58.327 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.289 * * * [progress]: [2/2] Setting up program.
0.296 * [progress]: [Phase 2 of 3] Improving.
0.296 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.296 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.296 * * [simplify]: iteration 0: 13 enodes
0.322 * * [simplify]: iteration 1: 31 enodes
0.328 * * [simplify]: iteration 2: 62 enodes
0.342 * * [simplify]: iteration 3: 124 enodes
0.375 * * [simplify]: iteration 4: 327 enodes
0.641 * * [simplify]: iteration 5: 929 enodes
1.754 * * [simplify]: iteration 6: 2719 enodes
2.680 * * [simplify]: iteration complete: 5000 enodes
2.681 * * [simplify]: Extracting #0: cost 1 inf + 0
2.681 * * [simplify]: Extracting #1: cost 61 inf + 0
2.684 * * [simplify]: Extracting #2: cost 488 inf + 1
2.690 * * [simplify]: Extracting #3: cost 953 inf + 92
2.705 * * [simplify]: Extracting #4: cost 921 inf + 18841
2.721 * * [simplify]: Extracting #5: cost 645 inf + 66373
2.769 * * [simplify]: Extracting #6: cost 241 inf + 329522
2.859 * * [simplify]: Extracting #7: cost 5 inf + 560024
2.964 * * [simplify]: Extracting #8: cost 0 inf + 561759
3.061 * * [simplify]: Extracting #9: cost 0 inf + 561250
3.198 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
3.202 * * [progress]: iteration 1 / 4
3.202 * * * [progress]: picking best candidate
3.208 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.208 * * * [progress]: localizing error
3.235 * * * [progress]: generating rewritten candidates
3.235 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1)
3.261 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
3.284 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
3.319 * * * [progress]: generating series expansions
3.320 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1)
3.320 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
3.320 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
3.320 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.320 * [taylor]: Taking taylor expansion of 2 in n
3.320 * [backup-simplify]: Simplify 2 into 2
3.320 * [taylor]: Taking taylor expansion of (* n PI) in n
3.320 * [taylor]: Taking taylor expansion of n in n
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [taylor]: Taking taylor expansion of PI in n
3.320 * [backup-simplify]: Simplify PI into PI
3.320 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.320 * [taylor]: Taking taylor expansion of 2 in n
3.320 * [backup-simplify]: Simplify 2 into 2
3.320 * [taylor]: Taking taylor expansion of (* n PI) in n
3.320 * [taylor]: Taking taylor expansion of n in n
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [taylor]: Taking taylor expansion of PI in n
3.320 * [backup-simplify]: Simplify PI into PI
3.321 * [backup-simplify]: Simplify (* 0 PI) into 0
3.321 * [backup-simplify]: Simplify (* 2 0) into 0
3.321 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.323 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.324 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.325 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.327 * [backup-simplify]: Simplify 0 into 0
3.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.328 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
3.330 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
3.332 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
3.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
3.335 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
3.335 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
3.335 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.335 * [taylor]: Taking taylor expansion of 2 in n
3.335 * [backup-simplify]: Simplify 2 into 2
3.335 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.335 * [taylor]: Taking taylor expansion of PI in n
3.335 * [backup-simplify]: Simplify PI into PI
3.335 * [taylor]: Taking taylor expansion of n in n
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.335 * [backup-simplify]: Simplify (/ PI 1) into PI
3.335 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.335 * [taylor]: Taking taylor expansion of 2 in n
3.335 * [backup-simplify]: Simplify 2 into 2
3.335 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.335 * [taylor]: Taking taylor expansion of PI in n
3.335 * [backup-simplify]: Simplify PI into PI
3.335 * [taylor]: Taking taylor expansion of n in n
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.335 * [backup-simplify]: Simplify (/ PI 1) into PI
3.336 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.336 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.337 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.338 * [backup-simplify]: Simplify 0 into 0
3.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.349 * [backup-simplify]: Simplify 0 into 0
3.350 * [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
3.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.352 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
3.353 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
3.353 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
3.353 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.353 * [taylor]: Taking taylor expansion of -2 in n
3.353 * [backup-simplify]: Simplify -2 into -2
3.353 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.353 * [taylor]: Taking taylor expansion of PI in n
3.353 * [backup-simplify]: Simplify PI into PI
3.353 * [taylor]: Taking taylor expansion of n in n
3.353 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify 1 into 1
3.354 * [backup-simplify]: Simplify (/ PI 1) into PI
3.354 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.354 * [taylor]: Taking taylor expansion of -2 in n
3.354 * [backup-simplify]: Simplify -2 into -2
3.354 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.354 * [taylor]: Taking taylor expansion of PI in n
3.354 * [backup-simplify]: Simplify PI into PI
3.354 * [taylor]: Taking taylor expansion of n in n
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (/ PI 1) into PI
3.355 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.356 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.358 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.363 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.365 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.366 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.366 * [backup-simplify]: Simplify 0 into 0
3.367 * [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
3.368 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.368 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
3.368 * * * * [progress]: [ 2 / 3 ] generating series at (2)
3.369 * [backup-simplify]: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
3.369 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
3.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
3.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.369 * [taylor]: Taking taylor expansion of k in k
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ 1 1) into 1
3.369 * [backup-simplify]: Simplify (sqrt 0) into 0
3.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.370 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.370 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.370 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.370 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.370 * [taylor]: Taking taylor expansion of 1/2 in k
3.370 * [backup-simplify]: Simplify 1/2 into 1/2
3.370 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.370 * [taylor]: Taking taylor expansion of 1/2 in k
3.370 * [backup-simplify]: Simplify 1/2 into 1/2
3.370 * [taylor]: Taking taylor expansion of k in k
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.370 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.370 * [taylor]: Taking taylor expansion of 2 in k
3.370 * [backup-simplify]: Simplify 2 into 2
3.370 * [taylor]: Taking taylor expansion of (* n PI) in k
3.370 * [taylor]: Taking taylor expansion of n in k
3.370 * [backup-simplify]: Simplify n into n
3.370 * [taylor]: Taking taylor expansion of PI in k
3.370 * [backup-simplify]: Simplify PI into PI
3.371 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.371 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.371 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.371 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.371 * [backup-simplify]: Simplify (- 0) into 0
3.372 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.372 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.372 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.372 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.372 * [taylor]: Taking taylor expansion of k in n
3.372 * [backup-simplify]: Simplify k into k
3.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.372 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.372 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.372 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.372 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.372 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.372 * [taylor]: Taking taylor expansion of 1/2 in n
3.372 * [backup-simplify]: Simplify 1/2 into 1/2
3.372 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.372 * [taylor]: Taking taylor expansion of 1/2 in n
3.372 * [backup-simplify]: Simplify 1/2 into 1/2
3.372 * [taylor]: Taking taylor expansion of k in n
3.372 * [backup-simplify]: Simplify k into k
3.372 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.372 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.372 * [taylor]: Taking taylor expansion of 2 in n
3.372 * [backup-simplify]: Simplify 2 into 2
3.372 * [taylor]: Taking taylor expansion of (* n PI) in n
3.372 * [taylor]: Taking taylor expansion of n in n
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify 1 into 1
3.372 * [taylor]: Taking taylor expansion of PI in n
3.372 * [backup-simplify]: Simplify PI into PI
3.373 * [backup-simplify]: Simplify (* 0 PI) into 0
3.373 * [backup-simplify]: Simplify (* 2 0) into 0
3.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.375 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.376 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.376 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.376 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.376 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.377 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.377 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.378 * [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)))))
3.378 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.378 * [taylor]: Taking taylor expansion of k in n
3.378 * [backup-simplify]: Simplify k into k
3.378 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.378 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.378 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.378 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.378 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.378 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.378 * [taylor]: Taking taylor expansion of 1/2 in n
3.378 * [backup-simplify]: Simplify 1/2 into 1/2
3.378 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.378 * [taylor]: Taking taylor expansion of 1/2 in n
3.378 * [backup-simplify]: Simplify 1/2 into 1/2
3.378 * [taylor]: Taking taylor expansion of k in n
3.378 * [backup-simplify]: Simplify k into k
3.378 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.379 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.379 * [taylor]: Taking taylor expansion of 2 in n
3.379 * [backup-simplify]: Simplify 2 into 2
3.379 * [taylor]: Taking taylor expansion of (* n PI) in n
3.379 * [taylor]: Taking taylor expansion of n in n
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.379 * [taylor]: Taking taylor expansion of PI in n
3.379 * [backup-simplify]: Simplify PI into PI
3.379 * [backup-simplify]: Simplify (* 0 PI) into 0
3.379 * [backup-simplify]: Simplify (* 2 0) into 0
3.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.381 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.382 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.382 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.382 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.382 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.384 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.384 * [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)))))
3.385 * [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)))
3.385 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
3.385 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.385 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.385 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.385 * [taylor]: Taking taylor expansion of 1/2 in k
3.385 * [backup-simplify]: Simplify 1/2 into 1/2
3.385 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.385 * [taylor]: Taking taylor expansion of 1/2 in k
3.385 * [backup-simplify]: Simplify 1/2 into 1/2
3.385 * [taylor]: Taking taylor expansion of k in k
3.385 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify 1 into 1
3.385 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.385 * [taylor]: Taking taylor expansion of (log n) in k
3.385 * [taylor]: Taking taylor expansion of n in k
3.385 * [backup-simplify]: Simplify n into n
3.385 * [backup-simplify]: Simplify (log n) into (log n)
3.385 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.385 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.385 * [taylor]: Taking taylor expansion of 2 in k
3.385 * [backup-simplify]: Simplify 2 into 2
3.385 * [taylor]: Taking taylor expansion of PI in k
3.385 * [backup-simplify]: Simplify PI into PI
3.386 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.386 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.387 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.387 * [backup-simplify]: Simplify (- 0) into 0
3.387 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.388 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.389 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.389 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.389 * [taylor]: Taking taylor expansion of k in k
3.389 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify 1 into 1
3.390 * [backup-simplify]: Simplify (/ 1 1) into 1
3.390 * [backup-simplify]: Simplify (sqrt 0) into 0
3.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.391 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
3.391 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.393 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.394 * [backup-simplify]: Simplify (- 0) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.396 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.398 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.400 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
3.400 * [taylor]: Taking taylor expansion of 0 in k
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.401 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.404 * [backup-simplify]: Simplify (+ 0 0) into 0
3.404 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.405 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.405 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.410 * [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)))))))
3.414 * [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)))))))
3.416 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.422 * [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
3.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.423 * [backup-simplify]: Simplify (- 0) into 0
3.424 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.427 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.429 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
3.432 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
3.432 * [taylor]: Taking taylor expansion of 0 in k
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.436 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.442 * [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
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.444 * [backup-simplify]: Simplify (- 0) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.450 * [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)))))
3.459 * [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))))))))
3.464 * [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))))))))
3.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.477 * [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
3.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
3.478 * [backup-simplify]: Simplify (- 0) into 0
3.479 * [backup-simplify]: Simplify (+ 0 0) into 0
3.480 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.482 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
3.485 * [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
3.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
3.489 * [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
3.489 * [taylor]: Taking taylor expansion of 0 in k
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.496 * [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
3.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.503 * [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
3.504 * [backup-simplify]: Simplify (+ 0 0) into 0
3.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.505 * [backup-simplify]: Simplify (- 0) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
3.515 * [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)))))))
3.534 * [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))))))))))))))
3.545 * [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))))))))))))))
3.564 * [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))))))))))))))))))))))
3.564 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
3.564 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
3.564 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
3.564 * [taylor]: Taking taylor expansion of (sqrt k) in k
3.564 * [taylor]: Taking taylor expansion of k in k
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.565 * [backup-simplify]: Simplify (sqrt 0) into 0
3.566 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.566 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
3.566 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
3.566 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
3.566 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.566 * [taylor]: Taking taylor expansion of 1/2 in k
3.566 * [backup-simplify]: Simplify 1/2 into 1/2
3.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.566 * [taylor]: Taking taylor expansion of 1/2 in k
3.566 * [backup-simplify]: Simplify 1/2 into 1/2
3.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.567 * [taylor]: Taking taylor expansion of k in k
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [backup-simplify]: Simplify (/ 1 1) into 1
3.567 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
3.567 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
3.567 * [taylor]: Taking taylor expansion of 2 in k
3.567 * [backup-simplify]: Simplify 2 into 2
3.567 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.567 * [taylor]: Taking taylor expansion of PI in k
3.567 * [backup-simplify]: Simplify PI into PI
3.567 * [taylor]: Taking taylor expansion of n in k
3.567 * [backup-simplify]: Simplify n into n
3.567 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.567 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
3.567 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
3.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.568 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.569 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.569 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
3.569 * [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))))
3.569 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
3.569 * [taylor]: Taking taylor expansion of (sqrt k) in n
3.569 * [taylor]: Taking taylor expansion of k in n
3.569 * [backup-simplify]: Simplify k into k
3.569 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
3.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
3.569 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.569 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.570 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.570 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.570 * [taylor]: Taking taylor expansion of 1/2 in n
3.570 * [backup-simplify]: Simplify 1/2 into 1/2
3.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.570 * [taylor]: Taking taylor expansion of 1/2 in n
3.570 * [backup-simplify]: Simplify 1/2 into 1/2
3.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.570 * [taylor]: Taking taylor expansion of k in n
3.570 * [backup-simplify]: Simplify k into k
3.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.570 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.570 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.570 * [taylor]: Taking taylor expansion of 2 in n
3.570 * [backup-simplify]: Simplify 2 into 2
3.570 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.570 * [taylor]: Taking taylor expansion of PI in n
3.570 * [backup-simplify]: Simplify PI into PI
3.570 * [taylor]: Taking taylor expansion of n in n
3.570 * [backup-simplify]: Simplify 0 into 0
3.570 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (/ PI 1) into PI
3.571 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.572 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.572 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.572 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.572 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.575 * [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)))
3.576 * [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))))
3.576 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
3.576 * [taylor]: Taking taylor expansion of (sqrt k) in n
3.576 * [taylor]: Taking taylor expansion of k in n
3.576 * [backup-simplify]: Simplify k into k
3.576 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
3.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
3.576 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.576 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.577 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.577 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.577 * [taylor]: Taking taylor expansion of 1/2 in n
3.577 * [backup-simplify]: Simplify 1/2 into 1/2
3.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.577 * [taylor]: Taking taylor expansion of 1/2 in n
3.577 * [backup-simplify]: Simplify 1/2 into 1/2
3.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.577 * [taylor]: Taking taylor expansion of k in n
3.577 * [backup-simplify]: Simplify k into k
3.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.577 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.577 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.577 * [taylor]: Taking taylor expansion of 2 in n
3.577 * [backup-simplify]: Simplify 2 into 2
3.577 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.577 * [taylor]: Taking taylor expansion of PI in n
3.577 * [backup-simplify]: Simplify PI into PI
3.577 * [taylor]: Taking taylor expansion of n in n
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (/ PI 1) into PI
3.578 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.579 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.579 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.579 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.579 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.582 * [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)))
3.583 * [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))))
3.584 * [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))
3.584 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
3.584 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
3.584 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
3.585 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.585 * [taylor]: Taking taylor expansion of 1/2 in k
3.585 * [backup-simplify]: Simplify 1/2 into 1/2
3.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.585 * [taylor]: Taking taylor expansion of 1/2 in k
3.585 * [backup-simplify]: Simplify 1/2 into 1/2
3.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.585 * [taylor]: Taking taylor expansion of k in k
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [backup-simplify]: Simplify (/ 1 1) into 1
3.585 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
3.585 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.585 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.585 * [taylor]: Taking taylor expansion of 2 in k
3.585 * [backup-simplify]: Simplify 2 into 2
3.585 * [taylor]: Taking taylor expansion of PI in k
3.585 * [backup-simplify]: Simplify PI into PI
3.586 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.587 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.587 * [taylor]: Taking taylor expansion of (log n) in k
3.587 * [taylor]: Taking taylor expansion of n in k
3.587 * [backup-simplify]: Simplify n into n
3.587 * [backup-simplify]: Simplify (log n) into (log n)
3.587 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.588 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.588 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.588 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.589 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
3.590 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
3.592 * [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))))
3.592 * [taylor]: Taking taylor expansion of (sqrt k) in k
3.592 * [taylor]: Taking taylor expansion of k in k
3.592 * [backup-simplify]: Simplify 0 into 0
3.592 * [backup-simplify]: Simplify 1 into 1
3.592 * [backup-simplify]: Simplify (sqrt 0) into 0
3.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.595 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
3.595 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.600 * [backup-simplify]: Simplify (- 0) into 0
3.600 * [backup-simplify]: Simplify (+ 0 0) into 0
3.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.603 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
3.605 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.610 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
3.610 * [taylor]: Taking taylor expansion of 0 in k
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.612 * [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))))))
3.613 * [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))))))
3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.619 * [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
3.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.621 * [backup-simplify]: Simplify (- 0) into 0
3.621 * [backup-simplify]: Simplify (+ 0 0) into 0
3.623 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.624 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
3.627 * [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
3.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
3.629 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
3.629 * [taylor]: Taking taylor expansion of 0 in k
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 0 into 0
3.632 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.633 * [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))))))
3.634 * [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))))))
3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.639 * [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
3.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.640 * [backup-simplify]: Simplify (- 0) into 0
3.640 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.642 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
3.644 * [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
3.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
3.646 * [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
3.646 * [taylor]: Taking taylor expansion of 0 in k
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.649 * [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))))))
3.650 * [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))))))
3.653 * [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))))))))
3.653 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
3.653 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
3.653 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
3.653 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
3.653 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
3.653 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
3.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.653 * [taylor]: Taking taylor expansion of 1/2 in k
3.653 * [backup-simplify]: Simplify 1/2 into 1/2
3.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.653 * [taylor]: Taking taylor expansion of k in k
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify 1 into 1
3.654 * [backup-simplify]: Simplify (/ 1 1) into 1
3.654 * [taylor]: Taking taylor expansion of 1/2 in k
3.654 * [backup-simplify]: Simplify 1/2 into 1/2
3.654 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
3.654 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
3.654 * [taylor]: Taking taylor expansion of -2 in k
3.654 * [backup-simplify]: Simplify -2 into -2
3.654 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.654 * [taylor]: Taking taylor expansion of PI in k
3.654 * [backup-simplify]: Simplify PI into PI
3.654 * [taylor]: Taking taylor expansion of n in k
3.654 * [backup-simplify]: Simplify n into n
3.654 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.654 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
3.654 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
3.654 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.654 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.654 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
3.655 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
3.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.655 * [taylor]: Taking taylor expansion of -1 in k
3.655 * [backup-simplify]: Simplify -1 into -1
3.655 * [taylor]: Taking taylor expansion of k in k
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.655 * [backup-simplify]: Simplify (/ -1 1) into -1
3.655 * [backup-simplify]: Simplify (sqrt 0) into 0
3.656 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.656 * [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))))
3.656 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
3.656 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.656 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.656 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.656 * [taylor]: Taking taylor expansion of 1/2 in n
3.656 * [backup-simplify]: Simplify 1/2 into 1/2
3.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.656 * [taylor]: Taking taylor expansion of k in n
3.656 * [backup-simplify]: Simplify k into k
3.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.656 * [taylor]: Taking taylor expansion of 1/2 in n
3.656 * [backup-simplify]: Simplify 1/2 into 1/2
3.656 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.656 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.656 * [taylor]: Taking taylor expansion of -2 in n
3.656 * [backup-simplify]: Simplify -2 into -2
3.656 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.657 * [taylor]: Taking taylor expansion of PI in n
3.657 * [backup-simplify]: Simplify PI into PI
3.657 * [taylor]: Taking taylor expansion of n in n
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 1 into 1
3.657 * [backup-simplify]: Simplify (/ PI 1) into PI
3.657 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.658 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.658 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.658 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.659 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.659 * [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)))
3.660 * [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))))
3.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.660 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.660 * [taylor]: Taking taylor expansion of -1 in n
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of k in n
3.660 * [backup-simplify]: Simplify k into k
3.660 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.660 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.660 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.661 * [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)))
3.661 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
3.661 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.661 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.661 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.661 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.661 * [taylor]: Taking taylor expansion of 1/2 in n
3.661 * [backup-simplify]: Simplify 1/2 into 1/2
3.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.661 * [taylor]: Taking taylor expansion of k in n
3.661 * [backup-simplify]: Simplify k into k
3.662 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.662 * [taylor]: Taking taylor expansion of 1/2 in n
3.662 * [backup-simplify]: Simplify 1/2 into 1/2
3.662 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.662 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.662 * [taylor]: Taking taylor expansion of -2 in n
3.662 * [backup-simplify]: Simplify -2 into -2
3.662 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.662 * [taylor]: Taking taylor expansion of PI in n
3.662 * [backup-simplify]: Simplify PI into PI
3.662 * [taylor]: Taking taylor expansion of n in n
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 1 into 1
3.662 * [backup-simplify]: Simplify (/ PI 1) into PI
3.662 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.663 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.663 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.663 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.666 * [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)))
3.667 * [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))))
3.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
3.667 * [taylor]: Taking taylor expansion of (/ -1 k) in n
3.667 * [taylor]: Taking taylor expansion of -1 in n
3.667 * [backup-simplify]: Simplify -1 into -1
3.667 * [taylor]: Taking taylor expansion of k in n
3.667 * [backup-simplify]: Simplify k into k
3.667 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
3.667 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
3.667 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
3.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
3.669 * [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)))
3.669 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
3.669 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.669 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.669 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.669 * [taylor]: Taking taylor expansion of 1/2 in k
3.669 * [backup-simplify]: Simplify 1/2 into 1/2
3.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.669 * [taylor]: Taking taylor expansion of k in k
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [backup-simplify]: Simplify (/ 1 1) into 1
3.669 * [taylor]: Taking taylor expansion of 1/2 in k
3.669 * [backup-simplify]: Simplify 1/2 into 1/2
3.669 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.669 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.669 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.670 * [taylor]: Taking taylor expansion of -2 in k
3.670 * [backup-simplify]: Simplify -2 into -2
3.670 * [taylor]: Taking taylor expansion of PI in k
3.670 * [backup-simplify]: Simplify PI into PI
3.670 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.671 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.671 * [taylor]: Taking taylor expansion of (log n) in k
3.671 * [taylor]: Taking taylor expansion of n in k
3.671 * [backup-simplify]: Simplify n into n
3.671 * [backup-simplify]: Simplify (log n) into (log n)
3.672 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.672 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.672 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.673 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.674 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.676 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
3.676 * [taylor]: Taking taylor expansion of (/ -1 k) in k
3.676 * [taylor]: Taking taylor expansion of -1 in k
3.676 * [backup-simplify]: Simplify -1 into -1
3.676 * [taylor]: Taking taylor expansion of k in k
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [backup-simplify]: Simplify (/ -1 1) into -1
3.677 * [backup-simplify]: Simplify (sqrt 0) into 0
3.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
3.679 * [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)))))
3.681 * [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)))))
3.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.682 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.685 * [backup-simplify]: Simplify (+ 0 0) into 0
3.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.688 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.690 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.691 * [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
3.691 * [taylor]: Taking taylor expansion of 0 in k
3.691 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.695 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.698 * [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))))))
3.699 * [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))))))
3.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.701 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.705 * [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
3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.707 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.710 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.712 * [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
3.712 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
3.715 * [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
3.715 * [taylor]: Taking taylor expansion of 0 in k
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 0 into 0
3.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
3.725 * [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))))))
3.726 * [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))))))
3.733 * [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)))))))))))
3.733 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
3.734 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
3.734 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
3.734 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.734 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.734 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.734 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.734 * [taylor]: Taking taylor expansion of 1/2 in k
3.734 * [backup-simplify]: Simplify 1/2 into 1/2
3.734 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.734 * [taylor]: Taking taylor expansion of 1/2 in k
3.734 * [backup-simplify]: Simplify 1/2 into 1/2
3.734 * [taylor]: Taking taylor expansion of k in k
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify 1 into 1
3.734 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.734 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.734 * [taylor]: Taking taylor expansion of 2 in k
3.734 * [backup-simplify]: Simplify 2 into 2
3.734 * [taylor]: Taking taylor expansion of (* n PI) in k
3.734 * [taylor]: Taking taylor expansion of n in k
3.734 * [backup-simplify]: Simplify n into n
3.734 * [taylor]: Taking taylor expansion of PI in k
3.734 * [backup-simplify]: Simplify PI into PI
3.734 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.734 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.734 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.735 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.736 * [backup-simplify]: Simplify (- 0) into 0
3.736 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.736 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.736 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.736 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.736 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.736 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.736 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.736 * [taylor]: Taking taylor expansion of 1/2 in n
3.736 * [backup-simplify]: Simplify 1/2 into 1/2
3.736 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.736 * [taylor]: Taking taylor expansion of 1/2 in n
3.737 * [backup-simplify]: Simplify 1/2 into 1/2
3.737 * [taylor]: Taking taylor expansion of k in n
3.737 * [backup-simplify]: Simplify k into k
3.737 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.737 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.737 * [taylor]: Taking taylor expansion of 2 in n
3.737 * [backup-simplify]: Simplify 2 into 2
3.737 * [taylor]: Taking taylor expansion of (* n PI) in n
3.737 * [taylor]: Taking taylor expansion of n in n
3.737 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.737 * [taylor]: Taking taylor expansion of PI in n
3.737 * [backup-simplify]: Simplify PI into PI
3.737 * [backup-simplify]: Simplify (* 0 PI) into 0
3.738 * [backup-simplify]: Simplify (* 2 0) into 0
3.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.741 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.742 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.742 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.742 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.742 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.744 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.745 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.746 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.746 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.746 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.746 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.747 * [taylor]: Taking taylor expansion of 1/2 in n
3.747 * [backup-simplify]: Simplify 1/2 into 1/2
3.747 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.747 * [taylor]: Taking taylor expansion of 1/2 in n
3.747 * [backup-simplify]: Simplify 1/2 into 1/2
3.747 * [taylor]: Taking taylor expansion of k in n
3.747 * [backup-simplify]: Simplify k into k
3.747 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.747 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.747 * [taylor]: Taking taylor expansion of 2 in n
3.747 * [backup-simplify]: Simplify 2 into 2
3.747 * [taylor]: Taking taylor expansion of (* n PI) in n
3.747 * [taylor]: Taking taylor expansion of n in n
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify 1 into 1
3.747 * [taylor]: Taking taylor expansion of PI in n
3.747 * [backup-simplify]: Simplify PI into PI
3.747 * [backup-simplify]: Simplify (* 0 PI) into 0
3.748 * [backup-simplify]: Simplify (* 2 0) into 0
3.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.751 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.752 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.752 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.752 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.752 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.755 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.756 * [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)))))
3.756 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.757 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.757 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.757 * [taylor]: Taking taylor expansion of 1/2 in k
3.757 * [backup-simplify]: Simplify 1/2 into 1/2
3.757 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.757 * [taylor]: Taking taylor expansion of 1/2 in k
3.757 * [backup-simplify]: Simplify 1/2 into 1/2
3.757 * [taylor]: Taking taylor expansion of k in k
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 1 into 1
3.757 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.757 * [taylor]: Taking taylor expansion of (log n) in k
3.757 * [taylor]: Taking taylor expansion of n in k
3.757 * [backup-simplify]: Simplify n into n
3.757 * [backup-simplify]: Simplify (log n) into (log n)
3.757 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.757 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.757 * [taylor]: Taking taylor expansion of 2 in k
3.757 * [backup-simplify]: Simplify 2 into 2
3.757 * [taylor]: Taking taylor expansion of PI in k
3.757 * [backup-simplify]: Simplify PI into PI
3.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.759 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.759 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.759 * [backup-simplify]: Simplify (- 0) into 0
3.760 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.761 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.762 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.764 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.765 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.770 * [backup-simplify]: Simplify (- 0) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.773 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.775 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.775 * [taylor]: Taking taylor expansion of 0 in k
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.780 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.780 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.785 * [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)))))))
3.789 * [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)))))))
3.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.793 * [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
3.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.794 * [backup-simplify]: Simplify (- 0) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.796 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.798 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.798 * [taylor]: Taking taylor expansion of 0 in k
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
3.802 * [backup-simplify]: Simplify (+ 0 0) into 0
3.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.802 * [backup-simplify]: Simplify (- 0) into 0
3.803 * [backup-simplify]: Simplify (+ 0 0) into 0
3.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.806 * [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)))))
3.809 * [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)))))
3.815 * [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)))))
3.815 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
3.815 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
3.815 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
3.815 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
3.815 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
3.815 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.815 * [taylor]: Taking taylor expansion of 1/2 in k
3.816 * [backup-simplify]: Simplify 1/2 into 1/2
3.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.816 * [taylor]: Taking taylor expansion of 1/2 in k
3.816 * [backup-simplify]: Simplify 1/2 into 1/2
3.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.816 * [taylor]: Taking taylor expansion of k in k
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (/ 1 1) into 1
3.816 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
3.816 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
3.816 * [taylor]: Taking taylor expansion of 2 in k
3.816 * [backup-simplify]: Simplify 2 into 2
3.816 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.816 * [taylor]: Taking taylor expansion of PI in k
3.816 * [backup-simplify]: Simplify PI into PI
3.816 * [taylor]: Taking taylor expansion of n in k
3.816 * [backup-simplify]: Simplify n into n
3.816 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.816 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
3.816 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
3.816 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.817 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.817 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.817 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
3.817 * [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))))
3.817 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.817 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.817 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.817 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.817 * [taylor]: Taking taylor expansion of 1/2 in n
3.817 * [backup-simplify]: Simplify 1/2 into 1/2
3.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.817 * [taylor]: Taking taylor expansion of 1/2 in n
3.817 * [backup-simplify]: Simplify 1/2 into 1/2
3.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.817 * [taylor]: Taking taylor expansion of k in n
3.817 * [backup-simplify]: Simplify k into k
3.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.817 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.817 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.817 * [taylor]: Taking taylor expansion of 2 in n
3.817 * [backup-simplify]: Simplify 2 into 2
3.817 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.817 * [taylor]: Taking taylor expansion of PI in n
3.817 * [backup-simplify]: Simplify PI into PI
3.817 * [taylor]: Taking taylor expansion of n in n
3.817 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 1 into 1
3.818 * [backup-simplify]: Simplify (/ PI 1) into PI
3.818 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.819 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.819 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.819 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.819 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.821 * [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)))
3.821 * [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))))
3.821 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.821 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.821 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.821 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.821 * [taylor]: Taking taylor expansion of 1/2 in n
3.821 * [backup-simplify]: Simplify 1/2 into 1/2
3.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.821 * [taylor]: Taking taylor expansion of 1/2 in n
3.821 * [backup-simplify]: Simplify 1/2 into 1/2
3.822 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.822 * [taylor]: Taking taylor expansion of k in n
3.822 * [backup-simplify]: Simplify k into k
3.822 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.822 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.822 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.822 * [taylor]: Taking taylor expansion of 2 in n
3.822 * [backup-simplify]: Simplify 2 into 2
3.822 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.822 * [taylor]: Taking taylor expansion of PI in n
3.822 * [backup-simplify]: Simplify PI into PI
3.822 * [taylor]: Taking taylor expansion of n in n
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (/ PI 1) into PI
3.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.823 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.823 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.826 * [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)))
3.827 * [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))))
3.827 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
3.827 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
