplify (* 2 0) into 0
22.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.130 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.130 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.131 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.131 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
22.131 * [taylor]: Taking taylor expansion of (* n PI) in n
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 * [taylor]: Taking taylor expansion of PI in n
22.131 * [backup-simplify]: Simplify PI into PI
22.132 * [backup-simplify]: Simplify (* 0 PI) into 0
22.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.138 * [backup-simplify]: Simplify (sqrt 0) into 0
22.139 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
22.140 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.141 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
22.143 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
22.143 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.144 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
22.144 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.147 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.150 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
22.151 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
22.153 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
22.153 * [backup-simplify]: Simplify (* +nan.0 0) into 0
22.154 * [backup-simplify]: Simplify (- 0) into 0
22.154 * [backup-simplify]: Simplify (+ 0 0) into 0
22.155 * [backup-simplify]: Simplify (- 0) into 0
22.155 * [backup-simplify]: Simplify (+ 0 0) into 0
22.156 * [backup-simplify]: Simplify (- 0) into 0
22.156 * [backup-simplify]: Simplify 0 into 0
22.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.162 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.163 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
22.166 * [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))))))))
22.173 * [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))))))))
22.176 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
22.182 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
22.186 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
22.195 * [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))))))))))
22.203 * [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)))))))
22.211 * [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)))))))
22.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.218 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
22.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
22.225 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
22.234 * [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))))
22.239 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
22.243 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
22.260 * [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)))))))))))))
22.262 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
22.262 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
22.262 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
22.262 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
22.262 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.262 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.262 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
22.262 * [taylor]: Taking taylor expansion of 1/2 in n
22.262 * [backup-simplify]: Simplify 1/2 into 1/2
22.262 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
22.262 * [taylor]: Taking taylor expansion of 1 in n
22.262 * [backup-simplify]: Simplify 1 into 1
22.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.263 * [taylor]: Taking taylor expansion of k in n
22.263 * [backup-simplify]: Simplify k into k
22.263 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.263 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.263 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.263 * [taylor]: Taking taylor expansion of 2 in n
22.263 * [backup-simplify]: Simplify 2 into 2
22.263 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.263 * [taylor]: Taking taylor expansion of PI in n
22.263 * [backup-simplify]: Simplify PI into PI
22.263 * [taylor]: Taking taylor expansion of n in n
22.263 * [backup-simplify]: Simplify 0 into 0
22.263 * [backup-simplify]: Simplify 1 into 1
22.264 * [backup-simplify]: Simplify (/ PI 1) into PI
22.264 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.265 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.266 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.266 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
22.266 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
22.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.268 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
22.270 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
22.270 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.270 * [taylor]: Taking taylor expansion of k in n
22.270 * [backup-simplify]: Simplify k into k
22.270 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.270 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
22.270 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
22.270 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
22.270 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
22.270 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
22.270 * [taylor]: Taking taylor expansion of 1/2 in k
22.270 * [backup-simplify]: Simplify 1/2 into 1/2
22.270 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
22.270 * [taylor]: Taking taylor expansion of 1 in k
22.270 * [backup-simplify]: Simplify 1 into 1
22.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.270 * [taylor]: Taking taylor expansion of k in k
22.270 * [backup-simplify]: Simplify 0 into 0
22.270 * [backup-simplify]: Simplify 1 into 1
22.271 * [backup-simplify]: Simplify (/ 1 1) into 1
22.271 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
22.271 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
22.271 * [taylor]: Taking taylor expansion of 2 in k
22.271 * [backup-simplify]: Simplify 2 into 2
22.271 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.271 * [taylor]: Taking taylor expansion of PI in k
22.271 * [backup-simplify]: Simplify PI into PI
22.271 * [taylor]: Taking taylor expansion of n in k
22.271 * [backup-simplify]: Simplify n into n
22.271 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.271 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
22.271 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
22.272 * [backup-simplify]: Simplify (- 1) into -1
22.272 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.273 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
22.273 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
22.273 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
22.273 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.273 * [taylor]: Taking taylor expansion of k in k
22.273 * [backup-simplify]: Simplify 0 into 0
22.273 * [backup-simplify]: Simplify 1 into 1
22.273 * [backup-simplify]: Simplify (sqrt 0) into 0
22.275 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.275 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
22.275 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
22.275 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
22.275 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
22.275 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
22.275 * [taylor]: Taking taylor expansion of 1/2 in k
22.275 * [backup-simplify]: Simplify 1/2 into 1/2
22.275 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
22.275 * [taylor]: Taking taylor expansion of 1 in k
22.275 * [backup-simplify]: Simplify 1 into 1
22.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.276 * [taylor]: Taking taylor expansion of k in k
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify 1 into 1
22.276 * [backup-simplify]: Simplify (/ 1 1) into 1
22.276 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
22.276 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
22.276 * [taylor]: Taking taylor expansion of 2 in k
22.276 * [backup-simplify]: Simplify 2 into 2
22.276 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.276 * [taylor]: Taking taylor expansion of PI in k
22.276 * [backup-simplify]: Simplify PI into PI
22.276 * [taylor]: Taking taylor expansion of n in k
22.276 * [backup-simplify]: Simplify n into n
22.276 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.276 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
22.277 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
22.277 * [backup-simplify]: Simplify (- 1) into -1
22.277 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.278 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
22.278 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
22.278 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
22.278 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.278 * [taylor]: Taking taylor expansion of k in k
22.278 * [backup-simplify]: Simplify 0 into 0
22.278 * [backup-simplify]: Simplify 1 into 1
22.279 * [backup-simplify]: Simplify (sqrt 0) into 0
22.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.281 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
22.281 * [taylor]: Taking taylor expansion of 0 in n
22.281 * [backup-simplify]: Simplify 0 into 0
22.281 * [backup-simplify]: Simplify 0 into 0
22.281 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
22.281 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
22.281 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
22.281 * [taylor]: Taking taylor expansion of +nan.0 in n
22.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.281 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
22.281 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
22.282 * [taylor]: Taking taylor expansion of 1/2 in n
22.282 * [backup-simplify]: Simplify 1/2 into 1/2
22.282 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
22.282 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
22.282 * [taylor]: Taking taylor expansion of 1 in n
22.282 * [backup-simplify]: Simplify 1 into 1
22.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.282 * [taylor]: Taking taylor expansion of k in n
22.282 * [backup-simplify]: Simplify k into k
22.282 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.282 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.282 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.282 * [taylor]: Taking taylor expansion of 2 in n
22.282 * [backup-simplify]: Simplify 2 into 2
22.282 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.282 * [taylor]: Taking taylor expansion of PI in n
22.282 * [backup-simplify]: Simplify PI into PI
22.282 * [taylor]: Taking taylor expansion of n in n
22.282 * [backup-simplify]: Simplify 0 into 0
22.282 * [backup-simplify]: Simplify 1 into 1
22.282 * [backup-simplify]: Simplify (/ PI 1) into PI
22.283 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.289 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.289 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.289 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
22.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.290 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
22.291 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
22.292 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
22.292 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
22.293 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.294 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.294 * [backup-simplify]: Simplify 0 into 0
22.296 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.296 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
22.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
22.296 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
22.296 * [taylor]: Taking taylor expansion of +nan.0 in n
22.296 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.296 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
22.296 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
22.296 * [taylor]: Taking taylor expansion of 1/2 in n
22.296 * [backup-simplify]: Simplify 1/2 into 1/2
22.296 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
22.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
22.297 * [taylor]: Taking taylor expansion of 1 in n
22.297 * [backup-simplify]: Simplify 1 into 1
22.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.297 * [taylor]: Taking taylor expansion of k in n
22.297 * [backup-simplify]: Simplify k into k
22.297 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.297 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.297 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.297 * [taylor]: Taking taylor expansion of 2 in n
22.297 * [backup-simplify]: Simplify 2 into 2
22.297 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.297 * [taylor]: Taking taylor expansion of PI in n
22.297 * [backup-simplify]: Simplify PI into PI
22.297 * [taylor]: Taking taylor expansion of n in n
22.297 * [backup-simplify]: Simplify 0 into 0
22.297 * [backup-simplify]: Simplify 1 into 1
22.297 * [backup-simplify]: Simplify (/ PI 1) into PI