3.827 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.827 * [taylor]: Taking taylor expansion of 1/2 in k
3.827 * [backup-simplify]: Simplify 1/2 into 1/2
3.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.827 * [taylor]: Taking taylor expansion of 1/2 in k
3.827 * [backup-simplify]: Simplify 1/2 into 1/2
3.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.827 * [taylor]: Taking taylor expansion of k in k
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.828 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
3.828 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.828 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.828 * [taylor]: Taking taylor expansion of 2 in k
3.828 * [backup-simplify]: Simplify 2 into 2
3.828 * [taylor]: Taking taylor expansion of PI in k
3.828 * [backup-simplify]: Simplify PI into PI
3.829 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.830 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.830 * [taylor]: Taking taylor expansion of (log n) in k
3.830 * [taylor]: Taking taylor expansion of n in k
3.830 * [backup-simplify]: Simplify n into n
3.830 * [backup-simplify]: Simplify (log n) into (log n)
3.831 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.831 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.831 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.831 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.833 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
3.834 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
3.835 * [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))))
3.836 * [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))))
3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.841 * [backup-simplify]: Simplify (- 0) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.844 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
3.846 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.846 * [taylor]: Taking taylor expansion of 0 in k
3.846 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.850 * [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
3.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.851 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.855 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
3.857 * [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
3.857 * [taylor]: Taking taylor expansion of 0 in k
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.862 * [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
3.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.863 * [backup-simplify]: Simplify (- 0) into 0
3.863 * [backup-simplify]: Simplify (+ 0 0) into 0
3.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.866 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
3.867 * [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
3.867 * [taylor]: Taking taylor expansion of 0 in k
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.868 * [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)))))
3.869 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
3.869 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
3.869 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
3.869 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
3.869 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
3.869 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.869 * [taylor]: Taking taylor expansion of 1/2 in k
3.869 * [backup-simplify]: Simplify 1/2 into 1/2
3.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.869 * [taylor]: Taking taylor expansion of k in k
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.869 * [backup-simplify]: Simplify (/ 1 1) into 1
3.869 * [taylor]: Taking taylor expansion of 1/2 in k
3.869 * [backup-simplify]: Simplify 1/2 into 1/2
3.869 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
3.869 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
3.869 * [taylor]: Taking taylor expansion of -2 in k
3.869 * [backup-simplify]: Simplify -2 into -2
3.869 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.869 * [taylor]: Taking taylor expansion of PI in k
3.869 * [backup-simplify]: Simplify PI into PI
3.869 * [taylor]: Taking taylor expansion of n in k
3.869 * [backup-simplify]: Simplify n into n
3.869 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.869 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
3.870 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
3.870 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.870 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.870 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
3.870 * [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)))
3.870 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.870 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.870 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.870 * [taylor]: Taking taylor expansion of 1/2 in n
3.870 * [backup-simplify]: Simplify 1/2 into 1/2
3.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.870 * [taylor]: Taking taylor expansion of k in n
3.870 * [backup-simplify]: Simplify k into k
3.870 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.870 * [taylor]: Taking taylor expansion of 1/2 in n
3.870 * [backup-simplify]: Simplify 1/2 into 1/2
3.871 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.871 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.871 * [taylor]: Taking taylor expansion of -2 in n
3.871 * [backup-simplify]: Simplify -2 into -2
3.871 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.871 * [taylor]: Taking taylor expansion of PI in n
3.871 * [backup-simplify]: Simplify PI into PI
3.871 * [taylor]: Taking taylor expansion of n in n
3.871 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify 1 into 1
3.871 * [backup-simplify]: Simplify (/ PI 1) into PI
3.871 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.872 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.872 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.872 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.874 * [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)))
3.875 * [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))))
3.875 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.875 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.875 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.875 * [taylor]: Taking taylor expansion of 1/2 in n
3.875 * [backup-simplify]: Simplify 1/2 into 1/2
3.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.875 * [taylor]: Taking taylor expansion of k in n
3.875 * [backup-simplify]: Simplify k into k
3.875 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.875 * [taylor]: Taking taylor expansion of 1/2 in n
3.875 * [backup-simplify]: Simplify 1/2 into 1/2
3.875 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.875 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.875 * [taylor]: Taking taylor expansion of -2 in n
3.875 * [backup-simplify]: Simplify -2 into -2
3.875 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.875 * [taylor]: Taking taylor expansion of PI in n
3.875 * [backup-simplify]: Simplify PI into PI
3.875 * [taylor]: Taking taylor expansion of n in n
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify (/ PI 1) into PI
3.876 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.877 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.877 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.877 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.880 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
3.881 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.881 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.881 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.881 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.881 * [taylor]: Taking taylor expansion of 1/2 in k
3.881 * [backup-simplify]: Simplify 1/2 into 1/2
3.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.882 * [taylor]: Taking taylor expansion of k in k
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 1 into 1
3.882 * [backup-simplify]: Simplify (/ 1 1) into 1
3.882 * [taylor]: Taking taylor expansion of 1/2 in k
3.882 * [backup-simplify]: Simplify 1/2 into 1/2
3.882 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.882 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.882 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.882 * [taylor]: Taking taylor expansion of -2 in k
3.882 * [backup-simplify]: Simplify -2 into -2
3.882 * [taylor]: Taking taylor expansion of PI in k
3.882 * [backup-simplify]: Simplify PI into PI
3.883 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.884 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.884 * [taylor]: Taking taylor expansion of (log n) in k
3.884 * [taylor]: Taking taylor expansion of n in k
3.884 * [backup-simplify]: Simplify n into n
3.884 * [backup-simplify]: Simplify (log n) into (log n)
3.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.885 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.885 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.886 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.887 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.889 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.890 * [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))))
3.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.895 * [backup-simplify]: Simplify (+ 0 0) into 0
3.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.898 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.900 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.900 * [taylor]: Taking taylor expansion of 0 in k
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.906 * [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
3.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.910 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.913 * [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
3.913 * [taylor]: Taking taylor expansion of 0 in k
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.922 * [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
3.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.925 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.928 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
3.931 * [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
3.931 * [taylor]: Taking taylor expansion of 0 in k
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 0 into 0
3.932 * [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)))))
3.932 * * * [progress]: simplifying candidates
3.932 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.933 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.934 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.934 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
3.934 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
3.934 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
3.934 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.934 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.934 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.934 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
3.934 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
3.934 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.934 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.934 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
3.934 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.934 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.934 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.934 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
3.935 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
3.935 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
3.935 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.935 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.935 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.935 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.935 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
3.935 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
3.935 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.935 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.935 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
3.935 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
3.935 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.935 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.935 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
3.936 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
3.936 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.936 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.936 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.936 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.936 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
3.936 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
3.936 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.936 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
3.936 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
3.937 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
3.937 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
3.937 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.937 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.937 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
3.937 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.937 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
3.937 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
3.937 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.937 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.937 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
3.937 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
3.937 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
3.937 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
3.937 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
3.937 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
3.938 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
3.938 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.938 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
3.938 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
3.938 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.938 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
3.938 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
3.938 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
3.938 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
3.938 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
3.938 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
3.938 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
3.938 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
3.938 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
3.938 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.938 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
3.939 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.939 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
3.939 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
3.939 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
3.940 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
3.940 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
3.940 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
3.940 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.940 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.940 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
3.940 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
3.940 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
3.940 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
3.940 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
3.940 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
3.940 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
3.942 * [simplify]: Simplifying:
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* 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)))))))))))
  (- (+ (* 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)))))
3.944 * * [simplify]: iteration 0: 271 enodes
4.030 * * [simplify]: iteration 1: 660 enodes
4.266 * * [simplify]: iteration 2: 2234 enodes
5.147 * * [simplify]: iteration complete: 5004 enodes
5.148 * * [simplify]: Extracting #0: cost 96 inf + 0
5.149 * * [simplify]: Extracting #1: cost 507 inf + 1
5.152 * * [simplify]: Extracting #2: cost 1155 inf + 1447
5.166 * * [simplify]: Extracting #3: cost 1580 inf + 18766
5.187 * * [simplify]: Extracting #4: cost 1408 inf + 86575
5.259 * * [simplify]: Extracting #5: cost 664 inf + 383619
5.434 * * [simplify]: Extracting #6: cost 163 inf + 665873
5.660 * * [simplify]: Extracting #7: cost 43 inf + 718043
5.887 * * [simplify]: Extracting #8: cost 3 inf + 735507
6.103 * * [simplify]: Extracting #9: cost 0 inf + 732159
6.323 * * [simplify]: Extracting #10: cost 0 inf + 729419
6.477 * * [simplify]: Extracting #11: cost 0 inf + 729199
6.661 * [simplify]: Simplified to:
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (exp (+ (* PI n) (* PI n)))
  (* (* (* (* (* n 2) PI) (* n 2)) (* (* n 2) PI)) PI)
  (* (* (* (* (* n 2) PI) (* n 2)) (* (* n 2) PI)) PI)
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* (* n 2) PI) (* n 2)) (* (* n 2) PI)) PI)
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* n (* (* (cbrt PI) (cbrt PI)) 2))
  (* (* (sqrt PI) n) 2)
  (* n 2)
  (* PI 2)
  (real->posit16 (* (* n 2) PI))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
  (exp (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
  (* (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) k) (* (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))))
  (* (cbrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))) (cbrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))))
  (cbrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
  (* (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)) (* (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))))
  (sqrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
  (sqrt (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
  (- (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* n 2) PI)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* n 2) PI)) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (sqrt k)))
  (sqrt (* (* n 2) PI))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))
  (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (sqrt k)))
  (sqrt (* (* n 2) PI))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))
  (/ (/ (sqrt (* (* n 2) PI)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* n 2) PI)) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (sqrt k)))
  (sqrt (* (* n 2) PI))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))
  (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt (sqrt k)))
  (sqrt (* (* n 2) PI))
  (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (sqrt k))) (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (sqrt k))))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (sqrt k)))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (/ (fabs (cbrt k)) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (cbrt k)))
  (/ (* (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt k))
  (/ (* (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (/ (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt k))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (fabs (cbrt k)))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (cbrt k)))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt k))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt (sqrt k)))
  (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (/ (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (/ (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
  (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
  (/ (sqrt k) (pow (* (* n 2) PI) (* k -1/2)))
  (/ (sqrt k) (pow (* (* n 2) PI) (* k -1/2)))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (/ (sqrt k) (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* (* n 2) PI)
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (* k -1/2))
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (* k -1/2))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (exp (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (* (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))) (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (cbrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (* (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (* (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))
  (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (sqrt (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (real->posit16 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (- (* (* (* (log (* PI 2)) (sqrt (* (* n 2) PI))) (* (log n) (* k k))) +nan.0)) (* (* (* +nan.0 (* k k)) (sqrt (* (* n 2) PI))) (- (log (* PI 2)) (* (log n) (log n))))) (+ (- (* (* +nan.0 k) (sqrt (* (* n 2) PI))) (* (sqrt (* (* n 2) PI)) +nan.0)) (+ (* (* (* +nan.0 (* k k)) (sqrt (* (* n 2) PI))) (- (* (log (* PI 2)) (log (* PI 2))) (log n))) (- (* (* +nan.0 (* k k)) (sqrt (* (* n 2) PI))) (* +nan.0 (* (* k (sqrt (* (* n 2) PI))) (- (log (* PI 2)) (log n))))))))
  (- (- (* (/ +nan.0 k) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (* k k))) (* +nan.0 (- (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) k) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (* k k))))))
  (+ (/ (- (* +nan.0 (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (/ k 2)))))) k) (* +nan.0 (- (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (/ k 2)))) (* k k)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (/ k 2)))))))
  (+ (+ (sqrt (* (* n 2) PI)) (* (* (* k k) 1/8) (+ (* (sqrt (* (* n 2) PI)) (* (log (* PI 2)) (log (* PI 2)))) (* (* (log n) (log n)) (sqrt (* (* n 2) PI)))))) (- (* (* (log (* PI 2)) (sqrt (* (* n 2) PI))) (* (* (log n) (* k k)) 1/4)) (/ (* (* k (sqrt (* (* n 2) PI))) (log (* (* n 2) PI))) 2)))
  (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
  (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (/ k 2))))
6.678 * * * [progress]: adding candidates to table
7.249 * * [progress]: iteration 2 / 4
7.250 * * * [progress]: picking best candidate
7.296 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
7.296 * * * [progress]: localizing error
7.360 * * * [progress]: generating rewritten candidates
7.360 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
7.389 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1)
7.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.488 * * * [progress]: generating series expansions
7.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
7.488 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
7.489 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
7.489 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.489 * [taylor]: Taking taylor expansion of 2 in n
7.489 * [backup-simplify]: Simplify 2 into 2
7.489 * [taylor]: Taking taylor expansion of (* n PI) in n
7.489 * [taylor]: Taking taylor expansion of n in n
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [taylor]: Taking taylor expansion of PI in n
7.489 * [backup-simplify]: Simplify PI into PI
7.489 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.489 * [taylor]: Taking taylor expansion of 2 in n
7.489 * [backup-simplify]: Simplify 2 into 2
7.489 * [taylor]: Taking taylor expansion of (* n PI) in n
7.489 * [taylor]: Taking taylor expansion of n in n
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [taylor]: Taking taylor expansion of PI in n
7.489 * [backup-simplify]: Simplify PI into PI
7.489 * [backup-simplify]: Simplify (* 0 PI) into 0
7.490 * [backup-simplify]: Simplify (* 2 0) into 0
7.490 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.492 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.492 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.493 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.495 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.496 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.496 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.498 * [backup-simplify]: Simplify 0 into 0
7.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.500 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.503 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
7.503 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
7.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.503 * [taylor]: Taking taylor expansion of 2 in n
7.503 * [backup-simplify]: Simplify 2 into 2
7.503 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.503 * [taylor]: Taking taylor expansion of PI in n
7.503 * [backup-simplify]: Simplify PI into PI
7.503 * [taylor]: Taking taylor expansion of n in n
7.503 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify 1 into 1
7.503 * [backup-simplify]: Simplify (/ PI 1) into PI
7.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.503 * [taylor]: Taking taylor expansion of 2 in n
7.503 * [backup-simplify]: Simplify 2 into 2
7.503 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.503 * [taylor]: Taking taylor expansion of PI in n
7.503 * [backup-simplify]: Simplify PI into PI
7.503 * [taylor]: Taking taylor expansion of n in n
7.503 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify 1 into 1
7.503 * [backup-simplify]: Simplify (/ PI 1) into PI
7.504 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.504 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.506 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.508 * [backup-simplify]: Simplify 0 into 0
7.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.511 * [backup-simplify]: Simplify 0 into 0
7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.514 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.517 * [backup-simplify]: Simplify 0 into 0
7.518 * [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
7.520 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.520 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
7.521 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
7.521 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
7.521 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.521 * [taylor]: Taking taylor expansion of -2 in n
7.521 * [backup-simplify]: Simplify -2 into -2
7.521 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.521 * [taylor]: Taking taylor expansion of PI in n
7.521 * [backup-simplify]: Simplify PI into PI
7.521 * [taylor]: Taking taylor expansion of n in n
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.522 * [backup-simplify]: Simplify (/ PI 1) into PI
7.522 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.522 * [taylor]: Taking taylor expansion of -2 in n
7.522 * [backup-simplify]: Simplify -2 into -2
7.522 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.522 * [taylor]: Taking taylor expansion of PI in n
7.522 * [backup-simplify]: Simplify PI into PI
7.522 * [taylor]: Taking taylor expansion of n in n
7.522 * [backup-simplify]: Simplify 0 into 0
7.522 * [backup-simplify]: Simplify 1 into 1
7.522 * [backup-simplify]: Simplify (/ PI 1) into PI
7.523 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.523 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.525 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.525 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.528 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.528 * [backup-simplify]: Simplify 0 into 0
7.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.538 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.538 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.540 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.540 * [backup-simplify]: Simplify 0 into 0
7.541 * [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
7.542 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.542 * [backup-simplify]: Simplify 0 into 0
7.542 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
7.542 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1)
7.542 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
7.542 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
7.542 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.543 * [taylor]: Taking taylor expansion of 2 in n
7.543 * [backup-simplify]: Simplify 2 into 2
7.543 * [taylor]: Taking taylor expansion of (* n PI) in n
7.543 * [taylor]: Taking taylor expansion of n in n
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 1 into 1
7.543 * [taylor]: Taking taylor expansion of PI in n
7.543 * [backup-simplify]: Simplify PI into PI
7.543 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.543 * [taylor]: Taking taylor expansion of 2 in n
7.543 * [backup-simplify]: Simplify 2 into 2
7.543 * [taylor]: Taking taylor expansion of (* n PI) in n
7.543 * [taylor]: Taking taylor expansion of n in n
7.543 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify 1 into 1
7.543 * [taylor]: Taking taylor expansion of PI in n
7.543 * [backup-simplify]: Simplify PI into PI
7.543 * [backup-simplify]: Simplify (* 0 PI) into 0
7.543 * [backup-simplify]: Simplify (* 2 0) into 0
7.543 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.545 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.546 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.547 * [backup-simplify]: Simplify 0 into 0
7.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.548 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.550 * [backup-simplify]: Simplify 0 into 0
7.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.552 * [backup-simplify]: Simplify 0 into 0
7.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.554 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.556 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
7.556 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
7.556 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.556 * [taylor]: Taking taylor expansion of 2 in n
7.556 * [backup-simplify]: Simplify 2 into 2
7.556 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.556 * [taylor]: Taking taylor expansion of PI in n
7.556 * [backup-simplify]: Simplify PI into PI
7.556 * [taylor]: Taking taylor expansion of n in n
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify 1 into 1
7.557 * [backup-simplify]: Simplify (/ PI 1) into PI
7.557 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.557 * [taylor]: Taking taylor expansion of 2 in n
7.557 * [backup-simplify]: Simplify 2 into 2
7.557 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.557 * [taylor]: Taking taylor expansion of PI in n
7.557 * [backup-simplify]: Simplify PI into PI
7.557 * [taylor]: Taking taylor expansion of n in n
7.557 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify 1 into 1
7.557 * [backup-simplify]: Simplify (/ PI 1) into PI
7.558 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.558 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.559 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.559 * [backup-simplify]: Simplify 0 into 0
7.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.560 * [backup-simplify]: Simplify 0 into 0
7.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.562 * [backup-simplify]: Simplify 0 into 0
7.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [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
7.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.566 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
7.567 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
7.567 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
7.567 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.567 * [taylor]: Taking taylor expansion of -2 in n
7.567 * [backup-simplify]: Simplify -2 into -2
7.567 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.567 * [taylor]: Taking taylor expansion of PI in n
7.567 * [backup-simplify]: Simplify PI into PI
7.567 * [taylor]: Taking taylor expansion of n in n
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 1 into 1
7.567 * [backup-simplify]: Simplify (/ PI 1) into PI
7.567 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.567 * [taylor]: Taking taylor expansion of -2 in n
7.567 * [backup-simplify]: Simplify -2 into -2
7.567 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.567 * [taylor]: Taking taylor expansion of PI in n
7.567 * [backup-simplify]: Simplify PI into PI
7.567 * [taylor]: Taking taylor expansion of n in n
7.567 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 1 into 1
7.568 * [backup-simplify]: Simplify (/ PI 1) into PI
7.568 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.569 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.570 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.570 * [backup-simplify]: Simplify 0 into 0
7.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.571 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.572 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.572 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.576 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.576 * [backup-simplify]: Simplify 0 into 0
7.576 * [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
7.577 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.577 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
7.578 * * * * [progress]: [ 3 / 4 ] generating series at (2)
7.578 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
7.578 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
7.578 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
7.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.578 * [taylor]: Taking taylor expansion of k in k
7.578 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify 1 into 1
7.578 * [backup-simplify]: Simplify (/ 1 1) into 1
7.579 * [backup-simplify]: Simplify (sqrt 0) into 0
7.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.579 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.580 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.580 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.580 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.580 * [taylor]: Taking taylor expansion of 1/2 in k
7.580 * [backup-simplify]: Simplify 1/2 into 1/2
7.580 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.580 * [taylor]: Taking taylor expansion of 1/2 in k
7.580 * [backup-simplify]: Simplify 1/2 into 1/2
7.580 * [taylor]: Taking taylor expansion of k in k
7.580 * [backup-simplify]: Simplify 0 into 0
7.580 * [backup-simplify]: Simplify 1 into 1
7.580 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.580 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.580 * [taylor]: Taking taylor expansion of 2 in k
7.580 * [backup-simplify]: Simplify 2 into 2
7.580 * [taylor]: Taking taylor expansion of (* n PI) in k
7.580 * [taylor]: Taking taylor expansion of n in k
7.580 * [backup-simplify]: Simplify n into n
7.580 * [taylor]: Taking taylor expansion of PI in k
7.580 * [backup-simplify]: Simplify PI into PI
7.580 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.580 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.580 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.581 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.581 * [backup-simplify]: Simplify (- 0) into 0
7.581 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.581 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.582 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.582 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
7.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.582 * [taylor]: Taking taylor expansion of k in n
7.582 * [backup-simplify]: Simplify k into k
7.582 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.582 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.582 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.582 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.582 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.582 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.582 * [taylor]: Taking taylor expansion of 1/2 in n
7.582 * [backup-simplify]: Simplify 1/2 into 1/2
7.582 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.582 * [taylor]: Taking taylor expansion of 1/2 in n
7.582 * [backup-simplify]: Simplify 1/2 into 1/2
7.582 * [taylor]: Taking taylor expansion of k in n
7.582 * [backup-simplify]: Simplify k into k
7.582 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.582 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.582 * [taylor]: Taking taylor expansion of 2 in n
7.582 * [backup-simplify]: Simplify 2 into 2
7.583 * [taylor]: Taking taylor expansion of (* n PI) in n
7.583 * [taylor]: Taking taylor expansion of n in n
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 1 into 1
7.583 * [taylor]: Taking taylor expansion of PI in n
7.583 * [backup-simplify]: Simplify PI into PI
7.583 * [backup-simplify]: Simplify (* 0 PI) into 0
7.584 * [backup-simplify]: Simplify (* 2 0) into 0
7.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.587 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.588 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.588 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.588 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.588 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.591 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.592 * [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)))))
7.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
7.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.593 * [taylor]: Taking taylor expansion of k in n
7.593 * [backup-simplify]: Simplify k into k
7.593 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.593 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.593 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.593 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.593 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.593 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.593 * [taylor]: Taking taylor expansion of 1/2 in n
7.593 * [backup-simplify]: Simplify 1/2 into 1/2
7.593 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.593 * [taylor]: Taking taylor expansion of 1/2 in n
7.593 * [backup-simplify]: Simplify 1/2 into 1/2
7.593 * [taylor]: Taking taylor expansion of k in n
7.593 * [backup-simplify]: Simplify k into k
7.593 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.593 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.593 * [taylor]: Taking taylor expansion of 2 in n
7.593 * [backup-simplify]: Simplify 2 into 2
7.593 * [taylor]: Taking taylor expansion of (* n PI) in n
7.593 * [taylor]: Taking taylor expansion of n in n
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify 1 into 1
7.594 * [taylor]: Taking taylor expansion of PI in n
7.594 * [backup-simplify]: Simplify PI into PI
7.594 * [backup-simplify]: Simplify (* 0 PI) into 0
7.595 * [backup-simplify]: Simplify (* 2 0) into 0
7.597 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.598 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.599 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.599 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.599 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.600 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.602 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.603 * [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)))))
7.604 * [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)))
7.604 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
7.604 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
7.604 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
7.604 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.604 * [taylor]: Taking taylor expansion of 1/2 in k
7.605 * [backup-simplify]: Simplify 1/2 into 1/2
7.605 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.605 * [taylor]: Taking taylor expansion of 1/2 in k
7.605 * [backup-simplify]: Simplify 1/2 into 1/2
7.605 * [taylor]: Taking taylor expansion of k in k
7.605 * [backup-simplify]: Simplify 0 into 0
7.605 * [backup-simplify]: Simplify 1 into 1
7.605 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.605 * [taylor]: Taking taylor expansion of (log n) in k
7.605 * [taylor]: Taking taylor expansion of n in k
7.605 * [backup-simplify]: Simplify n into n
7.605 * [backup-simplify]: Simplify (log n) into (log n)
7.605 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.605 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.605 * [taylor]: Taking taylor expansion of 2 in k
7.605 * [backup-simplify]: Simplify 2 into 2
7.605 * [taylor]: Taking taylor expansion of PI in k
7.605 * [backup-simplify]: Simplify PI into PI
7.605 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.606 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.606 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.606 * [backup-simplify]: Simplify (- 0) into 0
7.607 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.607 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.608 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.609 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.609 * [taylor]: Taking taylor expansion of k in k
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [backup-simplify]: Simplify (sqrt 0) into 0
7.610 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.611 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
7.611 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.612 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.614 * [backup-simplify]: Simplify (- 0) into 0
7.614 * [backup-simplify]: Simplify (+ 0 0) into 0
7.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.616 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.617 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.618 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
7.618 * [taylor]: Taking taylor expansion of 0 in k
7.618 * [backup-simplify]: Simplify 0 into 0
7.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.620 * [backup-simplify]: Simplify (+ 0 0) into 0
7.621 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.621 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.621 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
7.624 * [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)))))))
7.627 * [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)))))))
7.628 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.631 * [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
7.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.632 * [backup-simplify]: Simplify (- 0) into 0
7.633 * [backup-simplify]: Simplify (+ 0 0) into 0
7.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.634 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.641 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
7.644 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
7.644 * [taylor]: Taking taylor expansion of 0 in k
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.650 * [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
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.651 * [backup-simplify]: Simplify (- 0) into 0
7.651 * [backup-simplify]: Simplify (+ 0 0) into 0
7.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.655 * [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)))))
7.661 * [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))))))))
7.664 * [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))))))))
7.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.668 * [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
7.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
7.670 * [backup-simplify]: Simplify (- 0) into 0
7.670 * [backup-simplify]: Simplify (+ 0 0) into 0
7.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.672 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
7.674 * [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
7.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
7.675 * [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
7.675 * [taylor]: Taking taylor expansion of 0 in k
7.675 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.683 * [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
7.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.689 * [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
7.690 * [backup-simplify]: Simplify (+ 0 0) into 0
7.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.692 * [backup-simplify]: Simplify (- 0) into 0
7.692 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
7.701 * [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)))))))
7.711 * [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))))))))))))))
7.719 * [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))))))))))))))
7.731 * [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))))))))))))))))))))))
7.731 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) 1) (/ (sqrt (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k)))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
7.731 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
7.731 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
7.731 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.731 * [taylor]: Taking taylor expansion of k in k
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [backup-simplify]: Simplify (sqrt 0) into 0
7.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.733 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.733 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.733 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.733 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.733 * [taylor]: Taking taylor expansion of 1/2 in k
7.733 * [backup-simplify]: Simplify 1/2 into 1/2
7.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.733 * [taylor]: Taking taylor expansion of 1/2 in k
7.733 * [backup-simplify]: Simplify 1/2 into 1/2
7.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.733 * [taylor]: Taking taylor expansion of k in k
7.733 * [backup-simplify]: Simplify 0 into 0
7.733 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (/ 1 1) into 1
7.733 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.733 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.734 * [taylor]: Taking taylor expansion of 2 in k
7.734 * [backup-simplify]: Simplify 2 into 2
7.734 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.734 * [taylor]: Taking taylor expansion of PI in k
7.734 * [backup-simplify]: Simplify PI into PI
7.734 * [taylor]: Taking taylor expansion of n in k
7.734 * [backup-simplify]: Simplify n into n
7.734 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.734 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.734 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.738 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.739 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.739 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.739 * [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))))
7.739 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.739 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.739 * [taylor]: Taking taylor expansion of k in n
7.739 * [backup-simplify]: Simplify k into k
7.739 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.739 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.739 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.740 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.740 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.740 * [taylor]: Taking taylor expansion of 1/2 in n
7.740 * [backup-simplify]: Simplify 1/2 into 1/2
7.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.740 * [taylor]: Taking taylor expansion of 1/2 in n
7.740 * [backup-simplify]: Simplify 1/2 into 1/2
7.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.740 * [taylor]: Taking taylor expansion of k in n
7.740 * [backup-simplify]: Simplify k into k
7.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.740 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.740 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.740 * [taylor]: Taking taylor expansion of 2 in n
7.740 * [backup-simplify]: Simplify 2 into 2
7.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.740 * [taylor]: Taking taylor expansion of PI in n
7.740 * [backup-simplify]: Simplify PI into PI
7.740 * [taylor]: Taking taylor expansion of n in n
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify 1 into 1
7.741 * [backup-simplify]: Simplify (/ PI 1) into PI
7.741 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.742 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.742 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.742 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.742 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.745 * [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)))
7.746 * [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))))
7.746 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.746 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.746 * [taylor]: Taking taylor expansion of k in n
7.746 * [backup-simplify]: Simplify k into k
7.746 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.746 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.746 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.747 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.747 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.747 * [taylor]: Taking taylor expansion of 1/2 in n
7.747 * [backup-simplify]: Simplify 1/2 into 1/2
7.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.747 * [taylor]: Taking taylor expansion of 1/2 in n
7.747 * [backup-simplify]: Simplify 1/2 into 1/2
7.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.747 * [taylor]: Taking taylor expansion of k in n
7.747 * [backup-simplify]: Simplify k into k
7.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.747 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.747 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.747 * [taylor]: Taking taylor expansion of 2 in n
7.747 * [backup-simplify]: Simplify 2 into 2
7.747 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.747 * [taylor]: Taking taylor expansion of PI in n
7.747 * [backup-simplify]: Simplify PI into PI
7.747 * [taylor]: Taking taylor expansion of n in n
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (/ PI 1) into PI
7.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.749 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.750 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.750 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.752 * [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)))
7.753 * [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))))
7.755 * [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))
7.755 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
7.755 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
7.755 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
7.755 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.755 * [taylor]: Taking taylor expansion of 1/2 in k
7.755 * [backup-simplify]: Simplify 1/2 into 1/2
7.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.755 * [taylor]: Taking taylor expansion of 1/2 in k
7.755 * [backup-simplify]: Simplify 1/2 into 1/2
7.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.755 * [taylor]: Taking taylor expansion of k in k
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [backup-simplify]: Simplify (/ 1 1) into 1
7.755 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
7.756 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.756 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.756 * [taylor]: Taking taylor expansion of 2 in k
7.756 * [backup-simplify]: Simplify 2 into 2
7.756 * [taylor]: Taking taylor expansion of PI in k
7.756 * [backup-simplify]: Simplify PI into PI
7.756 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.757 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.757 * [taylor]: Taking taylor expansion of (log n) in k
7.757 * [taylor]: Taking taylor expansion of n in k
7.757 * [backup-simplify]: Simplify n into n
7.757 * [backup-simplify]: Simplify (log n) into (log n)
7.758 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.758 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.758 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.759 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.760 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
7.761 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
7.762 * [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))))
7.762 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.762 * [taylor]: Taking taylor expansion of k in k
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (sqrt 0) into 0
7.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.765 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.770 * [backup-simplify]: Simplify (- 0) into 0
7.771 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.773 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.776 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.777 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
7.777 * [taylor]: Taking taylor expansion of 0 in k
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 0 into 0
7.779 * [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))))))
7.780 * [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))))))
7.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.786 * [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
7.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.787 * [backup-simplify]: Simplify (- 0) into 0
7.788 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.792 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
7.794 * [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
7.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
7.796 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
7.796 * [taylor]: Taking taylor expansion of 0 in k
7.796 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.801 * [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))))))
7.803 * [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))))))
7.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.811 * [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
7.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.813 * [backup-simplify]: Simplify (- 0) into 0
7.814 * [backup-simplify]: Simplify (+ 0 0) into 0
7.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.817 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
7.820 * [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
7.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
7.823 * [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
7.823 * [taylor]: Taking taylor expansion of 0 in k
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.830 * [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))))))
7.831 * [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))))))
7.836 * [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))))))))
7.836 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) 1) (/ (sqrt (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
7.836 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
7.836 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
7.836 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.836 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.836 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.836 * [taylor]: Taking taylor expansion of 1/2 in k
7.837 * [backup-simplify]: Simplify 1/2 into 1/2
7.837 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.837 * [taylor]: Taking taylor expansion of k in k
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [backup-simplify]: Simplify (/ 1 1) into 1
7.837 * [taylor]: Taking taylor expansion of 1/2 in k
7.837 * [backup-simplify]: Simplify 1/2 into 1/2
7.837 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.837 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.837 * [taylor]: Taking taylor expansion of -2 in k
7.837 * [backup-simplify]: Simplify -2 into -2
7.837 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.837 * [taylor]: Taking taylor expansion of PI in k
7.837 * [backup-simplify]: Simplify PI into PI
7.837 * [taylor]: Taking taylor expansion of n in k
7.837 * [backup-simplify]: Simplify n into n
7.837 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.837 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.838 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.838 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.839 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.839 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.839 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.839 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.839 * [taylor]: Taking taylor expansion of -1 in k
7.839 * [backup-simplify]: Simplify -1 into -1
7.839 * [taylor]: Taking taylor expansion of k in k
7.839 * [backup-simplify]: Simplify 0 into 0
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (/ -1 1) into -1
7.840 * [backup-simplify]: Simplify (sqrt 0) into 0
7.841 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.841 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
7.841 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
7.841 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.841 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.841 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.841 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.842 * [taylor]: Taking taylor expansion of 1/2 in n
7.842 * [backup-simplify]: Simplify 1/2 into 1/2
7.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.842 * [taylor]: Taking taylor expansion of k in n
7.842 * [backup-simplify]: Simplify k into k
7.842 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.842 * [taylor]: Taking taylor expansion of 1/2 in n
7.842 * [backup-simplify]: Simplify 1/2 into 1/2
7.842 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.842 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.842 * [taylor]: Taking taylor expansion of -2 in n
7.842 * [backup-simplify]: Simplify -2 into -2
7.842 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.842 * [taylor]: Taking taylor expansion of PI in n
7.842 * [backup-simplify]: Simplify PI into PI
7.842 * [taylor]: Taking taylor expansion of n in n
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [backup-simplify]: Simplify (/ PI 1) into PI
7.843 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.844 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.844 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.844 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.847 * [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)))
7.848 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.848 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.848 * [taylor]: Taking taylor expansion of -1 in n
7.848 * [backup-simplify]: Simplify -1 into -1
7.848 * [taylor]: Taking taylor expansion of k in n
7.848 * [backup-simplify]: Simplify k into k
7.848 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.848 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.848 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.850 * [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)))
7.850 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
7.850 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.850 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.850 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.850 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.850 * [taylor]: Taking taylor expansion of 1/2 in n
7.850 * [backup-simplify]: Simplify 1/2 into 1/2
7.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.850 * [taylor]: Taking taylor expansion of k in n
7.850 * [backup-simplify]: Simplify k into k
7.850 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.850 * [taylor]: Taking taylor expansion of 1/2 in n
7.850 * [backup-simplify]: Simplify 1/2 into 1/2
7.850 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.850 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.850 * [taylor]: Taking taylor expansion of -2 in n
7.850 * [backup-simplify]: Simplify -2 into -2
7.850 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.850 * [taylor]: Taking taylor expansion of PI in n
7.850 * [backup-simplify]: Simplify PI into PI
7.850 * [taylor]: Taking taylor expansion of n in n
7.850 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [backup-simplify]: Simplify (/ PI 1) into PI
7.852 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.853 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.853 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.853 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.855 * [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)))
7.857 * [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))))
7.857 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.857 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.857 * [taylor]: Taking taylor expansion of -1 in n
7.857 * [backup-simplify]: Simplify -1 into -1
7.857 * [taylor]: Taking taylor expansion of k in n
7.857 * [backup-simplify]: Simplify k into k
7.857 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.857 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.857 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.858 * [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)))
7.859 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
7.859 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
7.859 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
7.859 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.859 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.859 * [taylor]: Taking taylor expansion of 1/2 in k
7.859 * [backup-simplify]: Simplify 1/2 into 1/2
7.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.859 * [taylor]: Taking taylor expansion of k in k
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify (/ 1 1) into 1
7.859 * [taylor]: Taking taylor expansion of 1/2 in k
7.859 * [backup-simplify]: Simplify 1/2 into 1/2
7.859 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
7.859 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
7.859 * [taylor]: Taking taylor expansion of (* -2 PI) in k
7.859 * [taylor]: Taking taylor expansion of -2 in k
7.859 * [backup-simplify]: Simplify -2 into -2
7.859 * [taylor]: Taking taylor expansion of PI in k
7.860 * [backup-simplify]: Simplify PI into PI
7.860 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.861 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.861 * [taylor]: Taking taylor expansion of (log n) in k
7.861 * [taylor]: Taking taylor expansion of n in k
7.861 * [backup-simplify]: Simplify n into n
7.861 * [backup-simplify]: Simplify (log n) into (log n)
7.862 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.862 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.862 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.863 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
7.864 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
7.866 * [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))))
7.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.866 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.866 * [taylor]: Taking taylor expansion of -1 in k
7.866 * [backup-simplify]: Simplify -1 into -1
7.866 * [taylor]: Taking taylor expansion of k in k
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify 1 into 1
7.866 * [backup-simplify]: Simplify (/ -1 1) into -1
7.867 * [backup-simplify]: Simplify (sqrt 0) into 0
7.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.870 * [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)))))
7.871 * [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)))))
7.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.873 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
7.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.876 * [backup-simplify]: Simplify (+ 0 0) into 0
7.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.879 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
7.880 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.881 * [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
7.881 * [taylor]: Taking taylor expansion of 0 in k
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.886 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.888 * [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))))))
7.888 * [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))))))
7.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.890 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.892 * [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
7.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.895 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
7.897 * [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
7.897 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
7.898 * [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
7.898 * [taylor]: Taking taylor expansion of 0 in k
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.903 * [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))))))
7.904 * [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))))))
7.907 * [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)))))))))))
7.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
7.907 * [backup-simplify]: Simplify (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) into (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k))
7.907 * [approximate]: Taking taylor expansion of (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k)) in (n k) around 0
7.907 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k)) in k
7.907 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k) in k
7.907 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.907 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.907 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.907 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.907 * [taylor]: Taking taylor expansion of 1/2 in k
7.907 * [backup-simplify]: Simplify 1/2 into 1/2
7.907 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.907 * [taylor]: Taking taylor expansion of 1/2 in k
7.907 * [backup-simplify]: Simplify 1/2 into 1/2
7.907 * [taylor]: Taking taylor expansion of k in k
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.907 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.907 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.907 * [taylor]: Taking taylor expansion of 2 in k
7.907 * [backup-simplify]: Simplify 2 into 2
7.907 * [taylor]: Taking taylor expansion of (* n PI) in k
7.907 * [taylor]: Taking taylor expansion of n in k
7.907 * [backup-simplify]: Simplify n into n
7.907 * [taylor]: Taking taylor expansion of PI in k
7.907 * [backup-simplify]: Simplify PI into PI
7.907 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.907 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.907 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.908 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.908 * [backup-simplify]: Simplify (- 0) into 0
7.909 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.909 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.909 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.909 * [taylor]: Taking taylor expansion of k in k
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.909 * [backup-simplify]: Simplify (/ (pow (* 2 (* n PI)) 1/2) 1) into (sqrt (* PI (* n 2)))
7.910 * [backup-simplify]: Simplify (sqrt 0) into 0
7.910 * [backup-simplify]: Simplify (/ (sqrt (* PI (* n 2))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))
7.910 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k)) in n
7.910 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k) in n
7.910 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.910 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.910 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.910 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.910 * [taylor]: Taking taylor expansion of 1/2 in n
7.910 * [backup-simplify]: Simplify 1/2 into 1/2
7.910 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.910 * [taylor]: Taking taylor expansion of 1/2 in n
7.911 * [backup-simplify]: Simplify 1/2 into 1/2
7.911 * [taylor]: Taking taylor expansion of k in n
7.911 * [backup-simplify]: Simplify k into k
7.911 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.911 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.911 * [taylor]: Taking taylor expansion of 2 in n
7.911 * [backup-simplify]: Simplify 2 into 2
7.911 * [taylor]: Taking taylor expansion of (* n PI) in n
7.911 * [taylor]: Taking taylor expansion of n in n
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 1 into 1
7.911 * [taylor]: Taking taylor expansion of PI in n
7.911 * [backup-simplify]: Simplify PI into PI
7.911 * [backup-simplify]: Simplify (* 0 PI) into 0
7.912 * [backup-simplify]: Simplify (* 2 0) into 0
7.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.915 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.916 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.916 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.916 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.917 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.920 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.921 * [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)))))
7.921 * [taylor]: Taking taylor expansion of k in n
7.921 * [backup-simplify]: Simplify k into k
7.922 * [backup-simplify]: Simplify (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) into (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)
7.923 * [backup-simplify]: Simplify (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)) into (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k))
7.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.927 * [backup-simplify]: Simplify (- 0) into 0
7.927 * [backup-simplify]: Simplify (+ 0 0) into 0
7.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.929 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.930 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) (/ 0 k)))) into 0
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)))) into 0
7.932 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k)) in n
7.932 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) k) in n
7.932 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.932 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.932 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.932 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.932 * [taylor]: Taking taylor expansion of 1/2 in n
7.932 * [backup-simplify]: Simplify 1/2 into 1/2
7.932 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.932 * [taylor]: Taking taylor expansion of 1/2 in n
7.932 * [backup-simplify]: Simplify 1/2 into 1/2
7.932 * [taylor]: Taking taylor expansion of k in n
7.932 * [backup-simplify]: Simplify k into k
7.932 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.932 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.932 * [taylor]: Taking taylor expansion of 2 in n
7.932 * [backup-simplify]: Simplify 2 into 2
7.932 * [taylor]: Taking taylor expansion of (* n PI) in n
7.932 * [taylor]: Taking taylor expansion of n in n
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of PI in n
7.932 * [backup-simplify]: Simplify PI into PI
7.932 * [backup-simplify]: Simplify (* 0 PI) into 0
7.932 * [backup-simplify]: Simplify (* 2 0) into 0
7.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.935 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.935 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.935 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.935 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.935 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.937 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.938 * [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)))))
7.938 * [taylor]: Taking taylor expansion of k in n
7.938 * [backup-simplify]: Simplify k into k
7.939 * [backup-simplify]: Simplify (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) into (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)
7.939 * [backup-simplify]: Simplify (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)) into (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k))
7.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.942 * [backup-simplify]: Simplify (- 0) into 0
7.943 * [backup-simplify]: Simplify (+ 0 0) into 0
7.943 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.944 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.945 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.946 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) (/ 0 k)))) into 0
7.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)))) into 0
7.947 * [taylor]: Taking taylor expansion of (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)) in k
7.947 * [taylor]: Taking taylor expansion of (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) in k
7.947 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
7.947 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
7.947 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.947 * [taylor]: Taking taylor expansion of 1/2 in k
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.947 * [taylor]: Taking taylor expansion of 1/2 in k
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of k in k
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 1 into 1
7.947 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.947 * [taylor]: Taking taylor expansion of (log n) in k
7.947 * [taylor]: Taking taylor expansion of n in k
7.947 * [backup-simplify]: Simplify n into n
7.947 * [backup-simplify]: Simplify (log n) into (log n)
7.947 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.947 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.947 * [taylor]: Taking taylor expansion of 2 in k
7.947 * [backup-simplify]: Simplify 2 into 2
7.947 * [taylor]: Taking taylor expansion of PI in k
7.947 * [backup-simplify]: Simplify PI into PI
7.948 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.949 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.949 * [backup-simplify]: Simplify (- 0) into 0
7.949 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.950 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.950 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.951 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.951 * [taylor]: Taking taylor expansion of k in k
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.952 * [backup-simplify]: Simplify (sqrt 0) into 0
7.953 * [backup-simplify]: Simplify (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
7.953 * [backup-simplify]: Simplify 0 into 0
7.953 * [taylor]: Taking taylor expansion of 0 in k
7.953 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
7.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.957 * [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
7.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.958 * [backup-simplify]: Simplify (- 0) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.960 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.962 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.963 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.964 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)))) into 0
7.964 * [taylor]: Taking taylor expansion of 0 in k
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.965 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.966 * [backup-simplify]: Simplify (+ 0 0) into 0
7.967 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.967 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.967 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
7.972 * [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)))))))
7.976 * [backup-simplify]: Simplify (- (/ (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1) (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (/ 0 1)))) into (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))
7.982 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (pow (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))))
7.991 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) into (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))
7.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
8.001 * [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
8.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
8.003 * [backup-simplify]: Simplify (- 0) into 0
8.003 * [backup-simplify]: Simplify (+ 0 0) into 0
8.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.006 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
8.009 * [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
8.010 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) k)))) into 0
8.013 * [taylor]: Taking taylor expansion of 0 in k
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.019 * [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
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.021 * [backup-simplify]: Simplify (- 0) into 0
8.021 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.027 * [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)))))
8.038 * [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))))) 1) (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (/ 0 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (/ 0 1)))) into (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))
8.054 * [backup-simplify]: Simplify (/ (- (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 2 (* (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* +nan.0 (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (- (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))))))))
8.066 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (- (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))))))) into (* +nan.0 (- (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (- (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))))))))
8.086 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (- (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))))))) (pow (* k 1) 2)) (+ (* (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* +nan.0 (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))) (* k 1)) (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))) (- (+ (* +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) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))))))))))))))))))))
8.086 * [backup-simplify]: Simplify (/ (sqrt (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (sqrt (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
8.086 * [approximate]: Taking taylor expansion of (sqrt (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in (n k) around 0
8.086 * [taylor]: Taking taylor expansion of (sqrt (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in k
8.086 * [taylor]: Taking taylor expansion of (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
8.086 * [taylor]: Taking taylor expansion of k in k
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
8.086 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.086 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.086 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.086 * [taylor]: Taking taylor expansion of 1/2 in k
8.086 * [backup-simplify]: Simplify 1/2 into 1/2
8.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.086 * [taylor]: Taking taylor expansion of 1/2 in k
8.086 * [backup-simplify]: Simplify 1/2 into 1/2
8.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.086 * [taylor]: Taking taylor expansion of k in k
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify (/ 1 1) into 1
8.087 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.087 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.087 * [taylor]: Taking taylor expansion of 2 in k
8.087 * [backup-simplify]: Simplify 2 into 2
8.087 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.087 * [taylor]: Taking taylor expansion of PI in k
8.087 * [backup-simplify]: Simplify PI into PI
8.087 * [taylor]: Taking taylor expansion of n in k
8.087 * [backup-simplify]: Simplify n into n
8.087 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.087 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.087 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.087 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.088 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.088 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.088 * [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))))
8.088 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
8.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
8.088 * [backup-simplify]: Simplify (sqrt 0) into 0
8.089 * [backup-simplify]: Simplify (/ (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (* 2 (sqrt 0))) into (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
8.089 * [taylor]: Taking taylor expansion of (sqrt (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
8.089 * [taylor]: Taking taylor expansion of (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.089 * [taylor]: Taking taylor expansion of k in n
8.089 * [backup-simplify]: Simplify k into k
8.089 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.089 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.089 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.089 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.089 * [taylor]: Taking taylor expansion of 1/2 in n
8.089 * [backup-simplify]: Simplify 1/2 into 1/2
8.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.089 * [taylor]: Taking taylor expansion of 1/2 in n
8.089 * [backup-simplify]: Simplify 1/2 into 1/2
8.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.089 * [taylor]: Taking taylor expansion of k in n
8.089 * [backup-simplify]: Simplify k into k
8.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.089 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.089 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.089 * [taylor]: Taking taylor expansion of 2 in n
8.089 * [backup-simplify]: Simplify 2 into 2
8.089 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.089 * [taylor]: Taking taylor expansion of PI in n
8.089 * [backup-simplify]: Simplify PI into PI
8.089 * [taylor]: Taking taylor expansion of n in n
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.090 * [backup-simplify]: Simplify (/ PI 1) into PI
8.090 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.091 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.091 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.091 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.091 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.093 * [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)))
8.093 * [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))))
8.094 * [backup-simplify]: Simplify (* 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)))) k)
8.095 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k))
8.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.096 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.097 * [backup-simplify]: Simplify (- 0) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.099 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.100 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.101 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)))) into 0
8.102 * [taylor]: Taking taylor expansion of (sqrt (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
8.102 * [taylor]: Taking taylor expansion of (* k (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.102 * [taylor]: Taking taylor expansion of k in n
8.102 * [backup-simplify]: Simplify k into k
8.102 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.102 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.102 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.102 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.102 * [taylor]: Taking taylor expansion of 1/2 in n
8.102 * [backup-simplify]: Simplify 1/2 into 1/2
8.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.102 * [taylor]: Taking taylor expansion of 1/2 in n
8.102 * [backup-simplify]: Simplify 1/2 into 1/2
8.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.102 * [taylor]: Taking taylor expansion of k in n
8.103 * [backup-simplify]: Simplify k into k
8.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.103 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.103 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.103 * [taylor]: Taking taylor expansion of 2 in n
8.103 * [backup-simplify]: Simplify 2 into 2
8.103 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.103 * [taylor]: Taking taylor expansion of PI in n
8.103 * [backup-simplify]: Simplify PI into PI
8.103 * [taylor]: Taking taylor expansion of n in n
8.103 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify 1 into 1
8.103 * [backup-simplify]: Simplify (/ PI 1) into PI
8.103 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.104 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.104 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.104 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.106 * [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)))
8.106 * [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))))
8.107 * [backup-simplify]: Simplify (* 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)))) k)
8.108 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k))
8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.109 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.111 * [backup-simplify]: Simplify (- 0) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.116 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.117 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.118 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
8.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)))) into 0
8.119 * [taylor]: Taking taylor expansion of (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)) in k
8.119 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k) in k
8.119 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
8.119 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
8.119 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.119 * [taylor]: Taking taylor expansion of 1/2 in k
8.119 * [backup-simplify]: Simplify 1/2 into 1/2
8.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.119 * [taylor]: Taking taylor expansion of 1/2 in k
8.119 * [backup-simplify]: Simplify 1/2 into 1/2
8.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.119 * [taylor]: Taking taylor expansion of k in k
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [backup-simplify]: Simplify (/ 1 1) into 1
8.119 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
8.119 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
8.119 * [taylor]: Taking taylor expansion of (* 2 PI) in k
8.119 * [taylor]: Taking taylor expansion of 2 in k
8.119 * [backup-simplify]: Simplify 2 into 2
8.119 * [taylor]: Taking taylor expansion of PI in k
8.119 * [backup-simplify]: Simplify PI into PI
8.119 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.120 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.120 * [taylor]: Taking taylor expansion of (log n) in k
8.120 * [taylor]: Taking taylor expansion of n in k
8.120 * [backup-simplify]: Simplify n into n
8.120 * [backup-simplify]: Simplify (log n) into (log n)
8.120 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.121 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.121 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.121 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.122 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
8.122 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
8.123 * [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))))
8.123 * [taylor]: Taking taylor expansion of k in k
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.124 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
8.125 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1) (* 0 0)) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
8.125 * [backup-simplify]: Simplify (sqrt 0) into 0
8.126 * [backup-simplify]: Simplify (/ (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [taylor]: Taking taylor expansion of 0 in k
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 0 into 0
8.127 * [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)))))
8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.130 * [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
8.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.131 * [backup-simplify]: Simplify (- 0) into 0
8.131 * [backup-simplify]: Simplify (+ 0 0) into 0
8.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.133 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
8.134 * [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
8.135 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
8.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)))) into 0
8.136 * [taylor]: Taking taylor expansion of 0 in k
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 1) (* 0 0))) into 0
8.139 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 2) (+)) (* 2 0)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2))
8.139 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2))
8.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.144 * [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
8.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
8.146 * [backup-simplify]: Simplify (- 0) into 0
8.146 * [backup-simplify]: Simplify (+ 0 0) into 0
8.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.148 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
8.149 * [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
8.151 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
8.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) k)))) into 0
8.152 * [taylor]: Taking taylor expansion of 0 in k
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2)))))) (* 2 0)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3))
8.156 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3))
8.159 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 3)) (pow (* (/ 1 k) 1) 3)) (+ (* (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 2)) (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))))) k)) (- (+ (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow k 2))))))))
8.159 * [backup-simplify]: Simplify (/ (sqrt (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))))
8.159 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))) in (n k) around 0
8.159 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))) in k
8.159 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
8.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.159 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.159 * [taylor]: Taking taylor expansion of -1 in k
8.159 * [backup-simplify]: Simplify -1 into -1
8.159 * [taylor]: Taking taylor expansion of k in k
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.159 * [backup-simplify]: Simplify (/ -1 1) into -1
8.160 * [backup-simplify]: Simplify (sqrt 0) into 0
8.160 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.161 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
8.161 * [taylor]: Taking taylor expansion of (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
8.161 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.161 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
8.161 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
8.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.161 * [taylor]: Taking taylor expansion of 1/2 in k
8.161 * [backup-simplify]: Simplify 1/2 into 1/2
8.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.161 * [taylor]: Taking taylor expansion of k in k
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 1 into 1
8.161 * [backup-simplify]: Simplify (/ 1 1) into 1
8.161 * [taylor]: Taking taylor expansion of 1/2 in k
8.161 * [backup-simplify]: Simplify 1/2 into 1/2
8.161 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.161 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.161 * [taylor]: Taking taylor expansion of -2 in k
8.161 * [backup-simplify]: Simplify -2 into -2
8.161 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.161 * [taylor]: Taking taylor expansion of PI in k
8.161 * [backup-simplify]: Simplify PI into PI
8.161 * [taylor]: Taking taylor expansion of n in k
8.161 * [backup-simplify]: Simplify n into n
8.161 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.162 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.162 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.162 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.162 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.162 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.162 * [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)))
8.162 * [backup-simplify]: Simplify (sqrt (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (sqrt (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
8.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
8.163 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.163 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
8.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.163 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.163 * [taylor]: Taking taylor expansion of -1 in n
8.163 * [backup-simplify]: Simplify -1 into -1
8.163 * [taylor]: Taking taylor expansion of k in n
8.163 * [backup-simplify]: Simplify k into k
8.163 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.163 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.163 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.163 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
8.163 * [taylor]: Taking taylor expansion of (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.163 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.163 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
8.163 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
8.163 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.163 * [taylor]: Taking taylor expansion of 1/2 in n
8.163 * [backup-simplify]: Simplify 1/2 into 1/2
8.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.163 * [taylor]: Taking taylor expansion of k in n
8.163 * [backup-simplify]: Simplify k into k
8.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.163 * [taylor]: Taking taylor expansion of 1/2 in n
8.163 * [backup-simplify]: Simplify 1/2 into 1/2
8.163 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.163 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.163 * [taylor]: Taking taylor expansion of -2 in n
8.163 * [backup-simplify]: Simplify -2 into -2
8.163 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.163 * [taylor]: Taking taylor expansion of PI in n
8.163 * [backup-simplify]: Simplify PI into PI
8.163 * [taylor]: Taking taylor expansion of n in n
8.163 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify 1 into 1
8.164 * [backup-simplify]: Simplify (/ PI 1) into PI
8.164 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.165 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.165 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.166 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.167 * [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)))
8.168 * [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))))
8.169 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.170 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.172 * [backup-simplify]: Simplify (+ 0 0) into 0
8.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.174 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
8.175 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.176 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.176 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
8.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.176 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.176 * [taylor]: Taking taylor expansion of -1 in n
8.176 * [backup-simplify]: Simplify -1 into -1
8.176 * [taylor]: Taking taylor expansion of k in n
8.176 * [backup-simplify]: Simplify k into k
8.176 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.176 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.176 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.176 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
8.176 * [taylor]: Taking taylor expansion of (sqrt (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.176 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.176 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
8.176 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
8.176 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.176 * [taylor]: Taking taylor expansion of 1/2 in n
8.176 * [backup-simplify]: Simplify 1/2 into 1/2
8.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.176 * [taylor]: Taking taylor expansion of k in n
8.176 * [backup-simplify]: Simplify k into k
8.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.176 * [taylor]: Taking taylor expansion of 1/2 in n
8.176 * [backup-simplify]: Simplify 1/2 into 1/2
8.176 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.176 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.176 * [taylor]: Taking taylor expansion of -2 in n
8.176 * [backup-simplify]: Simplify -2 into -2
8.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.176 * [taylor]: Taking taylor expansion of PI in n
8.176 * [backup-simplify]: Simplify PI into PI
8.176 * [taylor]: Taking taylor expansion of n in n
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 1 into 1
8.177 * [backup-simplify]: Simplify (/ PI 1) into PI
8.177 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.178 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.178 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.179 * [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)))
8.180 * [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))))
8.181 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.182 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.184 * [backup-simplify]: Simplify (+ 0 0) into 0
8.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.185 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
8.186 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.188 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.188 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) in k
8.188 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
8.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.188 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.188 * [taylor]: Taking taylor expansion of -1 in k
8.188 * [backup-simplify]: Simplify -1 into -1
8.188 * [taylor]: Taking taylor expansion of k in k
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (/ -1 1) into -1
8.189 * [backup-simplify]: Simplify (sqrt 0) into 0
8.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.190 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
8.190 * [taylor]: Taking taylor expansion of (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
8.190 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
8.190 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
8.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.190 * [taylor]: Taking taylor expansion of 1/2 in k
8.190 * [backup-simplify]: Simplify 1/2 into 1/2
8.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.190 * [taylor]: Taking taylor expansion of k in k
8.190 * [backup-simplify]: Simplify 0 into 0
8.190 * [backup-simplify]: Simplify 1 into 1
8.190 * [backup-simplify]: Simplify (/ 1 1) into 1
8.190 * [taylor]: Taking taylor expansion of 1/2 in k
8.190 * [backup-simplify]: Simplify 1/2 into 1/2
8.190 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
8.190 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
8.190 * [taylor]: Taking taylor expansion of (* -2 PI) in k
8.190 * [taylor]: Taking taylor expansion of -2 in k
8.190 * [backup-simplify]: Simplify -2 into -2
8.190 * [taylor]: Taking taylor expansion of PI in k
8.190 * [backup-simplify]: Simplify PI into PI
8.191 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.191 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.191 * [taylor]: Taking taylor expansion of (log n) in k
8.191 * [taylor]: Taking taylor expansion of n in k
8.191 * [backup-simplify]: Simplify n into n
8.191 * [backup-simplify]: Simplify (log n) into (log n)
8.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.192 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.192 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.193 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
8.193 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
8.194 * [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))))
8.195 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.197 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.198 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
8.199 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (* 0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.199 * [taylor]: Taking taylor expansion of 0 in k
8.199 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.209 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
8.211 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.212 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
8.218 * [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
8.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.221 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.222 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
8.224 * [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
8.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.226 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
8.229 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
8.229 * [taylor]: Taking taylor expansion of 0 in k
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 0 into 0
8.229 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.240 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
8.243 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.248 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 k))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 (pow k 2)))))))))
8.249 * * * [progress]: simplifying candidates
8.249 * * * * [progress]: [ 1 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 2 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 3 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 4 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 5 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 6 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 7 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 8 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 9 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 10 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 11 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 12 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 13 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 14 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 15 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 16 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.249 * * * * [progress]: [ 17 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 18 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 19 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 20 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 21 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 22 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 23 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 24 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 25 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 26 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 27 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 28 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 29 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 30 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 31 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 32 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 33 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 34 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 35 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 36 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 37 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 38 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.250 * * * * [progress]: [ 39 / 311 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1))>