22.297 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.298 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.298 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.298 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
22.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.300 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
22.301 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
22.301 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
22.302 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
22.303 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.304 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.305 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.306 * [backup-simplify]: Simplify (- 0) into 0
22.306 * [backup-simplify]: Simplify (+ 0 0) into 0
22.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.308 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
22.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
22.310 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.311 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
22.311 * [backup-simplify]: Simplify (- 0) into 0
22.311 * [backup-simplify]: Simplify 0 into 0
22.311 * [backup-simplify]: Simplify 0 into 0
22.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.314 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
22.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
22.314 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
22.314 * [taylor]: Taking taylor expansion of +nan.0 in n
22.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.314 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
22.314 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
22.315 * [taylor]: Taking taylor expansion of 1/2 in n
22.315 * [backup-simplify]: Simplify 1/2 into 1/2
22.315 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
22.315 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
22.315 * [taylor]: Taking taylor expansion of 1 in n
22.315 * [backup-simplify]: Simplify 1 into 1
22.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.315 * [taylor]: Taking taylor expansion of k in n
22.315 * [backup-simplify]: Simplify k into k
22.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.315 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.315 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.315 * [taylor]: Taking taylor expansion of 2 in n
22.315 * [backup-simplify]: Simplify 2 into 2
22.315 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.315 * [taylor]: Taking taylor expansion of PI in n
22.315 * [backup-simplify]: Simplify PI into PI
22.315 * [taylor]: Taking taylor expansion of n in n
22.315 * [backup-simplify]: Simplify 0 into 0
22.315 * [backup-simplify]: Simplify 1 into 1
22.316 * [backup-simplify]: Simplify (/ PI 1) into PI
22.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.317 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
22.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.320 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
22.321 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
22.323 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
22.324 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
22.325 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.326 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
22.331 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
22.332 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
22.332 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
22.332 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
22.332 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
22.332 * [taylor]: Taking taylor expansion of (/ k -1) in n
22.332 * [taylor]: Taking taylor expansion of k in n
22.332 * [backup-simplify]: Simplify k into k
22.332 * [taylor]: Taking taylor expansion of -1 in n
22.332 * [backup-simplify]: Simplify -1 into -1
22.332 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
22.332 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
22.333 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
22.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
22.333 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
22.333 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
22.333 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
22.333 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
22.333 * [taylor]: Taking taylor expansion of 1/2 in n
22.333 * [backup-simplify]: Simplify 1/2 into 1/2
22.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
22.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.334 * [taylor]: Taking taylor expansion of k in n
22.334 * [backup-simplify]: Simplify k into k
22.334 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.334 * [taylor]: Taking taylor expansion of 1 in n
22.334 * [backup-simplify]: Simplify 1 into 1
22.334 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.334 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.334 * [taylor]: Taking taylor expansion of -2 in n
22.334 * [backup-simplify]: Simplify -2 into -2
22.334 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.334 * [taylor]: Taking taylor expansion of PI in n
22.334 * [backup-simplify]: Simplify PI into PI
22.334 * [taylor]: Taking taylor expansion of n in n
22.334 * [backup-simplify]: Simplify 0 into 0
22.334 * [backup-simplify]: Simplify 1 into 1
22.335 * [backup-simplify]: Simplify (/ PI 1) into PI
22.335 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.336 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.336 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
22.337 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
22.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.339 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
22.340 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
22.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
22.340 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
22.340 * [taylor]: Taking taylor expansion of (/ k -1) in k
22.340 * [taylor]: Taking taylor expansion of k in k
22.341 * [backup-simplify]: Simplify 0 into 0
22.341 * [backup-simplify]: Simplify 1 into 1
22.341 * [taylor]: Taking taylor expansion of -1 in k
22.341 * [backup-simplify]: Simplify -1 into -1
22.341 * [backup-simplify]: Simplify (/ 1 -1) into -1
22.341 * [backup-simplify]: Simplify (sqrt 0) into 0
22.343 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.343 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
22.343 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
22.343 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