8.250 * * * * [progress]: [ 40 / 311 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1))>
8.250 * * * * [progress]: [ 41 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))))>
8.250 * * * * [progress]: [ 42 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 43 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))))>
8.251 * * * * [progress]: [ 44 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 45 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))))>
8.251 * * * * [progress]: [ 46 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 47 / 311 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 48 / 311 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 49 / 311 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
8.251 * * * * [progress]: [ 50 / 311 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 51 / 311 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
8.251 * * * * [progress]: [ 52 / 311 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 53 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 54 / 311 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 55 / 311 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 56 / 311 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* 1 (sqrt k))))>
8.251 * * * * [progress]: [ 57 / 311 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.251 * * * * [progress]: [ 58 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.251 * * * * [progress]: [ 59 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.251 * * * * [progress]: [ 60 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 61 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 62 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 63 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 64 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 65 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.252 * * * * [progress]: [ 66 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 67 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 68 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 69 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 70 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 71 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 72 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.252 * * * * [progress]: [ 73 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 74 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 75 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 76 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 77 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 78 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.252 * * * * [progress]: [ 79 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.252 * * * * [progress]: [ 80 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 81 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 82 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 83 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 84 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 85 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 86 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.253 * * * * [progress]: [ 87 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 88 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 89 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 90 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 91 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 92 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 93 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.253 * * * * [progress]: [ 94 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 95 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 96 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 97 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 98 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 99 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.253 * * * * [progress]: [ 100 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.254 * * * * [progress]: [ 101 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 102 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 103 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 104 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 105 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 106 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.254 * * * * [progress]: [ 107 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.254 * * * * [progress]: [ 108 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.254 * * * * [progress]: [ 109 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))>
8.254 * * * * [progress]: [ 110 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))))>
8.254 * * * * [progress]: [ 111 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.254 * * * * [progress]: [ 112 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.254 * * * * [progress]: [ 113 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.254 * * * * [progress]: [ 114 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1)) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.254 * * * * [progress]: [ 115 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k)))))>
8.254 * * * * [progress]: [ 116 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k)))))>
8.254 * * * * [progress]: [ 117 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))))>
8.254 * * * * [progress]: [ 118 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))))>
8.254 * * * * [progress]: [ 119 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))))>
8.254 * * * * [progress]: [ 120 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1)) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))))>
8.254 * * * * [progress]: [ 121 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k)))))>
8.254 * * * * [progress]: [ 122 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k)))))>
8.255 * * * * [progress]: [ 123 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 124 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))))>
8.255 * * * * [progress]: [ 125 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 126 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1)) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))))>
8.255 * * * * [progress]: [ 127 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
8.255 * * * * [progress]: [ 128 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
8.255 * * * * [progress]: [ 129 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 130 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
8.255 * * * * [progress]: [ 131 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 132 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
8.255 * * * * [progress]: [ 133 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))>
8.255 * * * * [progress]: [ 134 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))))>
8.255 * * * * [progress]: [ 135 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 136 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.255 * * * * [progress]: [ 137 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 138 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1)) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.255 * * * * [progress]: [ 139 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))>
8.255 * * * * [progress]: [ 140 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))))>
8.255 * * * * [progress]: [ 141 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.255 * * * * [progress]: [ 142 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.255 * * * * [progress]: [ 143 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 144 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.256 * * * * [progress]: [ 145 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
8.256 * * * * [progress]: [ 146 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
8.256 * * * * [progress]: [ 147 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 148 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.256 * * * * [progress]: [ 149 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 150 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.256 * * * * [progress]: [ 151 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k)))))>
8.256 * * * * [progress]: [ 152 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k)))))>
8.256 * * * * [progress]: [ 153 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 154 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))))>
8.256 * * * * [progress]: [ 155 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 156 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))))>
8.256 * * * * [progress]: [ 157 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))>
8.256 * * * * [progress]: [ 158 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))))>
8.256 * * * * [progress]: [ 159 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 160 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.256 * * * * [progress]: [ 161 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
8.256 * * * * [progress]: [ 162 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))))>
8.256 * * * * [progress]: [ 163 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
8.256 * * * * [progress]: [ 164 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
8.256 * * * * [progress]: [ 165 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.257 * * * * [progress]: [ 166 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt 1))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.257 * * * * [progress]: [ 167 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
8.257 * * * * [progress]: [ 168 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.257 * * * * [progress]: [ 169 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.257 * * * * [progress]: [ 170 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))))>
8.257 * * * * [progress]: [ 171 / 311 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1))) (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 172 / 311 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 173 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt 1) (cbrt 1))) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 174 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 175 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 176 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 177 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 178 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 179 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 180 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 181 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 182 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 183 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1)) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 184 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 185 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 186 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 187 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.257 * * * * [progress]: [ 188 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 189 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 190 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 191 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 192 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 193 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 194 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 195 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 196 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 197 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 198 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 199 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 200 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 201 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 202 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 203 / 311 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 204 / 311 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.258 * * * * [progress]: [ 205 / 311 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
8.258 * * * * [progress]: [ 206 / 311 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1))>
8.258 * * * * [progress]: [ 207 / 311 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.258 * * * * [progress]: [ 208 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
8.258 * * * * [progress]: [ 209 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (pow (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1)))>
8.258 * * * * [progress]: [ 210 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (exp (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))))>
8.258 * * * * [progress]: [ 211 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (exp (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.258 * * * * [progress]: [ 212 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (log (exp (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.259 * * * * [progress]: [ 213 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (cbrt (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
8.259 * * * * [progress]: [ 214 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.259 * * * * [progress]: [ 215 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (cbrt (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.259 * * * * [progress]: [ 216 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) k))))>
8.259 * * * * [progress]: [ 217 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.259 * * * * [progress]: [ 218 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (- (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- (sqrt k)))))>
8.259 * * * * [progress]: [ 219 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))))>
8.259 * * * * [progress]: [ 220 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))))>
8.259 * * * * [progress]: [ 221 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.259 * * * * [progress]: [ 222 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.259 * * * * [progress]: [ 223 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.259 * * * * [progress]: [ 224 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.259 * * * * [progress]: [ 225 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k))))))>
8.259 * * * * [progress]: [ 226 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k))))))>
8.259 * * * * [progress]: [ 227 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))))))>
8.259 * * * * [progress]: [ 228 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))))>
8.259 * * * * [progress]: [ 229 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))))))>
8.259 * * * * [progress]: [ 230 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))))>
8.259 * * * * [progress]: [ 231 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k))))))>
8.259 * * * * [progress]: [ 232 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k))))))>
8.259 * * * * [progress]: [ 233 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))))))>
8.259 * * * * [progress]: [ 234 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))))>
8.260 * * * * [progress]: [ 235 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 236 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))))>
8.260 * * * * [progress]: [ 237 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
8.260 * * * * [progress]: [ 238 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
8.260 * * * * [progress]: [ 239 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 240 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
8.260 * * * * [progress]: [ 241 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 242 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
8.260 * * * * [progress]: [ 243 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))))>
8.260 * * * * [progress]: [ 244 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))))>
8.260 * * * * [progress]: [ 245 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 246 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.260 * * * * [progress]: [ 247 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 248 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.260 * * * * [progress]: [ 249 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))))>
8.260 * * * * [progress]: [ 250 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))))>
8.260 * * * * [progress]: [ 251 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 252 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.260 * * * * [progress]: [ 253 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.260 * * * * [progress]: [ 254 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.260 * * * * [progress]: [ 255 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
8.261 * * * * [progress]: [ 256 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
8.261 * * * * [progress]: [ 257 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 258 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.261 * * * * [progress]: [ 259 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 260 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt 1) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.261 * * * * [progress]: [ 261 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k))))))>
8.261 * * * * [progress]: [ 262 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k))))))>
8.261 * * * * [progress]: [ 263 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 264 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))))>
8.261 * * * * [progress]: [ 265 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 266 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))))>
8.261 * * * * [progress]: [ 267 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))))>
8.261 * * * * [progress]: [ 268 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))))>
8.261 * * * * [progress]: [ 269 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 270 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.261 * * * * [progress]: [ 271 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 272 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))))>
8.261 * * * * [progress]: [ 273 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
8.261 * * * * [progress]: [ 274 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
8.261 * * * * [progress]: [ 275 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 276 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.261 * * * * [progress]: [ 277 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
8.261 * * * * [progress]: [ 278 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (/ 1 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.262 * * * * [progress]: [ 279 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* 1 (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
8.262 * * * * [progress]: [ 280 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
8.262 * * * * [progress]: [ 281 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.262 * * * * [progress]: [ 282 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
8.262 * * * * [progress]: [ 283 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
8.262 * * * * [progress]: [ 284 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
8.262 * * * * [progress]: [ 285 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt k))))>
8.262 * * * * [progress]: [ 286 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
8.262 * * * * [progress]: [ 287 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt k))))>
8.262 * * * * [progress]: [ 288 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
8.262 * * * * [progress]: [ 289 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))))))>
8.262 * * * * [progress]: [ 290 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))))))>
8.262 * * * * [progress]: [ 291 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
8.262 * * * * [progress]: [ 292 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
8.262 * * * * [progress]: [ 293 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
8.262 * * * * [progress]: [ 294 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.262 * * * * [progress]: [ 295 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))))>
8.262 * * * * [progress]: [ 296 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
8.262 * * * * [progress]: [ 297 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.262 * * * * [progress]: [ 298 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (sqrt k) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))>
8.262 * * * * [progress]: [ 299 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (posit16->real (real->posit16 (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))))>
8.262 * * * * [progress]: [ 300 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.262 * * * * [progress]: [ 301 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.262 * * * * [progress]: [ 302 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
8.262 * * * * [progress]: [ 303 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.263 * * * * [progress]: [ 304 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.263 * * * * [progress]: [ 305 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
8.263 * * * * [progress]: [ 306 / 311 ] 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)))))))))))))))))))))))>
8.263 * * * * [progress]: [ 307 / 311 ] 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)))))))))>
8.263 * * * * [progress]: [ 308 / 311 ] 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))))))))))))>
8.263 * * * * [progress]: [ 309 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))) (- (+ (* +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) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))))))))))))))))))))))>
8.263 * * * * [progress]: [ 310 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (+ (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow k 2))))))))))>
8.263 * * * * [progress]: [ 311 / 311 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (- (+ (* +nan.0 (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 k))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 (pow k 2)))))))))))>
8.267 * [simplify]: Simplifying:
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (sqrt k))))
  (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (log (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (exp (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))))
  (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (* 1 (sqrt k))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
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  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))
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  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
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  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1))
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1)
  (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt k) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt k) (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (* (sqrt k) (sqrt (pow (* (* n 2) PI) (/ k 2))))
  (real->posit16 (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 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)))))))))))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))) (- (+ (* +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) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (+ (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow k 2))))))))
  (- (+ (* +nan.0 (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 k))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 (pow k 2)))))))))
8.275 * * [simplify]: iteration 0: 448 enodes
8.482 * * [simplify]: iteration 1: 1336 enodes
8.987 * * [simplify]: iteration 2: 3408 enodes
9.891 * * [simplify]: iteration complete: 5003 enodes
9.891 * * [simplify]: Extracting #0: cost 141 inf + 0
9.894 * * [simplify]: Extracting #1: cost 554 inf + 1
9.909 * * [simplify]: Extracting #2: cost 818 inf + 3161
9.920 * * [simplify]: Extracting #3: cost 982 inf + 20970
9.937 * * [simplify]: Extracting #4: cost 930 inf + 82103
9.986 * * [simplify]: Extracting #5: cost 756 inf + 209254
10.093 * * [simplify]: Extracting #6: cost 523 inf + 368200
10.198 * * [simplify]: Extracting #7: cost 342 inf + 464911
10.361 * * [simplify]: Extracting #8: cost 123 inf + 588788
10.561 * * [simplify]: Extracting #9: cost 25 inf + 670227
10.732 * * [simplify]: Extracting #10: cost 4 inf + 681880
10.892 * * [simplify]: Extracting #11: cost 2 inf + 670386
11.125 * * [simplify]: Extracting #12: cost 0 inf + 665154
11.364 * * [simplify]: Extracting #13: cost 0 inf + 663008
11.601 * * [simplify]: Extracting #14: cost 0 inf + 662544
11.772 * * [simplify]: Extracting #15: cost 0 inf + 662464
11.961 * [simplify]: Simplified to:
  (* 2 (* PI n))
  (* 2 (* PI n))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI 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)))
  (* (cbrt PI) (* n (* 2 (cbrt PI))))
  (* n (* 2 (sqrt PI)))
  (* 2 n)
  (* PI 2)
  (real->posit16 (* 2 (* PI n)))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI 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)))
  (* (cbrt PI) (* n (* 2 (cbrt PI))))
  (* n (* 2 (sqrt PI)))
  (* 2 n)
  (* PI 2)
  (real->posit16 (* 2 (* PI n)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))) (log (sqrt k)))
  (exp (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* 2 (* PI n)) (- 1/2 (/ k 2))) (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))
  (sqrt k)
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
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  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (* 2 (* PI n)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* 2 (* PI n))))
  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* 2 (* PI n))))
  (/ (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (sqrt k))
  (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ (fabs (pow PI (- 1/4 (/ k 4)))) (sqrt k))
  (/ (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (fabs (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt k))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))) (sqrt k))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2)))))
  (/ (sqrt k) (fabs (pow PI (- 1/4 (/ k 4)))))
  (/ (sqrt k) (sqrt (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/4 (/ k 4)))))
  (/ (sqrt k) (sqrt (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))
  (* (sqrt k) (sqrt (pow (* 2 (* PI n)) (/ k 2))))
  (real->posit16 (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) (sqrt k)))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (- (* (- (log (* PI 2))) (* (* +nan.0 (* (sqrt (* 2 (* PI n))) (* k k))) (log n))) (+ (* (- (log (* PI 2))) (* +nan.0 (* (sqrt (* 2 (* PI n))) (* k k)))) (+ (- (* (* (* (log n) k) (* (log n) k)) (* (sqrt (* 2 (* PI n))) +nan.0)) (* (sqrt (* 2 (* PI n))) (* k +nan.0))) (+ (- (* (sqrt (* 2 (* PI n))) +nan.0) (* (* (* (log (* PI 2)) +nan.0) (log (* PI 2))) (* (sqrt (* 2 (* PI n))) (* k k)))) (+ (- (* (* +nan.0 (* (sqrt (* 2 (* PI n))) (* k k))) (log n)) (* +nan.0 (* (sqrt (* 2 (* PI n))) (* k k)))) (- (* (* (log (* PI 2)) +nan.0) (* k (sqrt (* 2 (* PI n))))) (* (* (log n) (sqrt (* 2 (* PI n)))) (* k +nan.0))))))))
  (+ (* (/ (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (* k k)) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) (* k k)))))
  (+ (- (/ (* +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))))) (* k k)) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))
  (+ (* (- +nan.0) (* (log (* PI 2)) (* (* 2 (* PI n)) (* k k)))) (+ (- (* (* +nan.0 k) (* 2 (* PI n))) (* (log (* PI 2)) (* (* +nan.0 (* (sqrt (* 2 (* PI n))) (* k k))) (log n)))) (+ (- (* (sqrt (* 2 (* PI n))) +nan.0) (* (* (* 2 (* PI n)) (* (log n) (* k k))) +nan.0)) (+ (- (* (* (* (log (* PI 2)) +nan.0) (log (* PI 2))) (* (sqrt (* 2 (* PI n))) (* k k))) (* (* (log n) (sqrt (* 2 (* PI n)))) (* k +nan.0))) (+ (- (* (* (* (log n) k) (* (log n) k)) (* (sqrt (* 2 (* PI n))) +nan.0)) (* (* (log (* PI 2)) +nan.0) (* k (sqrt (* 2 (* PI n)))))) (* (* (* 2 (* PI n)) (* (sqrt (* 2 (* PI n))) (* k k))) +nan.0))))))
  (+ (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (- +nan.0)) (* +nan.0 (- (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k))) (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k) (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* PI n))))) k)))))
  (- (- (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) +nan.0) (* +nan.0 (- (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) k) (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k k))))))
12.020 * * * [progress]: adding candidates to table
13.617 * * [progress]: iteration 3 / 4
13.617 * * * [progress]: picking best candidate
13.664 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
13.664 * * * [progress]: localizing error
13.717 * * * [progress]: generating rewritten candidates
13.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1)
13.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1)
13.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
13.791 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
13.908 * * * [progress]: generating series expansions
13.908 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1)
13.908 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
13.908 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
13.908 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
13.908 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
13.908 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
13.908 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.908 * [taylor]: Taking taylor expansion of 1/2 in k
13.908 * [backup-simplify]: Simplify 1/2 into 1/2
13.908 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.908 * [taylor]: Taking taylor expansion of 1/2 in k
13.908 * [backup-simplify]: Simplify 1/2 into 1/2
13.908 * [taylor]: Taking taylor expansion of k in k
13.908 * [backup-simplify]: Simplify 0 into 0
13.908 * [backup-simplify]: Simplify 1 into 1
13.908 * [taylor]: Taking taylor expansion of (log PI) in k
13.908 * [taylor]: Taking taylor expansion of PI in k
13.908 * [backup-simplify]: Simplify PI into PI
13.909 * [backup-simplify]: Simplify (log PI) into (log PI)
13.909 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.910 * [backup-simplify]: Simplify (- 0) into 0
13.910 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.911 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
13.912 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
13.912 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
13.912 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
13.912 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
13.912 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.912 * [taylor]: Taking taylor expansion of 1/2 in k
13.912 * [backup-simplify]: Simplify 1/2 into 1/2
13.912 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.912 * [taylor]: Taking taylor expansion of 1/2 in k
13.912 * [backup-simplify]: Simplify 1/2 into 1/2
13.912 * [taylor]: Taking taylor expansion of k in k
13.912 * [backup-simplify]: Simplify 0 into 0
13.912 * [backup-simplify]: Simplify 1 into 1
13.912 * [taylor]: Taking taylor expansion of (log PI) in k
13.912 * [taylor]: Taking taylor expansion of PI in k
13.912 * [backup-simplify]: Simplify PI into PI
13.912 * [backup-simplify]: Simplify (log PI) into (log PI)
13.913 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.913 * [backup-simplify]: Simplify (- 0) into 0
13.913 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.914 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
13.915 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
13.915 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
13.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
13.917 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.917 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.917 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
13.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
13.926 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
13.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
13.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
13.930 * [backup-simplify]: Simplify (- 0) into 0
13.931 * [backup-simplify]: Simplify (+ 0 0) into 0
13.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
13.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
13.949 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
13.956 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
13.957 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
13.957 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
13.957 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
13.957 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
13.957 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
13.957 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.957 * [taylor]: Taking taylor expansion of 1/2 in k
13.957 * [backup-simplify]: Simplify 1/2 into 1/2
13.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.957 * [taylor]: Taking taylor expansion of 1/2 in k
13.957 * [backup-simplify]: Simplify 1/2 into 1/2
13.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.957 * [taylor]: Taking taylor expansion of k in k
13.957 * [backup-simplify]: Simplify 0 into 0
13.957 * [backup-simplify]: Simplify 1 into 1
13.958 * [backup-simplify]: Simplify (/ 1 1) into 1
13.958 * [taylor]: Taking taylor expansion of (log PI) in k
13.958 * [taylor]: Taking taylor expansion of PI in k
13.958 * [backup-simplify]: Simplify PI into PI
13.958 * [backup-simplify]: Simplify (log PI) into (log PI)
13.959 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.959 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.960 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.961 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
13.961 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
13.961 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
13.961 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
13.961 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
13.962 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.962 * [taylor]: Taking taylor expansion of 1/2 in k
13.962 * [backup-simplify]: Simplify 1/2 into 1/2
13.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.962 * [taylor]: Taking taylor expansion of 1/2 in k
13.962 * [backup-simplify]: Simplify 1/2 into 1/2
13.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.962 * [taylor]: Taking taylor expansion of k in k
13.962 * [backup-simplify]: Simplify 0 into 0
13.962 * [backup-simplify]: Simplify 1 into 1
13.962 * [backup-simplify]: Simplify (/ 1 1) into 1
13.962 * [taylor]: Taking taylor expansion of (log PI) in k
13.962 * [taylor]: Taking taylor expansion of PI in k
13.962 * [backup-simplify]: Simplify PI into PI
13.963 * [backup-simplify]: Simplify (log PI) into (log PI)
13.963 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.964 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.964 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.966 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
13.966 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
13.966 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify 0 into 0
13.967 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
13.967 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
13.967 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
13.967 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.967 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
13.967 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
13.967 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.967 * [taylor]: Taking taylor expansion of 1/2 in k
13.967 * [backup-simplify]: Simplify 1/2 into 1/2
13.967 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.967 * [taylor]: Taking taylor expansion of k in k
13.967 * [backup-simplify]: Simplify 0 into 0
13.968 * [backup-simplify]: Simplify 1 into 1
13.968 * [backup-simplify]: Simplify (/ 1 1) into 1
13.968 * [taylor]: Taking taylor expansion of 1/2 in k
13.968 * [backup-simplify]: Simplify 1/2 into 1/2
13.968 * [taylor]: Taking taylor expansion of (log PI) in k
13.968 * [taylor]: Taking taylor expansion of PI in k
13.968 * [backup-simplify]: Simplify PI into PI
13.969 * [backup-simplify]: Simplify (log PI) into (log PI)
13.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.970 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.971 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
13.972 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
13.972 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.972 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
13.972 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
13.972 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.972 * [taylor]: Taking taylor expansion of 1/2 in k
13.972 * [backup-simplify]: Simplify 1/2 into 1/2
13.972 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.972 * [taylor]: Taking taylor expansion of k in k
13.972 * [backup-simplify]: Simplify 0 into 0
13.972 * [backup-simplify]: Simplify 1 into 1
13.972 * [backup-simplify]: Simplify (/ 1 1) into 1
13.972 * [taylor]: Taking taylor expansion of 1/2 in k
13.972 * [backup-simplify]: Simplify 1/2 into 1/2
13.972 * [taylor]: Taking taylor expansion of (log PI) in k
13.972 * [taylor]: Taking taylor expansion of PI in k
13.972 * [backup-simplify]: Simplify PI into PI
13.973 * [backup-simplify]: Simplify (log PI) into (log PI)
13.973 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.973 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.974 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
13.974 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
13.974 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
13.974 * [backup-simplify]: Simplify 0 into 0
13.974 * [backup-simplify]: Simplify 0 into 0
13.974 * [backup-simplify]: Simplify 0 into 0
13.974 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
13.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1)
13.975 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
13.975 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
13.975 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.975 * [taylor]: Taking taylor expansion of 2 in n
13.975 * [backup-simplify]: Simplify 2 into 2
13.975 * [taylor]: Taking taylor expansion of (* n PI) in n
13.975 * [taylor]: Taking taylor expansion of n in n
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 1 into 1
13.975 * [taylor]: Taking taylor expansion of PI in n
13.975 * [backup-simplify]: Simplify PI into PI
13.975 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.975 * [taylor]: Taking taylor expansion of 2 in n
13.975 * [backup-simplify]: Simplify 2 into 2
13.975 * [taylor]: Taking taylor expansion of (* n PI) in n
13.975 * [taylor]: Taking taylor expansion of n in n
13.975 * [backup-simplify]: Simplify 0 into 0
13.975 * [backup-simplify]: Simplify 1 into 1
13.975 * [taylor]: Taking taylor expansion of PI in n
13.975 * [backup-simplify]: Simplify PI into PI
13.975 * [backup-simplify]: Simplify (* 0 PI) into 0
13.976 * [backup-simplify]: Simplify (* 2 0) into 0
13.976 * [backup-simplify]: Simplify 0 into 0
13.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.978 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.978 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.979 * [backup-simplify]: Simplify 0 into 0
13.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.981 * [backup-simplify]: Simplify 0 into 0
13.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.983 * [backup-simplify]: Simplify 0 into 0
13.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.984 * [backup-simplify]: Simplify 0 into 0
13.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.987 * [backup-simplify]: Simplify 0 into 0
13.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.989 * [backup-simplify]: Simplify 0 into 0
13.989 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.989 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
13.989 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
13.989 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.989 * [taylor]: Taking taylor expansion of 2 in n
13.989 * [backup-simplify]: Simplify 2 into 2
13.989 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.989 * [taylor]: Taking taylor expansion of PI in n
13.989 * [backup-simplify]: Simplify PI into PI
13.989 * [taylor]: Taking taylor expansion of n in n
13.989 * [backup-simplify]: Simplify 0 into 0
13.989 * [backup-simplify]: Simplify 1 into 1
13.990 * [backup-simplify]: Simplify (/ PI 1) into PI
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
13.990 * [backup-simplify]: Simplify (/ PI 1) into PI
13.991 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.991 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.992 * [backup-simplify]: Simplify 0 into 0
13.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.993 * [backup-simplify]: Simplify 0 into 0
13.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.995 * [backup-simplify]: Simplify 0 into 0
13.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.996 * [backup-simplify]: Simplify 0 into 0
13.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.998 * [backup-simplify]: Simplify 0 into 0
13.999 * [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
14.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
14.000 * [backup-simplify]: Simplify 0 into 0
14.000 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
14.001 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
14.001 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
14.001 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.001 * [taylor]: Taking taylor expansion of -2 in n
14.001 * [backup-simplify]: Simplify -2 into -2
14.001 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.001 * [taylor]: Taking taylor expansion of PI in n
14.001 * [backup-simplify]: Simplify PI into PI
14.001 * [taylor]: Taking taylor expansion of n in n
14.001 * [backup-simplify]: Simplify 0 into 0
14.001 * [backup-simplify]: Simplify 1 into 1
14.001 * [backup-simplify]: Simplify (/ PI 1) into PI
14.001 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.001 * [taylor]: Taking taylor expansion of -2 in n
14.001 * [backup-simplify]: Simplify -2 into -2
14.002 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.002 * [taylor]: Taking taylor expansion of PI in n
14.002 * [backup-simplify]: Simplify PI into PI
14.002 * [taylor]: Taking taylor expansion of n in n
14.002 * [backup-simplify]: Simplify 0 into 0
14.002 * [backup-simplify]: Simplify 1 into 1
14.002 * [backup-simplify]: Simplify (/ PI 1) into PI
14.003 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.003 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.005 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.005 * [backup-simplify]: Simplify 0 into 0
14.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
14.007 * [backup-simplify]: Simplify 0 into 0
14.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.010 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.010 * [backup-simplify]: Simplify 0 into 0
14.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.013 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.013 * [backup-simplify]: Simplify 0 into 0
14.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.016 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
14.016 * [backup-simplify]: Simplify 0 into 0
14.017 * [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
14.019 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
14.019 * [backup-simplify]: Simplify 0 into 0
14.020 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
14.020 * * * * [progress]: [ 3 / 4 ] generating series at (2)
14.020 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) into (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k))
14.020 * [approximate]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k)) in (n k) around 0
14.021 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k)) in k
14.021 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k) in k
14.021 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) in k
14.021 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
14.021 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
14.021 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
14.021 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.021 * [taylor]: Taking taylor expansion of 1/2 in k
14.021 * [backup-simplify]: Simplify 1/2 into 1/2
14.021 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.021 * [taylor]: Taking taylor expansion of 1/2 in k
14.021 * [backup-simplify]: Simplify 1/2 into 1/2
14.021 * [taylor]: Taking taylor expansion of k in k
14.021 * [backup-simplify]: Simplify 0 into 0
14.021 * [backup-simplify]: Simplify 1 into 1
14.021 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
14.021 * [taylor]: Taking taylor expansion of (* 2 n) in k
14.021 * [taylor]: Taking taylor expansion of 2 in k
14.021 * [backup-simplify]: Simplify 2 into 2
14.021 * [taylor]: Taking taylor expansion of n in k
14.021 * [backup-simplify]: Simplify n into n
14.021 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
14.021 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
14.022 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.022 * [backup-simplify]: Simplify (- 0) into 0
14.023 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.023 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
14.023 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
14.023 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
14.023 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.023 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.023 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.023 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.023 * [taylor]: Taking taylor expansion of 1/2 in k
14.023 * [backup-simplify]: Simplify 1/2 into 1/2
14.023 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.023 * [taylor]: Taking taylor expansion of 1/2 in k
14.023 * [backup-simplify]: Simplify 1/2 into 1/2
14.023 * [taylor]: Taking taylor expansion of k in k
14.023 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify 1 into 1
14.023 * [taylor]: Taking taylor expansion of (log PI) in k
14.023 * [taylor]: Taking taylor expansion of PI in k
14.023 * [backup-simplify]: Simplify PI into PI
14.024 * [backup-simplify]: Simplify (log PI) into (log PI)
14.024 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.025 * [backup-simplify]: Simplify (- 0) into 0
14.025 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.026 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.028 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.028 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
14.029 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
14.029 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
14.029 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.029 * [taylor]: Taking taylor expansion of 1/2 in k
14.029 * [backup-simplify]: Simplify 1/2 into 1/2
14.029 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.029 * [taylor]: Taking taylor expansion of 1/2 in k
14.029 * [backup-simplify]: Simplify 1/2 into 1/2
14.029 * [taylor]: Taking taylor expansion of k in k
14.029 * [backup-simplify]: Simplify 0 into 0
14.029 * [backup-simplify]: Simplify 1 into 1
14.029 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
14.029 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
14.029 * [taylor]: Taking taylor expansion of 2 in k
14.029 * [backup-simplify]: Simplify 2 into 2
14.029 * [taylor]: Taking taylor expansion of (* n PI) in k
14.029 * [taylor]: Taking taylor expansion of n in k
14.029 * [backup-simplify]: Simplify n into n
14.029 * [taylor]: Taking taylor expansion of PI in k
14.029 * [backup-simplify]: Simplify PI into PI
14.029 * [backup-simplify]: Simplify (* n PI) into (* n PI)
14.029 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
14.029 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
14.030 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.030 * [backup-simplify]: Simplify (- 0) into 0
14.031 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.031 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
14.031 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
14.031 * [taylor]: Taking taylor expansion of k in k
14.032 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify 1 into 1
14.033 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow (* 2 (* n PI)) 1/2)) into (* (sqrt (* n 2)) PI)
14.033 * [backup-simplify]: Simplify (* (pow (* 2 n) 1/2) (* (sqrt (* n 2)) PI)) into (* (* PI (* (sqrt 2) n)) (sqrt 2))
14.034 * [backup-simplify]: Simplify (/ (* (* PI (* (sqrt 2) n)) (sqrt 2)) 1) into (* (pow (sqrt 2) 2) (* n PI))
14.035 * [backup-simplify]: Simplify (sqrt 0) into 0
14.041 * [backup-simplify]: Simplify (/ (* (pow (sqrt 2) 2) (* n PI)) (* 2 (sqrt 0))) into (* +nan.0 (* (pow (sqrt 2) 2) (* n PI)))
14.041 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k)) in n
14.041 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k) in n
14.041 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) in n
14.041 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
14.041 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
14.041 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
14.041 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.042 * [taylor]: Taking taylor expansion of 1/2 in n
14.042 * [backup-simplify]: Simplify 1/2 into 1/2
14.042 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.042 * [taylor]: Taking taylor expansion of 1/2 in n
14.042 * [backup-simplify]: Simplify 1/2 into 1/2
14.042 * [taylor]: Taking taylor expansion of k in n
14.042 * [backup-simplify]: Simplify k into k
14.042 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
14.042 * [taylor]: Taking taylor expansion of (* 2 n) in n
14.042 * [taylor]: Taking taylor expansion of 2 in n
14.042 * [backup-simplify]: Simplify 2 into 2
14.042 * [taylor]: Taking taylor expansion of n in n
14.042 * [backup-simplify]: Simplify 0 into 0
14.042 * [backup-simplify]: Simplify 1 into 1
14.042 * [backup-simplify]: Simplify (* 2 0) into 0
14.043 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
14.044 * [backup-simplify]: Simplify (log 2) into (log 2)
14.044 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.044 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.044 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.045 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.045 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
14.046 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