22.343 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
22.343 * [taylor]: Taking taylor expansion of 1/2 in k
22.343 * [backup-simplify]: Simplify 1/2 into 1/2
22.343 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
22.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.343 * [taylor]: Taking taylor expansion of k in k
22.343 * [backup-simplify]: Simplify 0 into 0
22.343 * [backup-simplify]: Simplify 1 into 1
22.344 * [backup-simplify]: Simplify (/ 1 1) into 1
22.344 * [taylor]: Taking taylor expansion of 1 in k
22.344 * [backup-simplify]: Simplify 1 into 1
22.344 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
22.344 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
22.344 * [taylor]: Taking taylor expansion of -2 in k
22.344 * [backup-simplify]: Simplify -2 into -2
22.344 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.344 * [taylor]: Taking taylor expansion of PI in k
22.344 * [backup-simplify]: Simplify PI into PI
22.344 * [taylor]: Taking taylor expansion of n in k
22.344 * [backup-simplify]: Simplify n into n
22.344 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.344 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
22.344 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
22.345 * [backup-simplify]: Simplify (+ 1 0) into 1
22.345 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.345 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
22.345 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
22.345 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
22.345 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
22.346 * [taylor]: Taking taylor expansion of (/ k -1) in k
22.346 * [taylor]: Taking taylor expansion of k in k
22.346 * [backup-simplify]: Simplify 0 into 0
22.346 * [backup-simplify]: Simplify 1 into 1
22.346 * [taylor]: Taking taylor expansion of -1 in k
22.346 * [backup-simplify]: Simplify -1 into -1
22.346 * [backup-simplify]: Simplify (/ 1 -1) into -1
22.347 * [backup-simplify]: Simplify (sqrt 0) into 0
22.348 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.348 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
22.348 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
22.348 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
22.348 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
22.348 * [taylor]: Taking taylor expansion of 1/2 in k
22.348 * [backup-simplify]: Simplify 1/2 into 1/2
22.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
22.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.348 * [taylor]: Taking taylor expansion of k in k
22.348 * [backup-simplify]: Simplify 0 into 0
22.348 * [backup-simplify]: Simplify 1 into 1
22.349 * [backup-simplify]: Simplify (/ 1 1) into 1
22.349 * [taylor]: Taking taylor expansion of 1 in k
22.349 * [backup-simplify]: Simplify 1 into 1
22.349 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
22.349 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
22.349 * [taylor]: Taking taylor expansion of -2 in k
22.349 * [backup-simplify]: Simplify -2 into -2
22.349 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.349 * [taylor]: Taking taylor expansion of PI in k
22.349 * [backup-simplify]: Simplify PI into PI
22.349 * [taylor]: Taking taylor expansion of n in k
22.349 * [backup-simplify]: Simplify n into n
22.349 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.349 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
22.349 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
22.350 * [backup-simplify]: Simplify (+ 1 0) into 1
22.350 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.351 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
22.351 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
22.351 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0
22.351 * [taylor]: Taking taylor expansion of 0 in n
22.351 * [backup-simplify]: Simplify 0 into 0
22.351 * [backup-simplify]: Simplify 0 into 0
22.352 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
22.352 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
22.352 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
22.352 * [taylor]: Taking taylor expansion of +nan.0 in n
22.352 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.352 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
22.352 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
22.352 * [taylor]: Taking taylor expansion of 1/2 in n
22.352 * [backup-simplify]: Simplify 1/2 into 1/2
22.352 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
22.352 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.352 * [taylor]: Taking taylor expansion of -2 in n
22.352 * [backup-simplify]: Simplify -2 into -2
22.352 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.352 * [taylor]: Taking taylor expansion of PI in n
22.352 * [backup-simplify]: Simplify PI into PI
22.352 * [taylor]: Taking taylor expansion of n in n
22.352 * [backup-simplify]: Simplify 0 into 0
22.352 * [backup-simplify]: Simplify 1 into 1
22.353 * [backup-simplify]: Simplify (/ PI 1) into PI
22.353 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.354 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
22.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.354 * [taylor]: Taking taylor expansion of k in n
22.354 * [backup-simplify]: Simplify k into k
22.354 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.354 * [taylor]: Taking taylor expansion of 1 in n
22.355 * [backup-simplify]: Simplify 1 into 1
22.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.356 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
22.357 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
22.358 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
22.360 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
22.361 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
22.362 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.363 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.364 * [backup-simplify]: Simplify 0 into 0
22.364 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
22.368 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
22.369 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
22.369 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
22.369 * [taylor]: Taking taylor expansion of +nan.0 in n
22.369 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.369 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
22.369 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
22.369 * [taylor]: Taking taylor expansion of 1/2 in n
22.369 * [backup-simplify]: Simplify 1/2 into 1/2
22.369 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
22.369 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.369 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.369 * [taylor]: Taking taylor expansion of -2 in n
22.369 * [backup-simplify]: Simplify -2 into -2
22.369 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.369 * [taylor]: Taking taylor expansion of PI in n
22.369 * [backup-simplify]: Simplify PI into PI
22.369 * [taylor]: Taking taylor expansion of n in n
22.369 * [backup-simplify]: Simplify 0 into 0
22.369 * [backup-simplify]: Simplify 1 into 1
22.370 * [backup-simplify]: Simplify (/ PI 1) into PI
22.370 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.372 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
22.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.372 * [taylor]: Taking taylor expansion of k in n
22.372 * [backup-simplify]: Simplify k into k
22.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.372 * [taylor]: Taking taylor expansion of 1 in n
22.372 * [backup-simplify]: Simplify 1 into 1
22.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.374 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
22.375 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
22.376 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
22.377 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
22.379 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
22.380 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.381 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.383 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.383 * [backup-simplify]: Simplify (+ 0 0) into 0
22.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.386 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
22.390 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
22.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
22.394 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.395 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
22.396 * [backup-simplify]: Simplify (- 0) into 0
22.396 * [backup-simplify]: Simplify 0 into 0
22.396 * [backup-simplify]: Simplify 0 into 0
22.396 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
22.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
22.400 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
22.400 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
22.400 * [taylor]: Taking taylor expansion of +nan.0 in n
22.400 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.400 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
22.400 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
22.400 * [taylor]: Taking taylor expansion of 1/2 in n
22.400 * [backup-simplify]: Simplify 1/2 into 1/2
22.400 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
22.400 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.400 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.400 * [taylor]: Taking taylor expansion of -2 in n
22.400 * [backup-simplify]: Simplify -2 into -2
22.400 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.400 * [taylor]: Taking taylor expansion of PI in n
22.400 * [backup-simplify]: Simplify PI into PI
22.400 * [taylor]: Taking taylor expansion of n in n
22.400 * [backup-simplify]: Simplify 0 into 0
22.400 * [backup-simplify]: Simplify 1 into 1
22.400 * [backup-simplify]: Simplify (/ PI 1) into PI
22.401 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.401 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
22.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.401 * [taylor]: Taking taylor expansion of k in n
22.401 * [backup-simplify]: Simplify k into k
22.401 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.401 * [taylor]: Taking taylor expansion of 1 in n
22.402 * [backup-simplify]: Simplify 1 into 1
22.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.403 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
22.403 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
22.405 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
22.406 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
22.406 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
22.407 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.408 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
22.416 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
22.416 * * * [progress]: simplifying candidates
22.416 * * * * [progress]: [ 1 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.416 * * * * [progress]: [ 2 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.416 * * * * [progress]: [ 3 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 4 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 5 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 6 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 7 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 8 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 9 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 10 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
22.416 * * * * [progress]: [ 11 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 12 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
22.416 * * * * [progress]: [ 13 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
22.416 * * * * [progress]: [ 14 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
22.416 * * * * [progress]: [ 15 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
22.416 * * * * [progress]: [ 16 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
22.417 * * * * [progress]: [ 17 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
22.417 * * * * [progress]: [ 18 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
22.417 * * * * [progress]: [ 19 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
22.417 * * * * [progress]: [ 20 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
22.417 * * * * [progress]: [ 21 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
22.417 * * * * [progress]: [ 22 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
22.417 * * * * [progress]: [ 23 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
22.417 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
22.417 * * * * [progress]: [ 25 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
22.417 * * * * [progress]: [ 26 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
22.417 * * * * [progress]: [ 27 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
22.417 * * * * [progress]: [ 28 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
22.417 * * * * [progress]: [ 29 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
22.417 * * * * [progress]: [ 30 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