14.046 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
14.046 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
14.046 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
14.046 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
14.046 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.046 * [taylor]: Taking taylor expansion of 1/2 in n
14.046 * [backup-simplify]: Simplify 1/2 into 1/2
14.046 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.046 * [taylor]: Taking taylor expansion of 1/2 in n
14.046 * [backup-simplify]: Simplify 1/2 into 1/2
14.046 * [taylor]: Taking taylor expansion of k in n
14.046 * [backup-simplify]: Simplify k into k
14.046 * [taylor]: Taking taylor expansion of (log PI) in n
14.046 * [taylor]: Taking taylor expansion of PI in n
14.046 * [backup-simplify]: Simplify PI into PI
14.047 * [backup-simplify]: Simplify (log PI) into (log PI)
14.047 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.047 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.047 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.048 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
14.048 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
14.048 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
14.048 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
14.048 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
14.048 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.048 * [taylor]: Taking taylor expansion of 1/2 in n
14.048 * [backup-simplify]: Simplify 1/2 into 1/2
14.048 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.048 * [taylor]: Taking taylor expansion of 1/2 in n
14.049 * [backup-simplify]: Simplify 1/2 into 1/2
14.049 * [taylor]: Taking taylor expansion of k in n
14.049 * [backup-simplify]: Simplify k into k
14.049 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.049 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.049 * [taylor]: Taking taylor expansion of 2 in n
14.049 * [backup-simplify]: Simplify 2 into 2
14.049 * [taylor]: Taking taylor expansion of (* n PI) in n
14.049 * [taylor]: Taking taylor expansion of n in n
14.049 * [backup-simplify]: Simplify 0 into 0
14.049 * [backup-simplify]: Simplify 1 into 1
14.049 * [taylor]: Taking taylor expansion of PI in n
14.049 * [backup-simplify]: Simplify PI into PI
14.049 * [backup-simplify]: Simplify (* 0 PI) into 0
14.050 * [backup-simplify]: Simplify (* 2 0) into 0
14.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.053 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.054 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.054 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.055 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.055 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.057 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
14.059 * [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)))))
14.059 * [taylor]: Taking taylor expansion of k in n
14.059 * [backup-simplify]: Simplify k into k
14.060 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))
14.062 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))))
14.064 * [backup-simplify]: Simplify (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k) into (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)
14.066 * [backup-simplify]: Simplify (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)) into (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k))
14.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
14.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.072 * [backup-simplify]: Simplify (- 0) into 0
14.072 * [backup-simplify]: Simplify (+ 0 0) into 0
14.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.075 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
14.077 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.080 * [backup-simplify]: Simplify (- 0) into 0
14.080 * [backup-simplify]: Simplify (+ 0 0) into 0
14.081 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
14.082 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.083 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 k))) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
14.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
14.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.085 * [backup-simplify]: Simplify (- 0) into 0
14.085 * [backup-simplify]: Simplify (+ 0 0) into 0
14.085 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.086 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
14.087 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.088 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))))) into 0
14.089 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k) (/ 0 k)))) into 0
14.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)))) into 0
14.091 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k)) in n
14.091 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) k) in n
14.091 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))) in n
14.091 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
14.091 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
14.091 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
14.091 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.091 * [taylor]: Taking taylor expansion of 1/2 in n
14.091 * [backup-simplify]: Simplify 1/2 into 1/2
14.091 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.091 * [taylor]: Taking taylor expansion of 1/2 in n
14.091 * [backup-simplify]: Simplify 1/2 into 1/2
14.091 * [taylor]: Taking taylor expansion of k in n
14.091 * [backup-simplify]: Simplify k into k
14.091 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
14.091 * [taylor]: Taking taylor expansion of (* 2 n) in n
14.091 * [taylor]: Taking taylor expansion of 2 in n
14.091 * [backup-simplify]: Simplify 2 into 2
14.091 * [taylor]: Taking taylor expansion of n in n
14.091 * [backup-simplify]: Simplify 0 into 0
14.091 * [backup-simplify]: Simplify 1 into 1
14.091 * [backup-simplify]: Simplify (* 2 0) into 0
14.092 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
14.092 * [backup-simplify]: Simplify (log 2) into (log 2)
14.092 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.092 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.092 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.093 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
14.093 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
14.093 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
14.093 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
14.093 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
14.093 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
14.093 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.093 * [taylor]: Taking taylor expansion of 1/2 in n
14.093 * [backup-simplify]: Simplify 1/2 into 1/2
14.093 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.093 * [taylor]: Taking taylor expansion of 1/2 in n
14.093 * [backup-simplify]: Simplify 1/2 into 1/2
14.093 * [taylor]: Taking taylor expansion of k in n
14.093 * [backup-simplify]: Simplify k into k
14.093 * [taylor]: Taking taylor expansion of (log PI) in n
14.093 * [taylor]: Taking taylor expansion of PI in n
14.093 * [backup-simplify]: Simplify PI into PI
14.094 * [backup-simplify]: Simplify (log PI) into (log PI)
14.094 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.094 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.094 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.094 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
14.095 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
14.095 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
14.095 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
14.095 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
14.095 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.095 * [taylor]: Taking taylor expansion of 1/2 in n
14.095 * [backup-simplify]: Simplify 1/2 into 1/2
14.095 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.095 * [taylor]: Taking taylor expansion of 1/2 in n
14.095 * [backup-simplify]: Simplify 1/2 into 1/2
14.095 * [taylor]: Taking taylor expansion of k in n
14.095 * [backup-simplify]: Simplify k into k
14.095 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.095 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.095 * [taylor]: Taking taylor expansion of 2 in n
14.095 * [backup-simplify]: Simplify 2 into 2
14.095 * [taylor]: Taking taylor expansion of (* n PI) in n
14.095 * [taylor]: Taking taylor expansion of n in n
14.095 * [backup-simplify]: Simplify 0 into 0
14.095 * [backup-simplify]: Simplify 1 into 1
14.095 * [taylor]: Taking taylor expansion of PI in n
14.095 * [backup-simplify]: Simplify PI into PI
14.095 * [backup-simplify]: Simplify (* 0 PI) into 0
14.095 * [backup-simplify]: Simplify (* 2 0) into 0
14.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.097 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.098 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.098 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.098 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.098 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.100 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
14.101 * [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)))))
14.101 * [taylor]: Taking taylor expansion of k in n
14.101 * [backup-simplify]: Simplify k into k
14.102 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))
14.103 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))))
14.104 * [backup-simplify]: Simplify (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k) into (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)
14.105 * [backup-simplify]: Simplify (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)) into (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k))
14.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
14.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.109 * [backup-simplify]: Simplify (- 0) into 0
14.109 * [backup-simplify]: Simplify (+ 0 0) into 0
14.111 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.112 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
14.114 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.117 * [backup-simplify]: Simplify (- 0) into 0
14.117 * [backup-simplify]: Simplify (+ 0 0) into 0
14.118 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
14.119 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.120 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 k))) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
14.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
14.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.124 * [backup-simplify]: Simplify (- 0) into 0
14.124 * [backup-simplify]: Simplify (+ 0 0) into 0
14.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.126 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
14.127 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.129 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))))) into 0
14.131 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k) (/ 0 k)))) into 0
14.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k)))) into 0
14.133 * [taylor]: Taking taylor expansion of (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k)) in k
14.134 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k) in k
14.134 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) in k
14.134 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
14.134 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
14.134 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
14.134 * [taylor]: Taking taylor expansion of (log 2) in k
14.134 * [taylor]: Taking taylor expansion of 2 in k
14.134 * [backup-simplify]: Simplify 2 into 2
14.134 * [backup-simplify]: Simplify (log 2) into (log 2)
14.134 * [taylor]: Taking taylor expansion of (log n) in k
14.134 * [taylor]: Taking taylor expansion of n in k
14.134 * [backup-simplify]: Simplify n into n
14.134 * [backup-simplify]: Simplify (log n) into (log n)
14.134 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.134 * [taylor]: Taking taylor expansion of 1/2 in k
14.134 * [backup-simplify]: Simplify 1/2 into 1/2
14.135 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.135 * [taylor]: Taking taylor expansion of 1/2 in k
14.135 * [backup-simplify]: Simplify 1/2 into 1/2
14.135 * [taylor]: Taking taylor expansion of k in k
14.135 * [backup-simplify]: Simplify 0 into 0
14.135 * [backup-simplify]: Simplify 1 into 1
14.135 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
14.136 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.136 * [backup-simplify]: Simplify (- 0) into 0
14.137 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.137 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
14.138 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
14.138 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))) in k
14.138 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
14.138 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
14.138 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.138 * [taylor]: Taking taylor expansion of 1/2 in k
14.138 * [backup-simplify]: Simplify 1/2 into 1/2
14.138 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.138 * [taylor]: Taking taylor expansion of 1/2 in k
14.138 * [backup-simplify]: Simplify 1/2 into 1/2
14.138 * [taylor]: Taking taylor expansion of k in k
14.138 * [backup-simplify]: Simplify 0 into 0
14.138 * [backup-simplify]: Simplify 1 into 1
14.138 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
14.138 * [taylor]: Taking taylor expansion of (log n) in k
14.138 * [taylor]: Taking taylor expansion of n in k
14.138 * [backup-simplify]: Simplify n into n
14.138 * [backup-simplify]: Simplify (log n) into (log n)
14.138 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
14.138 * [taylor]: Taking taylor expansion of (* 2 PI) in k
14.138 * [taylor]: Taking taylor expansion of 2 in k
14.138 * [backup-simplify]: Simplify 2 into 2
14.138 * [taylor]: Taking taylor expansion of PI in k
14.138 * [backup-simplify]: Simplify PI into PI
14.139 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.140 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.141 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.141 * [backup-simplify]: Simplify (- 0) into 0
14.142 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.143 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.144 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
14.145 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
14.145 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.145 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.146 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.146 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.146 * [taylor]: Taking taylor expansion of 1/2 in k
14.146 * [backup-simplify]: Simplify 1/2 into 1/2
14.146 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.146 * [taylor]: Taking taylor expansion of 1/2 in k
14.146 * [backup-simplify]: Simplify 1/2 into 1/2
14.146 * [taylor]: Taking taylor expansion of k in k
14.146 * [backup-simplify]: Simplify 0 into 0
14.146 * [backup-simplify]: Simplify 1 into 1
14.146 * [taylor]: Taking taylor expansion of (log PI) in k
14.146 * [taylor]: Taking taylor expansion of PI in k
14.146 * [backup-simplify]: Simplify PI into PI
14.146 * [backup-simplify]: Simplify (log PI) into (log PI)
14.147 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.147 * [backup-simplify]: Simplify (- 0) into 0
14.147 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.148 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.151 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.151 * [taylor]: Taking taylor expansion of k in k
14.151 * [backup-simplify]: Simplify 0 into 0
14.151 * [backup-simplify]: Simplify 1 into 1
14.152 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow PI 1/2)) into (* (sqrt PI) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
14.154 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (* (sqrt PI) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
14.156 * [backup-simplify]: Simplify (/ (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1) into (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
14.156 * [backup-simplify]: Simplify (sqrt 0) into 0
14.159 * [backup-simplify]: Simplify (/ (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [taylor]: Taking taylor expansion of 0 in k
14.159 * [backup-simplify]: Simplify 0 into 0
14.161 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
14.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
14.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
14.167 * [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
14.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
14.169 * [backup-simplify]: Simplify (- 0) into 0
14.169 * [backup-simplify]: Simplify (+ 0 0) into 0
14.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.172 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
14.179 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
14.184 * [backup-simplify]: Simplify (- 0) into 0
14.184 * [backup-simplify]: Simplify (+ 0 0) into 0
14.186 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
14.188 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.189 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
14.191 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
14.195 * [backup-simplify]: Simplify (- 0) into 0
14.196 * [backup-simplify]: Simplify (+ 0 0) into 0
14.196 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.197 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
14.200 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.202 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))))) into 0
14.204 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.207 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k)))) into 0
14.207 * [taylor]: Taking taylor expansion of 0 in k
14.207 * [backup-simplify]: Simplify 0 into 0
14.207 * [backup-simplify]: Simplify 0 into 0
14.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.210 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.210 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.211 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
14.224 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
14.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.226 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.228 * [backup-simplify]: Simplify (+ 0 0) into 0
14.229 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.229 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.230 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
14.235 * [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)))))))
14.242 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* 1/2 (* (sqrt PI) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))
14.243 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.244 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.244 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.247 * [backup-simplify]: Simplify (+ 0 0) into 0
14.248 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
14.250 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
14.262 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (- (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* 1/2 (* (sqrt PI) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* (sqrt PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (- (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
14.276 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1) (+ (* (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (/ 0 1)))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI)))))))
14.290 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI))))))) (pow (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI))))))
14.304 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))))) into (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI)))))) (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))))
14.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
14.314 * [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
14.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
14.316 * [backup-simplify]: Simplify (- 0) into 0
14.317 * [backup-simplify]: Simplify (+ 0 0) into 0
14.318 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.321 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
14.324 * [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
14.333 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
14.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
14.335 * [backup-simplify]: Simplify (- 0) into 0
14.335 * [backup-simplify]: Simplify (+ 0 0) into 0
14.336 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
14.337 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.339 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
14.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
14.342 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
14.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
14.344 * [backup-simplify]: Simplify (- 0) into 0
14.344 * [backup-simplify]: Simplify (+ 0 0) into 0
14.344 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.345 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
14.346 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.348 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k)))))))) into 0
14.350 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow PI (- 1/2 (* 1/2 k))))) k)))) into 0
14.351 * [taylor]: Taking taylor expansion of 0 in k
14.351 * [backup-simplify]: Simplify 0 into 0
14.351 * [backup-simplify]: Simplify 0 into 0
14.351 * [backup-simplify]: Simplify 0 into 0
14.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.354 * [backup-simplify]: Simplify (- 0) into 0
14.354 * [backup-simplify]: Simplify (+ 0 0) into 0
14.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
14.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
14.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
14.374 * [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
14.375 * [backup-simplify]: Simplify (+ 0 0) into 0
14.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.376 * [backup-simplify]: Simplify (- 0) into 0
14.377 * [backup-simplify]: Simplify (+ 0 0) into 0
14.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
14.384 * [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)))))
14.400 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (sqrt PI) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (+ (* 1/4 (* (sqrt PI) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (sqrt PI) (* (pow (log PI) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)) (sqrt PI))) (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))) (sqrt PI))))))))
14.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.401 * [backup-simplify]: Simplify (- 0) into 0
14.401 * [backup-simplify]: Simplify (+ 0 0) into 0
14.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.404 * [backup-simplify]: Simplify (+ 0 0) into 0
14.405 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
14.406 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
14.428 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/4 (* (sqrt PI) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (+ (* 1/4 (* (sqrt PI) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (sqrt PI) (* (pow (log PI) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)) (sqrt PI))) (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))) (sqrt PI))))))))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (- (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* 1/2 (* (sqrt PI) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* (sqrt PI) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI))))))))))))))
14.471 * [backup-simplify]: Simplify (- (/ (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) 1) (+ (* (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (/ 0 1)) (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI))))))) (/ 0 1)))) into (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI))))))))))))))
14.517 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) (+ (* 2 (* (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* +nan.0 (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (sqrt PI)) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) (- (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))))))))))))))
14.567 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) (- (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))))))))))))))) into (* +nan.0 (- (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) (- (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))))))))))))))
14.622 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log (* 2 PI))))) (sqrt PI))) (+ (* 3/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))))) (+ (* 1/8 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))) (+ (* 1/2 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/4 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (sqrt PI)))))))))))))) (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) PI)))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3)))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) (- (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (sqrt PI))) (+ (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (sqrt PI)))))) (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))))) (* k 1)) (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt PI) (* k (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* PI (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))))) (- (* +nan.0 (* PI (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))))))))))))))))))))))))))))))))))))))))))))))))))
14.624 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) 1) (/ (sqrt (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2))))))) into (sqrt (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))))
14.624 * [approximate]: Taking taylor expansion of (sqrt (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) in (n k) around 0
14.624 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) in k
14.624 * [taylor]: Taking taylor expansion of (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in k
14.624 * [taylor]: Taking taylor expansion of k in k
14.624 * [backup-simplify]: Simplify 0 into 0
14.624 * [backup-simplify]: Simplify 1 into 1
14.624 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in k
14.624 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.624 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.624 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.624 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.624 * [taylor]: Taking taylor expansion of 1/2 in k
14.624 * [backup-simplify]: Simplify 1/2 into 1/2
14.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.624 * [taylor]: Taking taylor expansion of 1/2 in k
14.624 * [backup-simplify]: Simplify 1/2 into 1/2
14.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.624 * [taylor]: Taking taylor expansion of k in k
14.624 * [backup-simplify]: Simplify 0 into 0
14.624 * [backup-simplify]: Simplify 1 into 1
14.625 * [backup-simplify]: Simplify (/ 1 1) into 1
14.625 * [taylor]: Taking taylor expansion of (log PI) in k
14.625 * [taylor]: Taking taylor expansion of PI in k
14.625 * [backup-simplify]: Simplify PI into PI
14.626 * [backup-simplify]: Simplify (log PI) into (log PI)
14.626 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.627 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.627 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.628 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.629 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.629 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
14.629 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
14.629 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
14.629 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
14.629 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.629 * [taylor]: Taking taylor expansion of 1/2 in k
14.629 * [backup-simplify]: Simplify 1/2 into 1/2
14.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.629 * [taylor]: Taking taylor expansion of 1/2 in k
14.629 * [backup-simplify]: Simplify 1/2 into 1/2
14.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.629 * [taylor]: Taking taylor expansion of k in k
14.629 * [backup-simplify]: Simplify 0 into 0
14.629 * [backup-simplify]: Simplify 1 into 1
14.629 * [backup-simplify]: Simplify (/ 1 1) into 1
14.629 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
14.629 * [taylor]: Taking taylor expansion of (/ 2 n) in k
14.629 * [taylor]: Taking taylor expansion of 2 in k
14.629 * [backup-simplify]: Simplify 2 into 2
14.630 * [taylor]: Taking taylor expansion of n in k
14.630 * [backup-simplify]: Simplify n into n
14.630 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
14.630 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
14.630 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.630 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.631 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.631 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
14.631 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
14.631 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
14.631 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
14.631 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
14.631 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.631 * [taylor]: Taking taylor expansion of 1/2 in k
14.631 * [backup-simplify]: Simplify 1/2 into 1/2
14.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.631 * [taylor]: Taking taylor expansion of 1/2 in k
14.631 * [backup-simplify]: Simplify 1/2 into 1/2
14.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.631 * [taylor]: Taking taylor expansion of k in k
14.632 * [backup-simplify]: Simplify 0 into 0
14.632 * [backup-simplify]: Simplify 1 into 1
14.632 * [backup-simplify]: Simplify (/ 1 1) into 1
14.632 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
14.632 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
14.632 * [taylor]: Taking taylor expansion of 2 in k
14.632 * [backup-simplify]: Simplify 2 into 2
14.632 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.632 * [taylor]: Taking taylor expansion of PI in k
14.632 * [backup-simplify]: Simplify PI into PI
14.632 * [taylor]: Taking taylor expansion of n in k
14.632 * [backup-simplify]: Simplify n into n
14.632 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.632 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
14.632 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
14.633 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.633 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.634 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.634 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
14.634 * [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))))
14.634 * [backup-simplify]: Simplify (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
14.635 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
14.635 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
14.635 * [backup-simplify]: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
14.636 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
14.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
14.637 * [backup-simplify]: Simplify (sqrt 0) into 0
14.638 * [backup-simplify]: Simplify (/ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 2 (sqrt 0))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
14.638 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) in n
14.638 * [taylor]: Taking taylor expansion of (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
14.638 * [taylor]: Taking taylor expansion of k in n
14.638 * [backup-simplify]: Simplify k into k
14.638 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
14.638 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
14.638 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
14.638 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
14.638 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.638 * [taylor]: Taking taylor expansion of 1/2 in n
14.638 * [backup-simplify]: Simplify 1/2 into 1/2
14.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.638 * [taylor]: Taking taylor expansion of 1/2 in n
14.638 * [backup-simplify]: Simplify 1/2 into 1/2
14.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.639 * [taylor]: Taking taylor expansion of k in n
14.639 * [backup-simplify]: Simplify k into k
14.639 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.639 * [taylor]: Taking taylor expansion of (log PI) in n
14.639 * [taylor]: Taking taylor expansion of PI in n
14.639 * [backup-simplify]: Simplify PI into PI
14.639 * [backup-simplify]: Simplify (log PI) into (log PI)
14.639 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.639 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.639 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.640 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
14.640 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.641 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
14.641 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.641 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
14.641 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
14.641 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.641 * [taylor]: Taking taylor expansion of 1/2 in n
14.641 * [backup-simplify]: Simplify 1/2 into 1/2
14.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.641 * [taylor]: Taking taylor expansion of 1/2 in n
14.641 * [backup-simplify]: Simplify 1/2 into 1/2
14.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.641 * [taylor]: Taking taylor expansion of k in n
14.641 * [backup-simplify]: Simplify k into k
14.641 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.641 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
14.641 * [taylor]: Taking taylor expansion of (/ 2 n) in n
14.641 * [taylor]: Taking taylor expansion of 2 in n
14.641 * [backup-simplify]: Simplify 2 into 2
14.641 * [taylor]: Taking taylor expansion of n in n
14.641 * [backup-simplify]: Simplify 0 into 0
14.641 * [backup-simplify]: Simplify 1 into 1
14.642 * [backup-simplify]: Simplify (/ 2 1) into 2
14.642 * [backup-simplify]: Simplify (log 2) into (log 2)
14.642 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.642 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.642 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.644 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
14.644 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.644 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.644 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
14.644 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
14.644 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.644 * [taylor]: Taking taylor expansion of 1/2 in n
14.644 * [backup-simplify]: Simplify 1/2 into 1/2
14.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.644 * [taylor]: Taking taylor expansion of 1/2 in n
14.644 * [backup-simplify]: Simplify 1/2 into 1/2
14.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.644 * [taylor]: Taking taylor expansion of k in n
14.644 * [backup-simplify]: Simplify k into k
14.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.644 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.644 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.644 * [taylor]: Taking taylor expansion of 2 in n
14.644 * [backup-simplify]: Simplify 2 into 2
14.644 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.644 * [taylor]: Taking taylor expansion of PI in n
14.644 * [backup-simplify]: Simplify PI into PI
14.644 * [taylor]: Taking taylor expansion of n in n
14.644 * [backup-simplify]: Simplify 0 into 0
14.644 * [backup-simplify]: Simplify 1 into 1
14.645 * [backup-simplify]: Simplify (/ PI 1) into PI
14.645 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.646 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.646 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.646 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.646 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.647 * [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)))
14.648 * [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))))
14.649 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (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)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
14.650 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
14.651 * [backup-simplify]: Simplify (* k (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))
14.653 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))))
14.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.656 * [backup-simplify]: Simplify (- 0) into 0
14.657 * [backup-simplify]: Simplify (+ 0 0) into 0
14.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.658 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
14.660 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
14.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.662 * [backup-simplify]: Simplify (- 0) into 0
14.662 * [backup-simplify]: Simplify (+ 0 0) into 0
14.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.663 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
14.664 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.665 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
14.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.666 * [backup-simplify]: Simplify (- 0) into 0
14.666 * [backup-simplify]: Simplify (+ 0 0) into 0
14.667 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
14.668 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.669 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
14.670 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
14.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))))) into 0
14.671 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) in n
14.671 * [taylor]: Taking taylor expansion of (* k (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
14.671 * [taylor]: Taking taylor expansion of k in n
14.671 * [backup-simplify]: Simplify k into k
14.671 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
14.671 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
14.671 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
14.671 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
14.671 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.671 * [taylor]: Taking taylor expansion of 1/2 in n
14.671 * [backup-simplify]: Simplify 1/2 into 1/2
14.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.671 * [taylor]: Taking taylor expansion of 1/2 in n
14.671 * [backup-simplify]: Simplify 1/2 into 1/2
14.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.671 * [taylor]: Taking taylor expansion of k in n
14.671 * [backup-simplify]: Simplify k into k
14.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.671 * [taylor]: Taking taylor expansion of (log PI) in n
14.671 * [taylor]: Taking taylor expansion of PI in n
14.671 * [backup-simplify]: Simplify PI into PI
14.672 * [backup-simplify]: Simplify (log PI) into (log PI)
14.672 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.672 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.672 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.672 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
14.673 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.673 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
14.673 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.673 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
14.673 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
14.673 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.673 * [taylor]: Taking taylor expansion of 1/2 in n
14.673 * [backup-simplify]: Simplify 1/2 into 1/2
14.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.673 * [taylor]: Taking taylor expansion of 1/2 in n
14.673 * [backup-simplify]: Simplify 1/2 into 1/2
14.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.673 * [taylor]: Taking taylor expansion of k in n
14.673 * [backup-simplify]: Simplify k into k
14.673 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.673 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
14.673 * [taylor]: Taking taylor expansion of (/ 2 n) in n
14.673 * [taylor]: Taking taylor expansion of 2 in n
14.673 * [backup-simplify]: Simplify 2 into 2
14.674 * [taylor]: Taking taylor expansion of n in n
14.674 * [backup-simplify]: Simplify 0 into 0
14.674 * [backup-simplify]: Simplify 1 into 1
14.674 * [backup-simplify]: Simplify (/ 2 1) into 2
14.674 * [backup-simplify]: Simplify (log 2) into (log 2)
14.674 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.675 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.675 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.676 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
14.676 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.676 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.676 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
14.677 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
14.677 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.677 * [taylor]: Taking taylor expansion of 1/2 in n
14.677 * [backup-simplify]: Simplify 1/2 into 1/2
14.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.677 * [taylor]: Taking taylor expansion of 1/2 in n
14.677 * [backup-simplify]: Simplify 1/2 into 1/2
14.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.677 * [taylor]: Taking taylor expansion of k in n
14.677 * [backup-simplify]: Simplify k into k
14.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.677 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.677 * [taylor]: Taking taylor expansion of 2 in n
14.677 * [backup-simplify]: Simplify 2 into 2
14.677 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.677 * [taylor]: Taking taylor expansion of PI in n
14.677 * [backup-simplify]: Simplify PI into PI
14.677 * [taylor]: Taking taylor expansion of n in n
14.677 * [backup-simplify]: Simplify 0 into 0
14.677 * [backup-simplify]: Simplify 1 into 1
14.678 * [backup-simplify]: Simplify (/ PI 1) into PI
14.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.679 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.679 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.679 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.679 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.682 * [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)))
14.683 * [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))))
14.685 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (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)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
14.686 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
14.688 * [backup-simplify]: Simplify (* k (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))
14.690 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))))
14.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.692 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.695 * [backup-simplify]: Simplify (- 0) into 0
14.695 * [backup-simplify]: Simplify (+ 0 0) into 0
14.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.698 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
14.699 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
14.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.703 * [backup-simplify]: Simplify (- 0) into 0
14.703 * [backup-simplify]: Simplify (+ 0 0) into 0
14.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.704 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
14.706 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.707 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
14.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.710 * [backup-simplify]: Simplify (- 0) into 0
14.710 * [backup-simplify]: Simplify (+ 0 0) into 0
14.711 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
14.712 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.714 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
14.716 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
14.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))))) into 0
14.718 * [taylor]: Taking taylor expansion of (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))) in k
14.718 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))) in k
14.718 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
14.718 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
14.718 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.718 * [taylor]: Taking taylor expansion of 1/2 in k
14.718 * [backup-simplify]: Simplify 1/2 into 1/2
14.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.718 * [taylor]: Taking taylor expansion of 1/2 in k
14.718 * [backup-simplify]: Simplify 1/2 into 1/2
14.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.718 * [taylor]: Taking taylor expansion of k in k
14.718 * [backup-simplify]: Simplify 0 into 0
14.718 * [backup-simplify]: Simplify 1 into 1
14.719 * [backup-simplify]: Simplify (/ 1 1) into 1
14.719 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
14.719 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
14.719 * [taylor]: Taking taylor expansion of (* 2 PI) in k
14.719 * [taylor]: Taking taylor expansion of 2 in k
14.719 * [backup-simplify]: Simplify 2 into 2
14.719 * [taylor]: Taking taylor expansion of PI in k
14.719 * [backup-simplify]: Simplify PI into PI
14.719 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.720 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.720 * [taylor]: Taking taylor expansion of (log n) in k
14.720 * [taylor]: Taking taylor expansion of n in k
14.720 * [backup-simplify]: Simplify n into n
14.720 * [backup-simplify]: Simplify (log n) into (log n)
14.721 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.721 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.722 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.722 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.723 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
14.724 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
14.725 * [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))))
14.725 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)) in k
14.725 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.725 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.725 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.725 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.725 * [taylor]: Taking taylor expansion of 1/2 in k
14.725 * [backup-simplify]: Simplify 1/2 into 1/2
14.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.725 * [taylor]: Taking taylor expansion of 1/2 in k
14.725 * [backup-simplify]: Simplify 1/2 into 1/2
14.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.725 * [taylor]: Taking taylor expansion of k in k
14.725 * [backup-simplify]: Simplify 0 into 0
14.725 * [backup-simplify]: Simplify 1 into 1
14.726 * [backup-simplify]: Simplify (/ 1 1) into 1
14.726 * [taylor]: Taking taylor expansion of (log PI) in k
14.726 * [taylor]: Taking taylor expansion of PI in k
14.726 * [backup-simplify]: Simplify PI into PI
14.726 * [backup-simplify]: Simplify (log PI) into (log PI)
14.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.727 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.727 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.728 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.729 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.729 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k) in k
14.729 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
14.729 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
14.729 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.729 * [taylor]: Taking taylor expansion of 1/2 in k
14.729 * [backup-simplify]: Simplify 1/2 into 1/2
14.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.729 * [taylor]: Taking taylor expansion of 1/2 in k
14.729 * [backup-simplify]: Simplify 1/2 into 1/2
14.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.729 * [taylor]: Taking taylor expansion of k in k
14.729 * [backup-simplify]: Simplify 0 into 0
14.729 * [backup-simplify]: Simplify 1 into 1
14.730 * [backup-simplify]: Simplify (/ 1 1) into 1
14.730 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
14.730 * [taylor]: Taking taylor expansion of (log 2) in k
14.730 * [taylor]: Taking taylor expansion of 2 in k
14.730 * [backup-simplify]: Simplify 2 into 2
14.730 * [backup-simplify]: Simplify (log 2) into (log 2)
14.730 * [taylor]: Taking taylor expansion of (log n) in k
14.730 * [taylor]: Taking taylor expansion of n in k
14.730 * [backup-simplify]: Simplify n into n
14.730 * [backup-simplify]: Simplify (log n) into (log n)
14.731 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.731 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.732 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.732 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.732 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
14.732 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
14.733 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.733 * [taylor]: Taking taylor expansion of k in k
14.733 * [backup-simplify]: Simplify 0 into 0
14.733 * [backup-simplify]: Simplify 1 into 1
14.734 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) into 0
14.734 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
14.735 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
14.736 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1) (* 0 0)) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.737 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0)) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
14.742 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (* 0 0)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
14.743 * [backup-simplify]: Simplify (sqrt 0) into 0
14.744 * [backup-simplify]: Simplify (/ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (* 2 (sqrt 0))) into (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [taylor]: Taking taylor expansion of 0 in k
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [backup-simplify]: Simplify 0 into 0
14.746 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
14.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
14.749 * [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
14.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.750 * [backup-simplify]: Simplify (- 0) into 0
14.751 * [backup-simplify]: Simplify (+ 0 0) into 0
14.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.752 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
14.754 * [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
14.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.757 * [backup-simplify]: Simplify (- 0) into 0
14.757 * [backup-simplify]: Simplify (+ 0 0) into 0
14.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.758 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
14.759 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.760 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
14.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.763 * [backup-simplify]: Simplify (- 0) into 0
14.763 * [backup-simplify]: Simplify (+ 0 0) into 0
14.764 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
14.765 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.766 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
14.768 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0
14.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))))) into 0
14.769 * [taylor]: Taking taylor expansion of 0 in k
14.769 * [backup-simplify]: Simplify 0 into 0
14.769 * [backup-simplify]: Simplify 0 into 0