22.417 * * * * [progress]: [ 31 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
22.417 * * * * [progress]: [ 32 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
22.417 * * * * [progress]: [ 33 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
22.417 * * * * [progress]: [ 34 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
22.417 * * * * [progress]: [ 35 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.417 * * * * [progress]: [ 36 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.417 * * * * [progress]: [ 37 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.417 * * * * [progress]: [ 38 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.417 * * * * [progress]: [ 39 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.417 * * * * [progress]: [ 40 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.417 * * * * [progress]: [ 41 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
22.418 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.418 * * * * [progress]: [ 43 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 44 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 45 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 46 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 47 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 48 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 49 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 50 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 51 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 52 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 53 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 54 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 55 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 56 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 57 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 58 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 59 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 60 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 61 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 63 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
22.418 * * * * [progress]: [ 64 / 118 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.418 * * * * [progress]: [ 65 / 118 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.418 * * * * [progress]: [ 66 / 118 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
22.418 * * * * [progress]: [ 67 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 68 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 69 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 70 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 71 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 72 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 73 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 75 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 76 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 77 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 78 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 79 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 80 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 81 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 82 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 83 / 118 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 84 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 85 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 86 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 87 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 88 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.419 * * * * [progress]: [ 89 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 90 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
22.419 * * * * [progress]: [ 91 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.419 * * * * [progress]: [ 92 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
22.420 * * * * [progress]: [ 93 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.420 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
22.420 * * * * [progress]: [ 95 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
22.420 * * * * [progress]: [ 96 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 97 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 98 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
22.420 * * * * [progress]: [ 99 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
22.420 * * * * [progress]: [ 100 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 101 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 102 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 -1/2) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 103 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 104 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 105 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
22.420 * * * * [progress]: [ 107 / 118 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
22.420 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.420 * * * * [progress]: [ 109 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
22.420 * * * * [progress]: [ 110 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (- (+ (* 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)))))))>
22.420 * * * * [progress]: [ 111 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
22.420 * * * * [progress]: [ 112 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
22.420 * * * * [progress]: [ 113 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
22.420 * * * * [progress]: [ 114 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
22.420 * * * * [progress]: [ 115 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
22.420 * * * * [progress]: [ 116 / 118 ] 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))))))))))))))>
22.420 * * * * [progress]: [ 117 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
22.420 * * * * [progress]: [ 118 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))))>
22.422 * [simplify]: Simplifying:
  (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (expm1 (* (* 2 PI) n))
  (log1p (* (* 2 PI) n))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (expm1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log1p (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k -1/2) 1)
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2)))
  (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 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 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (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 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