14.770 * [backup-simplify]: Simplify 0 into 0
14.770 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 1) (* 0 0))) into 0
14.771 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0))) into 0
14.772 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (* 0 0))) into 0
14.775 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))))
14.777 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)))) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))))
14.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.785 * [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
14.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.787 * [backup-simplify]: Simplify (- 0) into 0
14.788 * [backup-simplify]: Simplify (+ 0 0) into 0
14.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.791 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
14.793 * [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
14.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.798 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
14.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.800 * [backup-simplify]: Simplify (- 0) into 0
14.800 * [backup-simplify]: Simplify (+ 0 0) into 0
14.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.802 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
14.804 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.806 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
14.813 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
14.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.815 * [backup-simplify]: Simplify (- 0) into 0
14.815 * [backup-simplify]: Simplify (+ 0 0) into 0
14.816 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
14.818 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.821 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0
14.824 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))) into 0
14.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k)))))) into 0
14.826 * [taylor]: Taking taylor expansion of 0 in k
14.827 * [backup-simplify]: Simplify 0 into 0
14.827 * [backup-simplify]: Simplify 0 into 0
14.827 * [backup-simplify]: Simplify 0 into 0
14.827 * [backup-simplify]: Simplify 0 into 0
14.828 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.829 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0)))) into 0
14.832 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (+ (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (* 0 0)))) into 0
14.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)))))))) (* 2 0)) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3))))
14.840 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3)))) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3))))
14.847 * [backup-simplify]: Simplify (+ (* (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 3)))) (pow (* (/ 1 k) 1) 3)) (+ (* (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (* (pow (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 2)))) (pow (* (/ 1 k) 1) 2)) (* (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) k)) (- (+ (* +nan.0 (/ (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2))) (pow k 2))) (- (* +nan.0 (/ (* (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (pow PI (- 1/2 (* 1/2 k))) 3))) (pow k 3))))))))
14.848 * [backup-simplify]: Simplify (* (/ (sqrt (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) 1) (/ (sqrt (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
14.848 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in (n k) around 0
14.848 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in k
14.848 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
14.848 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.848 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.848 * [taylor]: Taking taylor expansion of -1 in k
14.848 * [backup-simplify]: Simplify -1 into -1
14.848 * [taylor]: Taking taylor expansion of k in k
14.848 * [backup-simplify]: Simplify 0 into 0
14.848 * [backup-simplify]: Simplify 1 into 1
14.849 * [backup-simplify]: Simplify (/ -1 1) into -1
14.849 * [backup-simplify]: Simplify (sqrt 0) into 0
14.851 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.851 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
14.851 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k
14.851 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
14.851 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.851 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
14.851 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
14.851 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.851 * [taylor]: Taking taylor expansion of 1/2 in k
14.851 * [backup-simplify]: Simplify 1/2 into 1/2
14.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.851 * [taylor]: Taking taylor expansion of k in k
14.851 * [backup-simplify]: Simplify 0 into 0
14.851 * [backup-simplify]: Simplify 1 into 1
14.852 * [backup-simplify]: Simplify (/ 1 1) into 1
14.852 * [taylor]: Taking taylor expansion of 1/2 in k
14.852 * [backup-simplify]: Simplify 1/2 into 1/2
14.852 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
14.852 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
14.852 * [taylor]: Taking taylor expansion of -2 in k
14.852 * [backup-simplify]: Simplify -2 into -2
14.852 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.852 * [taylor]: Taking taylor expansion of PI in k
14.852 * [backup-simplify]: Simplify PI into PI
14.852 * [taylor]: Taking taylor expansion of n in k
14.852 * [backup-simplify]: Simplify n into n
14.852 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.852 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
14.852 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
14.852 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.853 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.853 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.853 * [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)))
14.853 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
14.853 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.853 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
14.853 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
14.853 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.853 * [taylor]: Taking taylor expansion of 1/2 in k
14.853 * [backup-simplify]: Simplify 1/2 into 1/2
14.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.853 * [taylor]: Taking taylor expansion of k in k
14.853 * [backup-simplify]: Simplify 0 into 0
14.853 * [backup-simplify]: Simplify 1 into 1
14.853 * [backup-simplify]: Simplify (/ 1 1) into 1
14.853 * [taylor]: Taking taylor expansion of 1/2 in k
14.853 * [backup-simplify]: Simplify 1/2 into 1/2
14.853 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
14.853 * [taylor]: Taking taylor expansion of (/ -2 n) in k
14.853 * [taylor]: Taking taylor expansion of -2 in k
14.853 * [backup-simplify]: Simplify -2 into -2
14.853 * [taylor]: Taking taylor expansion of n in k
14.853 * [backup-simplify]: Simplify n into n
14.853 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
14.853 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
14.854 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.854 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.854 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
14.854 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
14.854 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.854 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.854 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.854 * [taylor]: Taking taylor expansion of 1/2 in k
14.854 * [backup-simplify]: Simplify 1/2 into 1/2
14.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.854 * [taylor]: Taking taylor expansion of k in k
14.854 * [backup-simplify]: Simplify 0 into 0
14.854 * [backup-simplify]: Simplify 1 into 1
14.855 * [backup-simplify]: Simplify (/ 1 1) into 1
14.855 * [taylor]: Taking taylor expansion of 1/2 in k
14.855 * [backup-simplify]: Simplify 1/2 into 1/2
14.855 * [taylor]: Taking taylor expansion of (log PI) in k
14.855 * [taylor]: Taking taylor expansion of PI in k
14.855 * [backup-simplify]: Simplify PI into PI
14.855 * [backup-simplify]: Simplify (log PI) into (log PI)
14.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.855 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.856 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.856 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.856 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.857 * [backup-simplify]: Simplify (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.857 * [backup-simplify]: Simplify (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.857 * [backup-simplify]: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
14.857 * [backup-simplify]: Simplify (+ (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.858 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
14.858 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
14.858 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
14.858 * [taylor]: Taking taylor expansion of (/ -1 k) in n
14.858 * [taylor]: Taking taylor expansion of -1 in n
14.858 * [backup-simplify]: Simplify -1 into -1
14.858 * [taylor]: Taking taylor expansion of k in n
14.858 * [backup-simplify]: Simplify k into k
14.858 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
14.858 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
14.858 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
14.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
14.858 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
14.858 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
14.858 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
14.858 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.858 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
14.858 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
14.858 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.858 * [taylor]: Taking taylor expansion of 1/2 in n
14.858 * [backup-simplify]: Simplify 1/2 into 1/2
14.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.858 * [taylor]: Taking taylor expansion of k in n
14.858 * [backup-simplify]: Simplify k into k
14.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.858 * [taylor]: Taking taylor expansion of 1/2 in n
14.858 * [backup-simplify]: Simplify 1/2 into 1/2
14.858 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.858 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.858 * [taylor]: Taking taylor expansion of -2 in n
14.858 * [backup-simplify]: Simplify -2 into -2
14.858 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.858 * [taylor]: Taking taylor expansion of PI in n
14.858 * [backup-simplify]: Simplify PI into PI
14.858 * [taylor]: Taking taylor expansion of n in n
14.858 * [backup-simplify]: Simplify 0 into 0
14.858 * [backup-simplify]: Simplify 1 into 1
14.861 * [backup-simplify]: Simplify (/ PI 1) into PI
14.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.862 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.862 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.862 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.864 * [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)))
14.864 * [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))))
14.864 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
14.865 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.865 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
14.865 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
14.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.865 * [taylor]: Taking taylor expansion of 1/2 in n
14.865 * [backup-simplify]: Simplify 1/2 into 1/2
14.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.865 * [taylor]: Taking taylor expansion of k in n
14.865 * [backup-simplify]: Simplify k into k
14.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.865 * [taylor]: Taking taylor expansion of 1/2 in n
14.865 * [backup-simplify]: Simplify 1/2 into 1/2
14.865 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
14.865 * [taylor]: Taking taylor expansion of (/ -2 n) in n
14.865 * [taylor]: Taking taylor expansion of -2 in n
14.865 * [backup-simplify]: Simplify -2 into -2
14.865 * [taylor]: Taking taylor expansion of n in n
14.865 * [backup-simplify]: Simplify 0 into 0
14.865 * [backup-simplify]: Simplify 1 into 1
14.865 * [backup-simplify]: Simplify (/ -2 1) into -2
14.865 * [backup-simplify]: Simplify (log -2) into (log -2)
14.865 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.865 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.866 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
14.867 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
14.867 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.867 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
14.867 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
14.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.867 * [taylor]: Taking taylor expansion of 1/2 in n
14.867 * [backup-simplify]: Simplify 1/2 into 1/2
14.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.867 * [taylor]: Taking taylor expansion of k in n
14.867 * [backup-simplify]: Simplify k into k
14.867 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.867 * [taylor]: Taking taylor expansion of 1/2 in n
14.867 * [backup-simplify]: Simplify 1/2 into 1/2
14.867 * [taylor]: Taking taylor expansion of (log PI) in n
14.867 * [taylor]: Taking taylor expansion of PI in n
14.867 * [backup-simplify]: Simplify PI into PI
14.867 * [backup-simplify]: Simplify (log PI) into (log PI)
14.867 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.867 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.868 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
14.868 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.868 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.869 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.870 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.872 * [backup-simplify]: Simplify (+ 0 0) into 0
14.872 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
14.873 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
14.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
14.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.875 * [backup-simplify]: Simplify (+ 0 0) into 0
14.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.876 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
14.877 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.877 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
14.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.878 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
14.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.880 * [backup-simplify]: Simplify (+ 0 0) into 0
14.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.882 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
14.883 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.884 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.886 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
14.886 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
14.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
14.886 * [taylor]: Taking taylor expansion of (/ -1 k) in n
14.886 * [taylor]: Taking taylor expansion of -1 in n
14.886 * [backup-simplify]: Simplify -1 into -1
14.886 * [taylor]: Taking taylor expansion of k in n
14.886 * [backup-simplify]: Simplify k into k
14.886 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
14.886 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
14.886 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
14.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
14.887 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
14.887 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
14.887 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
14.887 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.887 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
14.887 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
14.887 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.887 * [taylor]: Taking taylor expansion of 1/2 in n
14.887 * [backup-simplify]: Simplify 1/2 into 1/2
14.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.887 * [taylor]: Taking taylor expansion of k in n
14.887 * [backup-simplify]: Simplify k into k
14.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.887 * [taylor]: Taking taylor expansion of 1/2 in n
14.887 * [backup-simplify]: Simplify 1/2 into 1/2
14.887 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.887 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.887 * [taylor]: Taking taylor expansion of -2 in n
14.887 * [backup-simplify]: Simplify -2 into -2
14.887 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.887 * [taylor]: Taking taylor expansion of PI in n
14.887 * [backup-simplify]: Simplify PI into PI
14.887 * [taylor]: Taking taylor expansion of n in n
14.887 * [backup-simplify]: Simplify 0 into 0
14.887 * [backup-simplify]: Simplify 1 into 1
14.888 * [backup-simplify]: Simplify (/ PI 1) into PI
14.888 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.890 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.890 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.890 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.892 * [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)))
14.894 * [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))))
14.894 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
14.894 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.894 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
14.894 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
14.894 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.894 * [taylor]: Taking taylor expansion of 1/2 in n
14.894 * [backup-simplify]: Simplify 1/2 into 1/2
14.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.894 * [taylor]: Taking taylor expansion of k in n
14.894 * [backup-simplify]: Simplify k into k
14.894 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.894 * [taylor]: Taking taylor expansion of 1/2 in n
14.894 * [backup-simplify]: Simplify 1/2 into 1/2
14.894 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
14.894 * [taylor]: Taking taylor expansion of (/ -2 n) in n
14.894 * [taylor]: Taking taylor expansion of -2 in n
14.894 * [backup-simplify]: Simplify -2 into -2
14.894 * [taylor]: Taking taylor expansion of n in n
14.894 * [backup-simplify]: Simplify 0 into 0
14.894 * [backup-simplify]: Simplify 1 into 1
14.895 * [backup-simplify]: Simplify (/ -2 1) into -2
14.895 * [backup-simplify]: Simplify (log -2) into (log -2)
14.895 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.895 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.897 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
14.897 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
14.897 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.897 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
14.897 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
14.897 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.897 * [taylor]: Taking taylor expansion of 1/2 in n
14.897 * [backup-simplify]: Simplify 1/2 into 1/2
14.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.897 * [taylor]: Taking taylor expansion of k in n
14.897 * [backup-simplify]: Simplify k into k
14.897 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.897 * [taylor]: Taking taylor expansion of 1/2 in n
14.897 * [backup-simplify]: Simplify 1/2 into 1/2
14.897 * [taylor]: Taking taylor expansion of (log PI) in n
14.897 * [taylor]: Taking taylor expansion of PI in n
14.897 * [backup-simplify]: Simplify PI into PI
14.898 * [backup-simplify]: Simplify (log PI) into (log PI)
14.898 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.898 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.899 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
14.899 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.900 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.902 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.904 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.906 * [backup-simplify]: Simplify (+ 0 0) into 0
14.907 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
14.908 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
14.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
14.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
14.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.912 * [backup-simplify]: Simplify (+ 0 0) into 0
14.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.913 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
14.915 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.915 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
14.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.917 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
14.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.920 * [backup-simplify]: Simplify (+ 0 0) into 0
14.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.923 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
14.925 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.926 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.930 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
14.930 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in k
14.930 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
14.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.931 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.931 * [taylor]: Taking taylor expansion of -1 in k
14.931 * [backup-simplify]: Simplify -1 into -1
14.931 * [taylor]: Taking taylor expansion of k in k
14.931 * [backup-simplify]: Simplify 0 into 0
14.931 * [backup-simplify]: Simplify 1 into 1
14.931 * [backup-simplify]: Simplify (/ -1 1) into -1
14.931 * [backup-simplify]: Simplify (sqrt 0) into 0
14.933 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.933 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
14.933 * [taylor]: Taking taylor expansion of (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k
14.933 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
14.933 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
14.933 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
14.934 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.934 * [taylor]: Taking taylor expansion of 1/2 in k
14.934 * [backup-simplify]: Simplify 1/2 into 1/2
14.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.934 * [taylor]: Taking taylor expansion of k in k
14.934 * [backup-simplify]: Simplify 0 into 0
14.934 * [backup-simplify]: Simplify 1 into 1
14.934 * [backup-simplify]: Simplify (/ 1 1) into 1
14.934 * [taylor]: Taking taylor expansion of 1/2 in k
14.934 * [backup-simplify]: Simplify 1/2 into 1/2
14.934 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
14.934 * [taylor]: Taking taylor expansion of (log -2) in k
14.934 * [taylor]: Taking taylor expansion of -2 in k
14.934 * [backup-simplify]: Simplify -2 into -2
14.935 * [backup-simplify]: Simplify (log -2) into (log -2)
14.935 * [taylor]: Taking taylor expansion of (log n) in k
14.935 * [taylor]: Taking taylor expansion of n in k
14.935 * [backup-simplify]: Simplify n into n
14.935 * [backup-simplify]: Simplify (log n) into (log n)
14.935 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.936 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.936 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.936 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
14.936 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
14.937 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
14.937 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
14.937 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
14.937 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
14.937 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.937 * [taylor]: Taking taylor expansion of 1/2 in k
14.937 * [backup-simplify]: Simplify 1/2 into 1/2
14.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.937 * [taylor]: Taking taylor expansion of k in k
14.937 * [backup-simplify]: Simplify 0 into 0
14.937 * [backup-simplify]: Simplify 1 into 1
14.937 * [backup-simplify]: Simplify (/ 1 1) into 1
14.937 * [taylor]: Taking taylor expansion of 1/2 in k
14.937 * [backup-simplify]: Simplify 1/2 into 1/2
14.937 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
14.937 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
14.937 * [taylor]: Taking taylor expansion of (* -2 PI) in k
14.937 * [taylor]: Taking taylor expansion of -2 in k
14.937 * [backup-simplify]: Simplify -2 into -2
14.937 * [taylor]: Taking taylor expansion of PI in k
14.937 * [backup-simplify]: Simplify PI into PI
14.937 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.938 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.938 * [taylor]: Taking taylor expansion of (log n) in k
14.938 * [taylor]: Taking taylor expansion of n in k
14.938 * [backup-simplify]: Simplify n into n
14.938 * [backup-simplify]: Simplify (log n) into (log n)
14.938 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.939 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.939 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.939 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
14.940 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
14.941 * [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))))
14.941 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.941 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.941 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.941 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.941 * [taylor]: Taking taylor expansion of 1/2 in k
14.941 * [backup-simplify]: Simplify 1/2 into 1/2
14.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.941 * [taylor]: Taking taylor expansion of k in k
14.941 * [backup-simplify]: Simplify 0 into 0
14.941 * [backup-simplify]: Simplify 1 into 1
14.941 * [backup-simplify]: Simplify (/ 1 1) into 1
14.941 * [taylor]: Taking taylor expansion of 1/2 in k
14.941 * [backup-simplify]: Simplify 1/2 into 1/2
14.941 * [taylor]: Taking taylor expansion of (log PI) in k
14.941 * [taylor]: Taking taylor expansion of PI in k
14.941 * [backup-simplify]: Simplify PI into PI
14.942 * [backup-simplify]: Simplify (log PI) into (log PI)
14.942 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.942 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.943 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.943 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.944 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.945 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.946 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.947 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
14.948 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.951 * [backup-simplify]: Simplify (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
14.952 * [backup-simplify]: Simplify (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
14.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
14.953 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (* 0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.953 * [taylor]: Taking taylor expansion of 0 in k
14.953 * [backup-simplify]: Simplify 0 into 0
14.953 * [backup-simplify]: Simplify 0 into 0
14.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.955 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.957 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
14.959 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))
14.960 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))
14.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.963 * [backup-simplify]: Simplify (+ 0 0) into 0
14.964 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
14.965 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
14.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.971 * [backup-simplify]: Simplify (+ 0 0) into 0
14.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.972 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
14.973 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.973 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
14.977 * [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
14.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.978 * [backup-simplify]: Simplify (+ 0 0) into 0
14.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.981 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
14.984 * [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
14.986 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
14.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.989 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
14.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
14.992 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into 0
14.992 * [taylor]: Taking taylor expansion of 0 in k
14.992 * [backup-simplify]: Simplify 0 into 0
14.992 * [backup-simplify]: Simplify 0 into 0
14.992 * [backup-simplify]: Simplify 0 into 0
14.994 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.996 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
14.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
14.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.007 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
15.010 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))
15.012 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))
15.019 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))))) into (- (+ (* +nan.0 (* (/ 1 k) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))) (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))))))
15.020 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
15.020 * [backup-simplify]: Simplify (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) into (sqrt (/ k (pow PI (- 1/2 (* 1/2 k)))))
15.020 * [approximate]: Taking taylor expansion of (sqrt (/ k (pow PI (- 1/2 (* 1/2 k))))) in (k) around 0
15.020 * [taylor]: Taking taylor expansion of (sqrt (/ k (pow PI (- 1/2 (* 1/2 k))))) in k
15.020 * [taylor]: Taking taylor expansion of (/ k (pow PI (- 1/2 (* 1/2 k)))) in k
15.020 * [taylor]: Taking taylor expansion of k in k
15.020 * [backup-simplify]: Simplify 0 into 0
15.020 * [backup-simplify]: Simplify 1 into 1
15.020 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
15.020 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
15.020 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
15.020 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.020 * [taylor]: Taking taylor expansion of 1/2 in k
15.020 * [backup-simplify]: Simplify 1/2 into 1/2
15.020 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.020 * [taylor]: Taking taylor expansion of 1/2 in k
15.020 * [backup-simplify]: Simplify 1/2 into 1/2
15.020 * [taylor]: Taking taylor expansion of k in k
15.020 * [backup-simplify]: Simplify 0 into 0
15.020 * [backup-simplify]: Simplify 1 into 1
15.020 * [taylor]: Taking taylor expansion of (log PI) in k
15.020 * [taylor]: Taking taylor expansion of PI in k
15.020 * [backup-simplify]: Simplify PI into PI
15.021 * [backup-simplify]: Simplify (log PI) into (log PI)
15.021 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.022 * [backup-simplify]: Simplify (- 0) into 0
15.022 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.023 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.025 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
15.026 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
15.027 * [backup-simplify]: Simplify (sqrt 0) into 0
15.030 * [backup-simplify]: Simplify (/ (sqrt (/ 1 PI)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt (/ 1 PI)))
15.030 * [taylor]: Taking taylor expansion of (sqrt (/ k (pow PI (- 1/2 (* 1/2 k))))) in k
15.030 * [taylor]: Taking taylor expansion of (/ k (pow PI (- 1/2 (* 1/2 k)))) in k
15.030 * [taylor]: Taking taylor expansion of k in k
15.030 * [backup-simplify]: Simplify 0 into 0
15.030 * [backup-simplify]: Simplify 1 into 1
15.030 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
15.030 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
15.030 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
15.030 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.030 * [taylor]: Taking taylor expansion of 1/2 in k
15.030 * [backup-simplify]: Simplify 1/2 into 1/2
15.030 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.030 * [taylor]: Taking taylor expansion of 1/2 in k
15.030 * [backup-simplify]: Simplify 1/2 into 1/2
15.030 * [taylor]: Taking taylor expansion of k in k
15.030 * [backup-simplify]: Simplify 0 into 0
15.030 * [backup-simplify]: Simplify 1 into 1
15.030 * [taylor]: Taking taylor expansion of (log PI) in k
15.030 * [taylor]: Taking taylor expansion of PI in k
15.030 * [backup-simplify]: Simplify PI into PI
15.031 * [backup-simplify]: Simplify (log PI) into (log PI)
15.031 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.031 * [backup-simplify]: Simplify (- 0) into 0
15.032 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.033 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.035 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
15.036 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
15.036 * [backup-simplify]: Simplify (sqrt 0) into 0
15.039 * [backup-simplify]: Simplify (/ (sqrt (/ 1 PI)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt (/ 1 PI)))
15.039 * [backup-simplify]: Simplify 0 into 0
15.041 * [backup-simplify]: Simplify (* +nan.0 (sqrt (/ 1 PI))) into (* +nan.0 (sqrt (/ 1 PI)))
15.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.043 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.044 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.044 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
15.052 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
15.059 * [backup-simplify]: Simplify (- (/ 0 (pow PI 1/2)) (+ (* (sqrt (/ 1 PI)) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/2 (* (log PI) (sqrt (/ 1 PI))))
15.066 * [backup-simplify]: Simplify (/ (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (pow (* +nan.0 (sqrt (/ 1 PI))) 2) (+)) (* 2 0)) into (* +nan.0 (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (* +nan.0 (/ 1 PI))))
15.071 * [backup-simplify]: Simplify (* +nan.0 (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (* +nan.0 (/ 1 PI)))) into (* +nan.0 (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (* +nan.0 (/ 1 PI))))
15.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.074 * [backup-simplify]: Simplify (- 0) into 0
15.074 * [backup-simplify]: Simplify (+ 0 0) into 0
15.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
15.086 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
15.105 * [backup-simplify]: Simplify (- (/ 0 (pow PI 1/2)) (+ (* (sqrt (/ 1 PI)) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI))))
15.138 * [backup-simplify]: Simplify (/ (- (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (+ (* 2 (* (* +nan.0 (sqrt (/ 1 PI))) (* +nan.0 (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (* +nan.0 (/ 1 PI)))))))) (* 2 0)) into (* +nan.0 (- (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (+ (* +nan.0 (/ (log PI) PI)) (- (* +nan.0 (sqrt (/ 1 (pow PI 3))))))))
15.159 * [backup-simplify]: Simplify (* +nan.0 (- (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (+ (* +nan.0 (/ (log PI) PI)) (- (* +nan.0 (sqrt (/ 1 (pow PI 3)))))))) into (* +nan.0 (- (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (+ (* +nan.0 (/ (log PI) PI)) (- (* +nan.0 (sqrt (/ 1 (pow PI 3))))))))
15.189 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (+ (* +nan.0 (/ (log PI) PI)) (- (* +nan.0 (sqrt (/ 1 (pow PI 3)))))))) (pow k 3)) (+ (* (* +nan.0 (- (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (* +nan.0 (/ 1 PI)))) (pow k 2)) (* (* +nan.0 (sqrt (/ 1 PI))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (/ (* (log PI) (pow k 3)) PI)) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (/ (pow k 2) PI)) (- (* +nan.0 (* (sqrt (/ 1 (pow PI 3))) (pow k 3))))))))))))))
15.190 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2))))) into (sqrt (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k)))
15.190 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k))) in (k) around 0
15.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k))) in k
15.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k)) in k
15.190 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k) in k
15.190 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
15.190 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
15.190 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
15.190 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.190 * [taylor]: Taking taylor expansion of 1/2 in k
15.190 * [backup-simplify]: Simplify 1/2 into 1/2
15.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.190 * [taylor]: Taking taylor expansion of 1/2 in k
15.190 * [backup-simplify]: Simplify 1/2 into 1/2
15.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.190 * [taylor]: Taking taylor expansion of k in k
15.190 * [backup-simplify]: Simplify 0 into 0
15.190 * [backup-simplify]: Simplify 1 into 1
15.191 * [backup-simplify]: Simplify (/ 1 1) into 1
15.191 * [taylor]: Taking taylor expansion of (log PI) in k
15.191 * [taylor]: Taking taylor expansion of PI in k
15.191 * [backup-simplify]: Simplify PI into PI
15.191 * [backup-simplify]: Simplify (log PI) into (log PI)
15.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.192 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.193 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.194 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
15.194 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.194 * [taylor]: Taking taylor expansion of k in k
15.194 * [backup-simplify]: Simplify 0 into 0
15.194 * [backup-simplify]: Simplify 1 into 1
15.194 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
15.195 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1) (* 0 0)) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.195 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.195 * [backup-simplify]: Simplify (sqrt 0) into 0
15.196 * [backup-simplify]: Simplify (/ (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (* 2 (sqrt 0))) into (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k))) in k
15.196 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k)) in k
15.196 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) k) in k
15.196 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
15.196 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
15.196 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
15.196 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.196 * [taylor]: Taking taylor expansion of 1/2 in k
15.196 * [backup-simplify]: Simplify 1/2 into 1/2
15.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.196 * [taylor]: Taking taylor expansion of 1/2 in k
15.196 * [backup-simplify]: Simplify 1/2 into 1/2
15.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.196 * [taylor]: Taking taylor expansion of k in k
15.196 * [backup-simplify]: Simplify 0 into 0
15.196 * [backup-simplify]: Simplify 1 into 1
15.197 * [backup-simplify]: Simplify (/ 1 1) into 1
15.197 * [taylor]: Taking taylor expansion of (log PI) in k
15.197 * [taylor]: Taking taylor expansion of PI in k
15.197 * [backup-simplify]: Simplify PI into PI
15.197 * [backup-simplify]: Simplify (log PI) into (log PI)
15.198 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.198 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.199 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.200 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
15.200 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.200 * [taylor]: Taking taylor expansion of k in k
15.200 * [backup-simplify]: Simplify 0 into 0
15.200 * [backup-simplify]: Simplify 1 into 1
15.200 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
15.201 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1) (* 0 0)) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.201 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.201 * [backup-simplify]: Simplify (sqrt 0) into 0
15.202 * [backup-simplify]: Simplify (/ (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (* 2 (sqrt 0))) into (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.202 * [backup-simplify]: Simplify 0 into 0
15.202 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.203 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 1) (* 0 0))) into 0
15.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
15.204 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 2) (+)) (* 2 0)) into (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2))
15.204 * [backup-simplify]: Simplify (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2)) into (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2))
15.205 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
15.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 2)))))) (* 2 0)) into (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3))
15.207 * [backup-simplify]: Simplify (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3)) into (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 3))
15.208 * [backup-simplify]: Simplify (+ (* (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) 3)) (pow (/ 1 k) 2)) (+ (* (/ +nan.0 (pow (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) 2)) (/ 1 k)) (/ +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) into (- (+ (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 3) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) k))))))))
15.208 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) into (* (sqrt (/ -1 k)) (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
15.208 * [approximate]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in (k) around 0
15.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k
15.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.208 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.208 * [taylor]: Taking taylor expansion of -1 in k
15.208 * [backup-simplify]: Simplify -1 into -1
15.208 * [taylor]: Taking taylor expansion of k in k
15.208 * [backup-simplify]: Simplify 0 into 0
15.208 * [backup-simplify]: Simplify 1 into 1
15.209 * [backup-simplify]: Simplify (/ -1 1) into -1
15.209 * [backup-simplify]: Simplify (sqrt 0) into 0
15.211 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
15.211 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
15.211 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.211 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
15.211 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
15.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.211 * [taylor]: Taking taylor expansion of 1/2 in k
15.211 * [backup-simplify]: Simplify 1/2 into 1/2
15.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.211 * [taylor]: Taking taylor expansion of k in k
15.211 * [backup-simplify]: Simplify 0 into 0
15.211 * [backup-simplify]: Simplify 1 into 1
15.211 * [backup-simplify]: Simplify (/ 1 1) into 1
15.211 * [taylor]: Taking taylor expansion of 1/2 in k
15.211 * [backup-simplify]: Simplify 1/2 into 1/2
15.211 * [taylor]: Taking taylor expansion of (log PI) in k
15.211 * [taylor]: Taking taylor expansion of PI in k
15.211 * [backup-simplify]: Simplify PI into PI
15.212 * [backup-simplify]: Simplify (log PI) into (log PI)
15.212 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.213 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.214 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.214 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.214 * [backup-simplify]: Simplify (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.214 * [backup-simplify]: Simplify (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.215 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k
15.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.215 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.215 * [taylor]: Taking taylor expansion of -1 in k
15.215 * [backup-simplify]: Simplify -1 into -1
15.215 * [taylor]: Taking taylor expansion of k in k
15.215 * [backup-simplify]: Simplify 0 into 0
15.215 * [backup-simplify]: Simplify 1 into 1
15.216 * [backup-simplify]: Simplify (/ -1 1) into -1
15.216 * [backup-simplify]: Simplify (sqrt 0) into 0
15.217 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
15.217 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
15.217 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.217 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
15.217 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
15.218 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.218 * [taylor]: Taking taylor expansion of 1/2 in k
15.218 * [backup-simplify]: Simplify 1/2 into 1/2
15.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.218 * [taylor]: Taking taylor expansion of k in k
15.218 * [backup-simplify]: Simplify 0 into 0
15.218 * [backup-simplify]: Simplify 1 into 1
15.218 * [backup-simplify]: Simplify (/ 1 1) into 1
15.218 * [taylor]: Taking taylor expansion of 1/2 in k
15.218 * [backup-simplify]: Simplify 1/2 into 1/2
15.218 * [taylor]: Taking taylor expansion of (log PI) in k
15.218 * [taylor]: Taking taylor expansion of PI in k
15.218 * [backup-simplify]: Simplify PI into PI
15.219 * [backup-simplify]: Simplify (log PI) into (log PI)
15.219 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.220 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.221 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.221 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.221 * [backup-simplify]: Simplify (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.221 * [backup-simplify]: Simplify (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.222 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
15.222 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.223 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* 0 (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.234 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.235 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* 0 (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* 0 (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.244 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (/ 1 (- k))) (- (* +nan.0 (sqrt (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (* (/ 1 k) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))))))))
15.244 * * * [progress]: simplifying candidates
15.244 * * * * [progress]: [ 1 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 2 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 3 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (* 1 (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 4 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2))))))))>
15.245 * * * * [progress]: [ 5 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 6 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 7 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))))))>
15.245 * * * * [progress]: [ 8 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))))>
15.245 * * * * [progress]: [ 9 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))))>
15.245 * * * * [progress]: [ 10 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))))))>
15.245 * * * * [progress]: [ 11 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))))))>
15.245 * * * * [progress]: [ 12 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))))))>
15.245 * * * * [progress]: [ 13 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 14 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 15 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))))>
15.245 * * * * [progress]: [ 16 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1))))))>
15.245 * * * * [progress]: [ 17 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (exp (log (pow PI (- 1/2 (/ k 2))))))))))>
15.245 * * * * [progress]: [ 18 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (log (exp (pow PI (- 1/2 (/ k 2))))))))))>
15.245 * * * * [progress]: [ 19 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.245 * * * * [progress]: [ 20 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))))>
15.245 * * * * [progress]: [ 21 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.246 * * * * [progress]: [ 22 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 1 (pow PI (- 1/2 (/ k 2)))))))))>
15.246 * * * * [progress]: [ 23 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.246 * * * * [progress]: [ 24 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))))>
15.246 * * * * [progress]: [ 25 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 26 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 27 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 28 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 29 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 30 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 31 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 32 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 33 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 34 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 35 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 36 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 37 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 38 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 39 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 40 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 41 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 42 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 43 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.246 * * * * [progress]: [ 44 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1))>
15.247 * * * * [progress]: [ 45 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1))>
15.247 * * * * [progress]: [ 46 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 47 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 48 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 49 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 50 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 51 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 52 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 53 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 54 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 55 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 56 / 1193 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 57 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 58 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 59 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 60 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 61 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 62 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.247 * * * * [progress]: [ 63 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 64 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 65 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 66 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.248 * * * * [progress]: [ 67 / 1193 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.248 * * * * [progress]: [ 68 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 69 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 70 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.248 * * * * [progress]: [ 71 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 72 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.248 * * * * [progress]: [ 73 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 74 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.248 * * * * [progress]: [ 75 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 76 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.248 * * * * [progress]: [ 77 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 78 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 79 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.248 * * * * [progress]: [ 80 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.248 * * * * [progress]: [ 81 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.248 * * * * [progress]: [ 82 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 83 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.249 * * * * [progress]: [ 84 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 85 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.249 * * * * [progress]: [ 86 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 87 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 88 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.249 * * * * [progress]: [ 89 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 90 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.249 * * * * [progress]: [ 91 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 92 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.249 * * * * [progress]: [ 93 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 94 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.249 * * * * [progress]: [ 95 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 96 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 97 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 98 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.249 * * * * [progress]: [ 99 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.249 * * * * [progress]: [ 100 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.250 * * * * [progress]: [ 101 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 102 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.250 * * * * [progress]: [ 103 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 104 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.250 * * * * [progress]: [ 105 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 106 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 107 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.250 * * * * [progress]: [ 108 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 109 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.250 * * * * [progress]: [ 110 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 111 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.250 * * * * [progress]: [ 112 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 113 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.250 * * * * [progress]: [ 114 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 115 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 116 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.250 * * * * [progress]: [ 117 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.250 * * * * [progress]: [ 118 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.251 * * * * [progress]: [ 119 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 120 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.251 * * * * [progress]: [ 121 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 122 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.251 * * * * [progress]: [ 123 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 124 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 125 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 126 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.251 * * * * [progress]: [ 127 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 128 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.251 * * * * [progress]: [ 129 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 130 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.251 * * * * [progress]: [ 131 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 132 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.251 * * * * [progress]: [ 133 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 134 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 135 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.251 * * * * [progress]: [ 136 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.251 * * * * [progress]: [ 137 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.252 * * * * [progress]: [ 138 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 139 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.252 * * * * [progress]: [ 140 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 141 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.252 * * * * [progress]: [ 142 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 143 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 144 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.252 * * * * [progress]: [ 145 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 146 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.252 * * * * [progress]: [ 147 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 148 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.252 * * * * [progress]: [ 149 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 150 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.252 * * * * [progress]: [ 151 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 152 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 153 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.252 * * * * [progress]: [ 154 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.252 * * * * [progress]: [ 155 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 156 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.253 * * * * [progress]: [ 157 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 158 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.253 * * * * [progress]: [ 159 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 160 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.253 * * * * [progress]: [ 161 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 162 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 163 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.253 * * * * [progress]: [ 164 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 165 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.253 * * * * [progress]: [ 166 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 167 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.253 * * * * [progress]: [ 168 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 169 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.253 * * * * [progress]: [ 170 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 171 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.253 * * * * [progress]: [ 172 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.253 * * * * [progress]: [ 173 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 174 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.254 * * * * [progress]: [ 175 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 176 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.254 * * * * [progress]: [ 177 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 178 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.254 * * * * [progress]: [ 179 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 180 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 181 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 182 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.254 * * * * [progress]: [ 183 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 184 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.254 * * * * [progress]: [ 185 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 186 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.254 * * * * [progress]: [ 187 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 188 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.254 * * * * [progress]: [ 189 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 190 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.254 * * * * [progress]: [ 191 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.255 * * * * [progress]: [ 192 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 193 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.255 * * * * [progress]: [ 194 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 195 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.255 * * * * [progress]: [ 196 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 197 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.255 * * * * [progress]: [ 198 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 199 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 200 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.255 * * * * [progress]: [ 201 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 202 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.255 * * * * [progress]: [ 203 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 204 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.255 * * * * [progress]: [ 205 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 206 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.255 * * * * [progress]: [ 207 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 208 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.255 * * * * [progress]: [ 209 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 210 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.256 * * * * [progress]: [ 211 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 212 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.256 * * * * [progress]: [ 213 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 214 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.256 * * * * [progress]: [ 215 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 216 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.256 * * * * [progress]: [ 217 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 218 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 219 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.256 * * * * [progress]: [ 220 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 221 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.256 * * * * [progress]: [ 222 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 223 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.256 * * * * [progress]: [ 224 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 225 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.256 * * * * [progress]: [ 226 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 227 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.256 * * * * [progress]: [ 228 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.257 * * * * [progress]: [ 229 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 230 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.257 * * * * [progress]: [ 231 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 232 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.257 * * * * [progress]: [ 233 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 234 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.257 * * * * [progress]: [ 235 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 236 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 237 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 238 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.257 * * * * [progress]: [ 239 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 240 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.257 * * * * [progress]: [ 241 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 242 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.257 * * * * [progress]: [ 243 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 244 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.257 * * * * [progress]: [ 245 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.257 * * * * [progress]: [ 246 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 247 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.258 * * * * [progress]: [ 248 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 249 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.258 * * * * [progress]: [ 250 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 251 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.258 * * * * [progress]: [ 252 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 253 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.258 * * * * [progress]: [ 254 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 255 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 256 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.258 * * * * [progress]: [ 257 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 258 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.258 * * * * [progress]: [ 259 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 260 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.258 * * * * [progress]: [ 261 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 262 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.258 * * * * [progress]: [ 263 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.258 * * * * [progress]: [ 264 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.258 * * * * [progress]: [ 265 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 266 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 267 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 268 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 269 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.259 * * * * [progress]: [ 270 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.259 * * * * [progress]: [ 271 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.259 * * * * [progress]: [ 272 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.259 * * * * [progress]: [ 273 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.259 * * * * [progress]: [ 274 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 275 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 276 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.259 * * * * [progress]: [ 277 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.259 * * * * [progress]: [ 278 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 279 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.259 * * * * [progress]: [ 280 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.259 * * * * [progress]: [ 281 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.259 * * * * [progress]: [ 282 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.259 * * * * [progress]: [ 283 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 284 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 285 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 286 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 287 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 288 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 289 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.260 * * * * [progress]: [ 290 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 291 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 292 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 293 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.260 * * * * [progress]: [ 294 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.260 * * * * [progress]: [ 295 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 296 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 297 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 298 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 299 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.260 * * * * [progress]: [ 300 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.260 * * * * [progress]: [ 301 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.261 * * * * [progress]: [ 302 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 303 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 304 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 305 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.261 * * * * [progress]: [ 306 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.261 * * * * [progress]: [ 307 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 308 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 309 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 310 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 311 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 312 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 313 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.261 * * * * [progress]: [ 314 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 315 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.261 * * * * [progress]: [ 316 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.261 * * * * [progress]: [ 317 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.261 * * * * [progress]: [ 318 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.261 * * * * [progress]: [ 319 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 320 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 321 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 322 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 323 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 324 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 325 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.262 * * * * [progress]: [ 326 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 327 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 328 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 329 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.262 * * * * [progress]: [ 330 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.262 * * * * [progress]: [ 331 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 332 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 333 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.262 * * * * [progress]: [ 334 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 335 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.262 * * * * [progress]: [ 336 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt 1)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 337 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.263 * * * * [progress]: [ 338 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.263 * * * * [progress]: [ 339 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 340 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 341 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt k))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 342 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ k 2))))))>
15.263 * * * * [progress]: [ 343 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.263 * * * * [progress]: [ 344 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.263 * * * * [progress]: [ 345 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.263 * * * * [progress]: [ 346 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.263 * * * * [progress]: [ 347 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.263 * * * * [progress]: [ 348 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 349 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 350 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.263 * * * * [progress]: [ 351 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 352 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 353 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 354 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.264 * * * * [progress]: [ 355 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 356 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 357 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 358 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.264 * * * * [progress]: [ 359 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.264 * * * * [progress]: [ 360 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 361 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 362 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 363 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 364 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 365 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 366 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.264 * * * * [progress]: [ 367 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 368 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.264 * * * * [progress]: [ 369 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.264 * * * * [progress]: [ 370 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.265 * * * * [progress]: [ 371 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.265 * * * * [progress]: [ 372 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 373 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 374 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 375 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.265 * * * * [progress]: [ 376 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.265 * * * * [progress]: [ 377 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 378 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.265 * * * * [progress]: [ 379 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.265 * * * * [progress]: [ 380 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 381 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.265 * * * * [progress]: [ 382 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.265 * * * * [progress]: [ 383 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.265 * * * * [progress]: [ 384 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 385 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 386 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.265 * * * * [progress]: [ 387 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 388 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 389 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 390 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.266 * * * * [progress]: [ 391 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 392 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 393 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 394 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.266 * * * * [progress]: [ 395 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.266 * * * * [progress]: [ 396 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 397 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 398 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 399 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 400 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 401 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 402 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.266 * * * * [progress]: [ 403 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 404 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.266 * * * * [progress]: [ 405 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.266 * * * * [progress]: [ 406 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.267 * * * * [progress]: [ 407 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.267 * * * * [progress]: [ 408 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 409 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 410 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 411 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 412 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 413 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 414 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.267 * * * * [progress]: [ 415 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 416 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 417 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 418 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 419 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (/ k 2))))))>
15.267 * * * * [progress]: [ 420 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 421 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 422 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.267 * * * * [progress]: [ 423 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.267 * * * * [progress]: [ 424 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.267 * * * * [progress]: [ 425 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.267 * * * * [progress]: [ 426 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 427 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 428 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 429 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 430 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 431 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.268 * * * * [progress]: [ 432 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 433 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 434 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 435 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.268 * * * * [progress]: [ 436 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.268 * * * * [progress]: [ 437 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 438 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 439 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 440 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 441 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.268 * * * * [progress]: [ 442 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.268 * * * * [progress]: [ 443 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.268 * * * * [progress]: [ 444 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 445 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 446 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 447 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.269 * * * * [progress]: [ 448 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.269 * * * * [progress]: [ 449 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 450 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 451 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 452 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 453 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 454 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 455 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.269 * * * * [progress]: [ 456 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 457 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 458 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.269 * * * * [progress]: [ 459 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.269 * * * * [progress]: [ 460 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.269 * * * * [progress]: [ 461 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.269 * * * * [progress]: [ 462 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 463 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 464 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 465 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 466 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 467 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.270 * * * * [progress]: [ 468 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 469 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 470 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 471 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.270 * * * * [progress]: [ 472 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.270 * * * * [progress]: [ 473 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 474 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 475 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 476 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 477 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 478 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.270 * * * * [progress]: [ 479 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.270 * * * * [progress]: [ 480 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.270 * * * * [progress]: [ 481 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 482 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 483 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.271 * * * * [progress]: [ 484 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.271 * * * * [progress]: [ 485 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 486 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 487 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 488 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 489 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 490 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt 1)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 491 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.271 * * * * [progress]: [ 492 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 493 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 494 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 495 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.271 * * * * [progress]: [ 496 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (/ k 2))))))>
15.271 * * * * [progress]: [ 497 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 498 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.271 * * * * [progress]: [ 499 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 500 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.272 * * * * [progress]: [ 501 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.272 * * * * [progress]: [ 502 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 503 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 504 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 505 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 506 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 507 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 508 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.272 * * * * [progress]: [ 509 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 510 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 511 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 512 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.272 * * * * [progress]: [ 513 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.272 * * * * [progress]: [ 514 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 515 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 516 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.272 * * * * [progress]: [ 517 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.272 * * * * [progress]: [ 518 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 519 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 520 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.273 * * * * [progress]: [ 521 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 522 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 523 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 524 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.273 * * * * [progress]: [ 525 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.273 * * * * [progress]: [ 526 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 527 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 528 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 529 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 530 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 531 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 532 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.273 * * * * [progress]: [ 533 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 534 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.273 * * * * [progress]: [ 535 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.273 * * * * [progress]: [ 536 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.274 * * * * [progress]: [ 537 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.274 * * * * [progress]: [ 538 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 539 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 540 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 541 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.274 * * * * [progress]: [ 542 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.274 * * * * [progress]: [ 543 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 544 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.274 * * * * [progress]: [ 545 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.274 * * * * [progress]: [ 546 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 547 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.274 * * * * [progress]: [ 548 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.274 * * * * [progress]: [ 549 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.274 * * * * [progress]: [ 550 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 551 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 552 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.274 * * * * [progress]: [ 553 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 554 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 555 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 556 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.275 * * * * [progress]: [ 557 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 558 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 559 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 560 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.275 * * * * [progress]: [ 561 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.275 * * * * [progress]: [ 562 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 563 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 564 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 565 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 566 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 567 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt 1)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 568 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.275 * * * * [progress]: [ 569 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.275 * * * * [progress]: [ 570 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.275 * * * * [progress]: [ 571 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 572 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 573 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow PI (/ k 2))))))>
15.276 * * * * [progress]: [ 574 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 575 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 576 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 577 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.276 * * * * [progress]: [ 578 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.276 * * * * [progress]: [ 579 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 580 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 581 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 582 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 583 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 584 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 585 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.276 * * * * [progress]: [ 586 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.276 * * * * [progress]: [ 587 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.276 * * * * [progress]: [ 588 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.277 * * * * [progress]: [ 589 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.277 * * * * [progress]: [ 590 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.277 * * * * [progress]: [ 591 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 592 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 593 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 594 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.277 * * * * [progress]: [ 595 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.277 * * * * [progress]: [ 596 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 597 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.277 * * * * [progress]: [ 598 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.277 * * * * [progress]: [ 599 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 600 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.277 * * * * [progress]: [ 601 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.277 * * * * [progress]: [ 602 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.277 * * * * [progress]: [ 603 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.277 * * * * [progress]: [ 604 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 605 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 606 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 607 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 608 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 609 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.278 * * * * [progress]: [ 610 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 611 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 612 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 613 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.278 * * * * [progress]: [ 614 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.278 * * * * [progress]: [ 615 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 616 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 617 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 618 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 619 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.278 * * * * [progress]: [ 620 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.278 * * * * [progress]: [ 621 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.278 * * * * [progress]: [ 622 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 623 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 624 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 625 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.279 * * * * [progress]: [ 626 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.279 * * * * [progress]: [ 627 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 628 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 629 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 630 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 631 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 632 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 633 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.279 * * * * [progress]: [ 634 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 635 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.279 * * * * [progress]: [ 636 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.279 * * * * [progress]: [ 637 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.279 * * * * [progress]: [ 638 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.279 * * * * [progress]: [ 639 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 640 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 641 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 642 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.280 * * * * [progress]: [ 643 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.280 * * * * [progress]: [ 644 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt 1)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 645 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.280 * * * * [progress]: [ 646 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.280 * * * * [progress]: [ 647 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 648 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 649 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt k))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.280 * * * * [progress]: [ 650 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ k 2))))))>
15.280 * * * * [progress]: [ 651 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.280 * * * * [progress]: [ 652 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.281 * * * * [progress]: [ 653 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.281 * * * * [progress]: [ 654 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.281 * * * * [progress]: [ 655 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.281 * * * * [progress]: [ 656 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.281 * * * * [progress]: [ 657 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.281 * * * * [progress]: [ 658 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.281 * * * * [progress]: [ 659 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.281 * * * * [progress]: [ 660 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.281 * * * * [progress]: [ 661 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.281 * * * * [progress]: [ 662 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.281 * * * * [progress]: [ 663 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.281 * * * * [progress]: [ 664 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.282 * * * * [progress]: [ 665 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.282 * * * * [progress]: [ 666 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.282 * * * * [progress]: [ 667 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.282 * * * * [progress]: [ 668 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.282 * * * * [progress]: [ 669 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.282 * * * * [progress]: [ 670 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.282 * * * * [progress]: [ 671 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.282 * * * * [progress]: [ 672 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.282 * * * * [progress]: [ 673 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.282 * * * * [progress]: [ 674 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.282 * * * * [progress]: [ 675 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.282 * * * * [progress]: [ 676 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 677 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.283 * * * * [progress]: [ 678 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.283 * * * * [progress]: [ 679 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.283 * * * * [progress]: [ 680 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 681 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 682 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 683 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.283 * * * * [progress]: [ 684 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.283 * * * * [progress]: [ 685 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 686 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.283 * * * * [progress]: [ 687 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.283 * * * * [progress]: [ 688 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.283 * * * * [progress]: [ 689 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.284 * * * * [progress]: [ 690 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.284 * * * * [progress]: [ 691 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.284 * * * * [progress]: [ 692 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.284 * * * * [progress]: [ 693 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.284 * * * * [progress]: [ 694 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.284 * * * * [progress]: [ 695 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.284 * * * * [progress]: [ 696 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.284 * * * * [progress]: [ 697 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.284 * * * * [progress]: [ 698 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.284 * * * * [progress]: [ 699 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.284 * * * * [progress]: [ 700 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.284 * * * * [progress]: [ 701 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.285 * * * * [progress]: [ 702 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.285 * * * * [progress]: [ 703 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.285 * * * * [progress]: [ 704 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.285 * * * * [progress]: [ 705 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.285 * * * * [progress]: [ 706 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.285 * * * * [progress]: [ 707 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.285 * * * * [progress]: [ 708 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.285 * * * * [progress]: [ 709 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 710 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.286 * * * * [progress]: [ 711 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.286 * * * * [progress]: [ 712 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 713 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.286 * * * * [progress]: [ 714 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.286 * * * * [progress]: [ 715 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.286 * * * * [progress]: [ 716 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 717 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 718 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 719 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.286 * * * * [progress]: [ 720 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.286 * * * * [progress]: [ 721 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 722 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.286 * * * * [progress]: [ 723 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.286 * * * * [progress]: [ 724 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.286 * * * * [progress]: [ 725 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 726 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 727 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ k 2))))))>
15.287 * * * * [progress]: [ 728 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 729 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 730 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 731 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.287 * * * * [progress]: [ 732 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.287 * * * * [progress]: [ 733 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 734 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 735 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 736 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 737 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 738 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 739 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.287 * * * * [progress]: [ 740 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 741 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.287 * * * * [progress]: [ 742 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.287 * * * * [progress]: [ 743 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.287 * * * * [progress]: [ 744 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.288 * * * * [progress]: [ 745 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.288 * * * * [progress]: [ 746 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.288 * * * * [progress]: [ 747 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.288 * * * * [progress]: [ 748 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.288 * * * * [progress]: [ 749 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.288 * * * * [progress]: [ 750 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.288 * * * * [progress]: [ 751 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.288 * * * * [progress]: [ 752 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.288 * * * * [progress]: [ 753 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.288 * * * * [progress]: [ 754 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.288 * * * * [progress]: [ 755 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.288 * * * * [progress]: [ 756 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.288 * * * * [progress]: [ 757 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 758 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 759 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 760 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 761 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 762 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 763 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.289 * * * * [progress]: [ 764 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 765 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 766 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 767 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.289 * * * * [progress]: [ 768 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.289 * * * * [progress]: [ 769 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 770 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 771 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 772 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 773 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.289 * * * * [progress]: [ 774 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.289 * * * * [progress]: [ 775 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.290 * * * * [progress]: [ 776 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 777 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 778 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 779 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.290 * * * * [progress]: [ 780 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.290 * * * * [progress]: [ 781 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 782 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 783 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 784 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 785 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 786 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 787 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.290 * * * * [progress]: [ 788 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 789 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.290 * * * * [progress]: [ 790 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.290 * * * * [progress]: [ 791 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.290 * * * * [progress]: [ 792 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.290 * * * * [progress]: [ 793 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 794 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 795 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 796 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 797 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 798 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 799 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.291 * * * * [progress]: [ 800 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 801 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 802 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 803 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 804 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (/ k 2))))))>