22.424 * * [simplify]: iteration 1: (264 enodes)
22.516 * * [simplify]: iteration 2: (731 enodes)
23.490 * * [simplify]: Extracting #0: cost 77 inf + 0
23.491 * * [simplify]: Extracting #1: cost 394 inf + 0
23.494 * * [simplify]: Extracting #2: cost 725 inf + 8604
23.504 * * [simplify]: Extracting #3: cost 658 inf + 60943
23.538 * * [simplify]: Extracting #4: cost 372 inf + 170499
23.607 * * [simplify]: Extracting #5: cost 130 inf + 274893
23.689 * * [simplify]: Extracting #6: cost 34 inf + 316140
23.780 * * [simplify]: Extracting #7: cost 7 inf + 332947
23.838 * * [simplify]: Extracting #8: cost 0 inf + 336080
23.930 * * [simplify]: Extracting #9: cost 0 inf + 334750
23.996 * * [simplify]: Extracting #10: cost 0 inf + 334590
24.096 * [simplify]: Simplified to:
  (expm1 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (log1p (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* n 2) PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* n 2) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* n 2) PI) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* n 2) PI) (sqrt (- 1 k)))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* n 2) PI) (+ (sqrt k) 1))
  (pow (* (* n 2) PI) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* n 2) PI) (+ (sqrt k) 1))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (- 1 k))
  (pow (* PI 2) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (/ (- 1 k) 4))
  (pow (* (* n 2) PI) (/ (- 1 k) 4))
  (real->posit16 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (expm1 (* (* n 2) PI))
  (log1p (* (* n 2) PI))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* (* PI (* PI PI)) 8) n) (* n n))
  (* (* (* n 2) PI) (* (* (* n 2) PI) (* (* n 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))
  (* (cbrt n) (* 2 (* PI (cbrt n))))
  (* (sqrt n) (* PI 2))
  (* PI 2)
  (* n PI)
  (real->posit16 (* (* n 2) PI))
  (expm1 (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (log1p (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (fma (log (* (* n 2) PI)) (/ (- 1 k) 2) (* -1/2 (log k)))
  (exp (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow k -1/2))) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (cbrt (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))
  (cbrt (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow k -1/2))) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (sqrt (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
  (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
  (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))
  (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow k -1/4))
  (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow k -1/4))
  (* (pow k -1/4) (pow (* (* n 2) PI) (/ (- 1 k) 4)))
  (* (pow k -1/4) (pow (* (* n 2) PI) (/ (- 1 k) 4)))
  (* (pow (* PI 2) (/ (- 1 k) 2)) (pow k -1/2))
  (* (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow k -1/2)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (pow k -1/2) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (pow k -1/2)
  (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 4)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (cbrt k) -1/2))
  (* (pow (sqrt k) -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (pow k -1/2)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (pow k -1/2)))
  (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (pow k -1/4) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (pow k -1/2) (sqrt (* (* n 2) PI)))
  (real->posit16 (* (pow k -1/2) (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (- (+ (fma 1/4 (* (* (sqrt (* (* n 2) PI)) (log (* PI 2))) (* (log n) (* k k))) (* (* (sqrt (* (* n 2) PI)) 1/8) (* (log n) (* (log n) (* k k))))) (fma (* (* (log (* PI 2)) (log (* PI 2))) 1/8) (* (sqrt (* (* n 2) PI)) (* k k)) (sqrt (* (* n 2) PI)))) (* (* k (+ (* (sqrt (* (* n 2) PI)) (log n)) (* (sqrt (* (* n 2) PI)) (log (* PI 2))))) 1/2))
  (exp (* (log (* (* n 2) PI)) (* 1/2 (- 1 k))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (* (* (sqrt 2) +nan.0) (- (* (* n PI) k))) (fma (* (sqrt 2) +nan.0) (* n PI) (+ (* (* (sqrt 2) +nan.0) (- (* (* (log n) k) (* PI n)) (* (* PI n) (* PI n)))) (* (* (* (* n PI) k) (* (sqrt 2) (log (* PI 2)))) (- +nan.0)))))
  (+ (* (- +nan.0) (/ (exp (* (log (* (* n 2) PI)) (* 1/2 (- 1 k)))) k)) (* +nan.0 (- (/ (exp (* (log (* (* n 2) PI)) (* 1/2 (- 1 k)))) (* k k)) (/ (/ (exp (* (log (* (* n 2) PI)) (* 1/2 (- 1 k)))) k) (* k k)))))
  (- (- (/ +nan.0 (/ (* (* k k) k) (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (* +nan.0 (- (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)))))
24.105 * * * [progress]: adding candidates to table
25.630 * [progress]: [Phase 3 of 3] Extracting.
25.630 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (/ (sqrt (* (* n 2) PI)) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>)
25.632 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2 PI) n) n k)
25.633 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (/ (sqrt (* (* n 2) PI)) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>)
25.731 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (/ (sqrt (* (* n 2) PI)) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>)
25.789 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (/ (sqrt (* (* n 2) PI)) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (* -1/2 k)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>)
25.840 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
25.841 * [simplify]: Simplifying:
  (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
25.841 * * [simplify]: iteration 1: (15 enodes)
25.842 * * [simplify]: iteration 2: (19 enodes)
25.843 * * [simplify]: Extracting #0: cost 1 inf + 0
25.843 * * [simplify]: Extracting #1: cost 3 inf + 0
25.843 * * [simplify]: Extracting #2: cost 5 inf + 0
25.843 * * [simplify]: Extracting #3: cost 9 inf + 0
25.843 * * [simplify]: Extracting #4: cost 11 inf + 2
25.843 * * [simplify]: Extracting #5: cost 10 inf + 216
25.843 * * [simplify]: Extracting #6: cost 5 inf + 385
25.843 * * [simplify]: Extracting #7: cost 3 inf + 843
25.844 * * [simplify]: Extracting #8: cost 1 inf + 1924
25.844 * * [simplify]: Extracting #9: cost 0 inf + 2630
25.844 * [simplify]: Simplified to:
  (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
34.627 * [regime-testing]: Baseline error score: 0.4555844633527377
34.629 * [regime-testing]: Oracle error score: 0.03059818571098431
34.634 * [regime-testing]: End program error score: 0.4555844633527377