15.291 * * * * [progress]: [ 805 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 806 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 807 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.291 * * * * [progress]: [ 808 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.291 * * * * [progress]: [ 809 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.291 * * * * [progress]: [ 810 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 811 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.291 * * * * [progress]: [ 812 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.292 * * * * [progress]: [ 813 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.292 * * * * [progress]: [ 814 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.292 * * * * [progress]: [ 815 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.292 * * * * [progress]: [ 816 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.292 * * * * [progress]: [ 817 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.292 * * * * [progress]: [ 818 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.292 * * * * [progress]: [ 819 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.292 * * * * [progress]: [ 820 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.293 * * * * [progress]: [ 821 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.293 * * * * [progress]: [ 822 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 823 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 824 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 825 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.293 * * * * [progress]: [ 826 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.293 * * * * [progress]: [ 827 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 828 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.293 * * * * [progress]: [ 829 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.293 * * * * [progress]: [ 830 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 831 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.293 * * * * [progress]: [ 832 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.293 * * * * [progress]: [ 833 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.293 * * * * [progress]: [ 834 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 835 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 836 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.293 * * * * [progress]: [ 837 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 838 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 839 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 840 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.294 * * * * [progress]: [ 841 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 842 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 843 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 844 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.294 * * * * [progress]: [ 845 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.294 * * * * [progress]: [ 846 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 847 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 848 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 849 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 850 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 851 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 852 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.294 * * * * [progress]: [ 853 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.294 * * * * [progress]: [ 854 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.294 * * * * [progress]: [ 855 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.295 * * * * [progress]: [ 856 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.295 * * * * [progress]: [ 857 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.295 * * * * [progress]: [ 858 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 859 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 860 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 861 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.295 * * * * [progress]: [ 862 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.295 * * * * [progress]: [ 863 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 864 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.295 * * * * [progress]: [ 865 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.295 * * * * [progress]: [ 866 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 867 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.295 * * * * [progress]: [ 868 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.295 * * * * [progress]: [ 869 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.295 * * * * [progress]: [ 870 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 871 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 872 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.295 * * * * [progress]: [ 873 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.296 * * * * [progress]: [ 874 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.296 * * * * [progress]: [ 875 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt 1)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.296 * * * * [progress]: [ 876 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.297 * * * * [progress]: [ 877 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.297 * * * * [progress]: [ 878 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.297 * * * * [progress]: [ 879 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.297 * * * * [progress]: [ 880 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.297 * * * * [progress]: [ 881 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow PI (/ k 2))))))>
15.297 * * * * [progress]: [ 882 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.297 * * * * [progress]: [ 883 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.297 * * * * [progress]: [ 884 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.297 * * * * [progress]: [ 885 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.297 * * * * [progress]: [ 886 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.298 * * * * [progress]: [ 887 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 888 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 889 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 890 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.298 * * * * [progress]: [ 891 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.298 * * * * [progress]: [ 892 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 893 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.298 * * * * [progress]: [ 894 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.298 * * * * [progress]: [ 895 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 896 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.298 * * * * [progress]: [ 897 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.298 * * * * [progress]: [ 898 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.298 * * * * [progress]: [ 899 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 900 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 901 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.298 * * * * [progress]: [ 902 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 903 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 904 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 905 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.299 * * * * [progress]: [ 906 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 907 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 908 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 909 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.299 * * * * [progress]: [ 910 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.299 * * * * [progress]: [ 911 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 912 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 913 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 914 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 915 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.299 * * * * [progress]: [ 916 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.299 * * * * [progress]: [ 917 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.300 * * * * [progress]: [ 918 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 919 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 920 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 921 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.300 * * * * [progress]: [ 922 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.300 * * * * [progress]: [ 923 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 924 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 925 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 926 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 927 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 928 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 929 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.300 * * * * [progress]: [ 930 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 931 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.300 * * * * [progress]: [ 932 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.300 * * * * [progress]: [ 933 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.300 * * * * [progress]: [ 934 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.301 * * * * [progress]: [ 935 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 936 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 937 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 938 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 939 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 940 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 941 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.301 * * * * [progress]: [ 942 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 943 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 944 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 945 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.301 * * * * [progress]: [ 946 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.301 * * * * [progress]: [ 947 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 948 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 949 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 950 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 951 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.301 * * * * [progress]: [ 952 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt 1)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.301 * * * * [progress]: [ 953 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.302 * * * * [progress]: [ 954 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 955 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 956 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 957 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 958 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ k 2))))))>
15.302 * * * * [progress]: [ 959 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 960 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 961 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 962 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.302 * * * * [progress]: [ 963 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.302 * * * * [progress]: [ 964 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 965 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 966 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 967 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 968 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 969 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 970 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.302 * * * * [progress]: [ 971 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 972 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.302 * * * * [progress]: [ 973 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.302 * * * * [progress]: [ 974 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.303 * * * * [progress]: [ 975 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.303 * * * * [progress]: [ 976 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 977 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 978 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 979 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 980 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 981 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 982 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.303 * * * * [progress]: [ 983 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 984 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 985 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 986 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.303 * * * * [progress]: [ 987 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.303 * * * * [progress]: [ 988 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 989 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 990 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.303 * * * * [progress]: [ 991 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 992 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.303 * * * * [progress]: [ 993 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 994 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.304 * * * * [progress]: [ 995 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 996 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 997 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 998 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.304 * * * * [progress]: [ 999 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.304 * * * * [progress]: [ 1000 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1001 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1002 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1003 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 1004 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 1005 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1006 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.304 * * * * [progress]: [ 1007 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 1008 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1009 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.304 * * * * [progress]: [ 1010 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.304 * * * * [progress]: [ 1011 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))))>
15.304 * * * * [progress]: [ 1012 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.304 * * * * [progress]: [ 1013 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1014 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1015 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1016 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1017 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1018 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.305 * * * * [progress]: [ 1019 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1020 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1021 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1022 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.305 * * * * [progress]: [ 1023 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))))))>
15.305 * * * * [progress]: [ 1024 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1025 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1026 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1027 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1028 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1029 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt 1)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1030 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.305 * * * * [progress]: [ 1031 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.305 * * * * [progress]: [ 1032 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ 1 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.305 * * * * [progress]: [ 1033 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.306 * * * * [progress]: [ 1034 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.306 * * * * [progress]: [ 1035 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt k) (sqrt (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (/ k 2))))))>
15.306 * * * * [progress]: [ 1036 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.306 * * * * [progress]: [ 1037 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.306 * * * * [progress]: [ 1038 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
15.306 * * * * [progress]: [ 1039 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1))) (* (cbrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1040 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1041 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt 1) (cbrt 1))) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1042 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1043 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (* (/ (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1044 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1045 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1046 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1047 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1048 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1049 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) 1/2)) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1050 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1051 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1)) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1052 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1053 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.306 * * * * [progress]: [ 1054 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt 1)) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1055 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1) (* (/ (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1056 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1057 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1058 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1059 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1060 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1061 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1062 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1063 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1064 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1065 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1066 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1067 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1068 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1069 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1070 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1071 / 1193 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1072 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.307 * * * * [progress]: [ 1073 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
15.307 * * * * [progress]: [ 1074 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1))>
15.307 * * * * [progress]: [ 1075 / 1193 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.307 * * * * [progress]: [ 1076 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
15.308 * * * * [progress]: [ 1077 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1))))>
15.308 * * * * [progress]: [ 1078 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1079 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (exp (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1080 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (log (exp (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1081 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1082 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1083 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (* (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1084 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ k (pow PI (- 1/2 (/ k 2))))))))>
15.308 * * * * [progress]: [ 1085 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1086 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (- (sqrt k)) (- (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1087 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1088 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1089 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1090 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1091 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1092 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1093 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1094 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.308 * * * * [progress]: [ 1095 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.308 * * * * [progress]: [ 1096 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.309 * * * * [progress]: [ 1097 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1098 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1099 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1100 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1101 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1102 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1103 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1104 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1105 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1106 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1107 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1)) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1108 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.309 * * * * [progress]: [ 1109 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1110 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1111 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.309 * * * * [progress]: [ 1112 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1113 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1114 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1115 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.309 * * * * [progress]: [ 1116 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1117 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1118 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1119 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1120 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.310 * * * * [progress]: [ 1121 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1122 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1123 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1124 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1125 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1126 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1127 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1128 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1129 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1130 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1131 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1132 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.310 * * * * [progress]: [ 1133 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1134 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) 1) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1135 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.310 * * * * [progress]: [ 1136 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.310 * * * * [progress]: [ 1137 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1138 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1139 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1140 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1141 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1142 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1143 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1144 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.311 * * * * [progress]: [ 1145 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1146 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1147 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1148 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1149 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1150 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1151 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1152 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1153 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1154 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1155 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt 1)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.311 * * * * [progress]: [ 1156 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))))>
15.311 * * * * [progress]: [ 1157 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.311 * * * * [progress]: [ 1158 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ 1 1) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1159 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1160 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1161 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))))>
15.312 * * * * [progress]: [ 1162 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1163 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow PI 1/2))) (sqrt (pow PI (- (/ k 2))))))))>
15.312 * * * * [progress]: [ 1164 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow PI 1/2))) (sqrt (pow PI (- (/ k 2))))))))>
15.312 * * * * [progress]: [ 1165 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>
15.312 * * * * [progress]: [ 1166 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))))))>
15.312 * * * * [progress]: [ 1167 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow 1 (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.312 * * * * [progress]: [ 1168 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1169 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1170 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt 1)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.312 * * * * [progress]: [ 1171 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))))>
15.312 * * * * [progress]: [ 1172 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
15.312 * * * * [progress]: [ 1173 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.312 * * * * [progress]: [ 1174 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
15.312 * * * * [progress]: [ 1175 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
15.312 * * * * [progress]: [ 1176 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
15.312 * * * * [progress]: [ 1177 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))))>
15.312 * * * * [progress]: [ 1178 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
15.312 * * * * [progress]: [ 1179 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))))>
15.313 * * * * [progress]: [ 1180 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (sqrt (pow PI 1/2))) (sqrt (pow PI (/ k 2)))))))>
15.313 * * * * [progress]: [ 1181 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (posit16->real (real->posit16 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))))>
15.313 * * * * [progress]: [ 1182 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))))))>
15.313 * * * * [progress]: [ 1183 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k))))))))>
15.313 * * * * [progress]: [ 1184 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k))))))))>
15.313 * * * * [progress]: [ 1185 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.313 * * * * [progress]: [ 1186 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.313 * * * * [progress]: [ 1187 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
15.313 * * * * [progress]: [ 1188 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt PI) (* k (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* PI (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))))) (- (* +nan.0 (* PI (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2))))))))))))))))))))))))))))))))))))))))))))))))))))>
15.313 * * * * [progress]: [ 1189 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) k)) (- (+ (* +nan.0 (/ (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2))) (pow k 2))) (- (* +nan.0 (/ (* (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (pow PI (- 1/2 (* 1/2 k))) 3))) (pow k 3)))))))))>
15.313 * * * * [progress]: [ 1190 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (/ 1 k) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))) (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))))))>
15.313 * * * * [progress]: [ 1191 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (/ (* (log PI) (pow k 3)) PI)) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (/ (pow k 2) PI)) (- (* +nan.0 (* (sqrt (/ 1 (pow PI 3))) (pow k 3)))))))))))))))))>
15.313 * * * * [progress]: [ 1192 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 3) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) k)))))))))))>
15.313 * * * * [progress]: [ 1193 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (* (/ 1 k) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))))))))))))>
15.338 * [simplify]: Simplifying:
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 0) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (- (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log 1)) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (+ (log (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (log (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (exp (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* 1 1) 1)) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (cbrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (sqrt (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* 1 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (* (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) 1)))
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  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI 1/2)))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow 1 (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt 1))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt 1) 1)))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI 1/2)))))
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  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) 1)
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt k) (sqrt (pow PI 1/2)))
  (real->posit16 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt PI) (* k (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (sqrt PI) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* PI (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt (pow PI 3)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2))))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (sqrt PI))) (- (+ (* +nan.0 (* PI (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log PI) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))))) (- (* +nan.0 (* PI (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))))))))))))))))))))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) k)) (- (+ (* +nan.0 (/ (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2))) (pow k 2))) (- (* +nan.0 (/ (* (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3) (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (pow PI (- 1/2 (* 1/2 k))) 3))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (/ 1 k) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))) (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))))))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (/ (* (log PI) (pow k 3)) PI)) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (/ (pow k 2) PI)) (- (* +nan.0 (* (sqrt (/ 1 (pow PI 3))) (pow k 3))))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 3) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ 1 (* (pow (pow PI (- 1/2 (* 1/2 k))) 2) k))))))))
  (- (+ (* +nan.0 (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (* (/ 1 k) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (* (/ 1 (pow k 2)) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))))))))
15.404 * * [simplify]: iteration 0: 1555 enodes
17.079 * * [simplify]: iteration complete: 5000 enodes
17.080 * * [simplify]: Extracting #0: cost 607 inf + 0
17.089 * * [simplify]: Extracting #1: cost 2159 inf + 43
17.103 * * [simplify]: Extracting #2: cost 2595 inf + 1125
17.137 * * [simplify]: Extracting #3: cost 2446 inf + 61324
17.210 * * [simplify]: Extracting #4: cost 1849 inf + 388004
17.399 * * [simplify]: Extracting #5: cost 932 inf + 1149836
17.637 * * [simplify]: Extracting #6: cost 233 inf + 1840282
17.955 * * [simplify]: Extracting #7: cost 159 inf + 1945059
18.168 * * [simplify]: Extracting #8: cost 155 inf + 1955292
18.440 * * [simplify]: Extracting #9: cost 139 inf + 1974236
18.715 * * [simplify]: Extracting #10: cost 119 inf + 1985999
19.024 * * [simplify]: Extracting #11: cost 109 inf + 1999292
19.285 * * [simplify]: Extracting #12: cost 93 inf + 2016584
19.584 * * [simplify]: Extracting #13: cost 75 inf + 2044601
19.818 * * [simplify]: Extracting #14: cost 63 inf + 2059561
20.100 * * [simplify]: Extracting #15: cost 48 inf + 2074476
20.369 * * [simplify]: Extracting #16: cost 45 inf + 2081303
20.689 * * [simplify]: Extracting #17: cost 47 inf + 2085423
20.968 * * [simplify]: Extracting #18: cost 38 inf + 2096247
21.260 * * [simplify]: Extracting #19: cost 36 inf + 2102048
22.003 * * [simplify]: Extracting #20: cost 40 inf + 2103034
22.376 * * [simplify]: Extracting #21: cost 44 inf + 2104595
22.682 * * [simplify]: Extracting #22: cost 42 inf + 2108352
22.965 * * [simplify]: Extracting #23: cost 49 inf + 2108352
23.213 * * [simplify]: Extracting #24: cost 51 inf + 2110247
23.550 * * [simplify]: Extracting #25: cost 52 inf + 2114929
23.864 * * [simplify]: Extracting #26: cost 56 inf + 2115011
24.215 * * [simplify]: Extracting #27: cost 58 inf + 2116102
24.581 * * [simplify]: Extracting #28: cost 52 inf + 2123164
24.952 * * [simplify]: Extracting #29: cost 52 inf + 2126640
25.249 * * [simplify]: Extracting #30: cost 51 inf + 2129803
25.569 * * [simplify]: Extracting #31: cost 53 inf + 2131739
25.833 * * [simplify]: Extracting #32: cost 58 inf + 2131739
26.132 * * [simplify]: Extracting #33: cost 62 inf + 2133451
26.455 * * [simplify]: Extracting #34: cost 60 inf + 2137800
26.817 * * [simplify]: Extracting #35: cost 62 inf + 2141928
27.154 * * [simplify]: Extracting #36: cost 61 inf + 2144710
27.492 * * [simplify]: Extracting #37: cost 63 inf + 2147581
27.732 * * [simplify]: Extracting #38: cost 67 inf + 2147663
27.968 * * [simplify]: Extracting #39: cost 67 inf + 2150580
28.268 * * [simplify]: Extracting #40: cost 70 inf + 2151458
28.557 * * [simplify]: Extracting #41: cost 74 inf + 2152338
28.806 * * [simplify]: Extracting #42: cost 77 inf + 2155188
29.066 * * [simplify]: Extracting #43: cost 81 inf + 2156598
29.391 * * [simplify]: Extracting #44: cost 82 inf + 2158182
29.737 * * [simplify]: Extracting #45: cost 85 inf + 2160871
30.063 * * [simplify]: Extracting #46: cost 86 inf + 2164688
30.345 * * [simplify]: Extracting #47: cost 78 inf + 2170665
30.624 * * [simplify]: Extracting #48: cost 67 inf + 2179454
30.911 * * [simplify]: Extracting #49: cost 63 inf + 2184057
31.241 * * [simplify]: Extracting #50: cost 60 inf + 2188725
31.506 * * [simplify]: Extracting #51: cost 52 inf + 2206653
31.757 * * [simplify]: Extracting #52: cost 51 inf + 2209299
32.121 * * [simplify]: Extracting #53: cost 47 inf + 2220763
32.455 * * [simplify]: Extracting #54: cost 43 inf + 2233827
32.736 * * [simplify]: Extracting #55: cost 40 inf + 2244525
33.000 * * [simplify]: Extracting #56: cost 35 inf + 2263755
33.318 * * [simplify]: Extracting #57: cost 31 inf + 2280219
33.678 * * [simplify]: Extracting #58: cost 29 inf + 2288751
33.975 * * [simplify]: Extracting #59: cost 26 inf + 2302369
34.384 * * [simplify]: Extracting #60: cost 24 inf + 2311541
34.799 * * [simplify]: Extracting #61: cost 22 inf + 2321033
35.257 * * [simplify]: Extracting #62: cost 19 inf + 2335731
35.662 * * [simplify]: Extracting #63: cost 13 inf + 2367167
36.134 * * [simplify]: Extracting #64: cost 12 inf + 2372453
36.576 * * [simplify]: Extracting #65: cost 10 inf + 2383705
37.039 * * [simplify]: Extracting #66: cost 7 inf + 2401203
37.547 * * [simplify]: Extracting #67: cost 5 inf + 2413215
37.971 * * [simplify]: Extracting #68: cost 3 inf + 2425747
38.488 * * [simplify]: Extracting #69: cost 0 inf + 2445285
38.958 * * [simplify]: Extracting #70: cost 0 inf + 2445165
39.550 * [simplify]: Simplified to:
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* n (* n n)) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n 2) (* n 2)) (* (* n 2) (* (* PI PI) PI)))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* (* n 2) (cbrt PI)) (cbrt PI))
  (* n (* 2 (sqrt PI)))
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (log (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (exp (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (/ k (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (/ k (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (cbrt (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (cbrt (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (sqrt (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (sqrt (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (/ (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))
  (/ (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))))
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  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
  (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))))
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  (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
  (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))
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  (/ 1 (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))
  (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt 1))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (fabs (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ 1 (sqrt 1))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  1
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ (sqrt k) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (/ (sqrt k) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) (fabs (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt k) (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (sqrt k)
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt k) (sqrt (sqrt PI)))
  (real->posit16 (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (+ (sqrt PI) (- (* 1/8 (* (* (* (log PI) (log PI)) (* k k)) (sqrt PI))) (* 1/2 (* (log PI) (* k (sqrt PI))))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (* (* 2 n) PI)
  (* (* 2 n) PI)
  (* (* 2 n) PI)
  (- (+ (* +nan.0 (* (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (* (log PI) (* (exp (* 1/2 (log (* (* n 2) PI)))) (* k k)))) (sqrt PI))) (- (+ (* (* +nan.0 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* (* n 2) PI))))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (* (log PI) (log PI)) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (log 2) (log (* 2 PI))) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 PI) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI))))) (log n)) (* k k)))) (- (+ (* (* +nan.0 (sqrt PI)) (* k (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (log (* 2 PI))))) (- (+ (* (* +nan.0 (* (exp (* 1/2 (log (* (* n 2) PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (* (log n) (* k k))))) (sqrt PI)) (- (+ (* (* +nan.0 (sqrt PI)) (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI)))))) (- (+ (* +nan.0 (* (* (log 2) (log 2)) (* (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* k k)) (sqrt PI)))) (- (+ (* (* +nan.0 (* (log (* 2 PI)) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* (log n) (* k k))))) (sqrt PI)) (- (+ (* (* +nan.0 (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* (* (log n) (log n)) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 (sqrt PI)) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* (* (log n) (log n)) (* k k)))) (- (+ (* (* +nan.0 (* (log 2) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* (log n) (* k k))))) (sqrt PI)) (- (+ (* (* +nan.0 PI) (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI)))))) k)) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (log (* 2 PI))) (* (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* k k)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (log PI) k)) (sqrt PI))) (- (+ (* (* +nan.0 (sqrt PI)) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (* (exp (* 1/2 (log (* (* n 2) PI)))) (* (log n) (* k k))))) (- (+ (* (* +nan.0 (sqrt PI)) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) (* (log n) k))) (- (+ (* (* +nan.0 (log 2)) (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI)))))) (* PI (* k k)))) (- (+ (* (* +nan.0 (sqrt (* (* PI PI) PI))) (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (exp (* 1/2 (+ (log 2) (log n))))) (* (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI))))) (exp (* 1/2 (log (* (* n 2) PI))))) (* k k)))) (- (+ (* (* +nan.0 (* (log 2) (* (exp (+ (* 1/2 (+ (log 2) (log n))) (* 1/2 (log (* (* n 2) PI))))) k))) (sqrt PI)) (- (+ (* (* +nan.0 PI) (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (log PI)) (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI))))) (* k k)))) (- (* (* +nan.0 PI) (* (log (* 2 PI)) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log 2) (log n))))) (* (* (exp (* 1/2 (log (* (* n 2) PI)))) (exp (* 1/2 (log (* (* n 2) PI))))) (* k k))))))))))))))))))))))))))))))))))))))))))))))))))
  (- (+ (/ (* +nan.0 (* (pow PI (- 1/2 (* 1/2 k))) (exp (+ (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n)))) (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))))) k) (- (+ (* +nan.0 (/ (* (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))))) (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))))) (* k k))) (- (/ (* +nan.0 (* (* (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (* (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n)))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n)))))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) (* (* k k) k)))))))
  (- (+ (* (* +nan.0 (/ 1 k)) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))) (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* (* +nan.0 (/ 1 (* k k))) (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (/ (* (log PI) (* (* k k) k)) PI)) (- (+ (* +nan.0 (* (* (log PI) (log PI)) (* (* (* k k) k) (sqrt (/ 1 PI))))) (- (+ (* +nan.0 (* (* (log PI) (* k k)) (sqrt (/ 1 PI)))) (- (+ (/ (* +nan.0 (* k k)) PI) (* +nan.0 (- (* (sqrt (/ 1 (* (* PI PI) PI))) (* (* k k) k))))))))))))))
  (- (+ (/ (* +nan.0 1) (* (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* k k))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ 1 (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) k))))))))
  (- (+ (* +nan.0 (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (* (/ 1 k) (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k))))))) (* +nan.0 (- (/ (* 1 (sqrt (/ 1 (pow PI (- 1/2 (* 1/2 k)))))) (* k k))))))))
39.833 * * * [progress]: adding candidates to table
46.718 * * [progress]: iteration 4 / 4
46.718 * * * [progress]: picking best candidate
46.784 * * * * [pick]: Picked  #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
46.784 * * * [progress]: localizing error
46.845 * * * [progress]: generating rewritten candidates
46.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
46.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1)
46.885 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
46.902 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
46.941 * * * [progress]: generating series expansions
46.941 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
46.941 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
46.941 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
46.941 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
46.941 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
46.941 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
46.941 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
46.941 * [taylor]: Taking taylor expansion of 1/2 in k
46.942 * [backup-simplify]: Simplify 1/2 into 1/2
46.942 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
46.942 * [taylor]: Taking taylor expansion of 1/2 in k
46.942 * [backup-simplify]: Simplify 1/2 into 1/2
46.942 * [taylor]: Taking taylor expansion of k in k
46.942 * [backup-simplify]: Simplify 0 into 0
46.942 * [backup-simplify]: Simplify 1 into 1
46.942 * [taylor]: Taking taylor expansion of (log PI) in k
46.942 * [taylor]: Taking taylor expansion of PI in k
46.942 * [backup-simplify]: Simplify PI into PI
46.942 * [backup-simplify]: Simplify (log PI) into (log PI)
46.943 * [backup-simplify]: Simplify (* 1/2 0) into 0
46.943 * [backup-simplify]: Simplify (- 0) into 0
46.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
46.945 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
46.946 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
46.946 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
46.946 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
46.946 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
46.946 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
46.946 * [taylor]: Taking taylor expansion of 1/2 in k
46.946 * [backup-simplify]: Simplify 1/2 into 1/2
46.946 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
46.947 * [taylor]: Taking taylor expansion of 1/2 in k
46.947 * [backup-simplify]: Simplify 1/2 into 1/2
46.947 * [taylor]: Taking taylor expansion of k in k
46.947 * [backup-simplify]: Simplify 0 into 0
46.947 * [backup-simplify]: Simplify 1 into 1
46.947 * [taylor]: Taking taylor expansion of (log PI) in k
46.947 * [taylor]: Taking taylor expansion of PI in k
46.947 * [backup-simplify]: Simplify PI into PI
46.947 * [backup-simplify]: Simplify (log PI) into (log PI)
46.947 * [backup-simplify]: Simplify (* 1/2 0) into 0
46.948 * [backup-simplify]: Simplify (- 0) into 0
46.948 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
46.949 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
46.951 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
46.951 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
46.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
46.954 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
46.954 * [backup-simplify]: Simplify (- 1/2) into -1/2
46.954 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
46.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
46.966 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
46.969 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
46.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
46.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
46.974 * [backup-simplify]: Simplify (- 0) into 0
46.975 * [backup-simplify]: Simplify (+ 0 0) into 0
46.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
46.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
46.990 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
46.996 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
46.997 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
46.997 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
46.997 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
46.997 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
46.997 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
46.997 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
46.997 * [taylor]: Taking taylor expansion of 1/2 in k
46.997 * [backup-simplify]: Simplify 1/2 into 1/2
46.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
46.997 * [taylor]: Taking taylor expansion of 1/2 in k
46.997 * [backup-simplify]: Simplify 1/2 into 1/2
46.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.997 * [taylor]: Taking taylor expansion of k in k
46.997 * [backup-simplify]: Simplify 0 into 0
46.997 * [backup-simplify]: Simplify 1 into 1
46.997 * [backup-simplify]: Simplify (/ 1 1) into 1
46.997 * [taylor]: Taking taylor expansion of (log PI) in k
46.997 * [taylor]: Taking taylor expansion of PI in k
46.997 * [backup-simplify]: Simplify PI into PI
46.998 * [backup-simplify]: Simplify (log PI) into (log PI)
46.998 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
46.999 * [backup-simplify]: Simplify (- 1/2) into -1/2
46.999 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.000 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
47.000 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
47.001 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
47.001 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
47.001 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
47.001 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.001 * [taylor]: Taking taylor expansion of 1/2 in k
47.001 * [backup-simplify]: Simplify 1/2 into 1/2
47.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.001 * [taylor]: Taking taylor expansion of 1/2 in k
47.001 * [backup-simplify]: Simplify 1/2 into 1/2
47.001 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.001 * [taylor]: Taking taylor expansion of k in k
47.001 * [backup-simplify]: Simplify 0 into 0
47.001 * [backup-simplify]: Simplify 1 into 1
47.001 * [backup-simplify]: Simplify (/ 1 1) into 1
47.001 * [taylor]: Taking taylor expansion of (log PI) in k
47.001 * [taylor]: Taking taylor expansion of PI in k
47.001 * [backup-simplify]: Simplify PI into PI
47.002 * [backup-simplify]: Simplify (log PI) into (log PI)
47.002 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.002 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.003 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.004 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
47.004 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
47.005 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
47.006 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
47.006 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
47.006 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
47.006 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
47.006 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
47.006 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.006 * [taylor]: Taking taylor expansion of 1/2 in k
47.006 * [backup-simplify]: Simplify 1/2 into 1/2
47.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.006 * [taylor]: Taking taylor expansion of k in k
47.006 * [backup-simplify]: Simplify 0 into 0
47.006 * [backup-simplify]: Simplify 1 into 1
47.007 * [backup-simplify]: Simplify (/ 1 1) into 1
47.007 * [taylor]: Taking taylor expansion of 1/2 in k
47.007 * [backup-simplify]: Simplify 1/2 into 1/2
47.007 * [taylor]: Taking taylor expansion of (log PI) in k
47.007 * [taylor]: Taking taylor expansion of PI in k
47.007 * [backup-simplify]: Simplify PI into PI
47.008 * [backup-simplify]: Simplify (log PI) into (log PI)
47.008 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.009 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.010 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
47.011 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
47.011 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
47.011 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
47.011 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
47.011 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.011 * [taylor]: Taking taylor expansion of 1/2 in k
47.011 * [backup-simplify]: Simplify 1/2 into 1/2
47.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.011 * [taylor]: Taking taylor expansion of k in k
47.011 * [backup-simplify]: Simplify 0 into 0
47.011 * [backup-simplify]: Simplify 1 into 1
47.011 * [backup-simplify]: Simplify (/ 1 1) into 1
47.011 * [taylor]: Taking taylor expansion of 1/2 in k
47.011 * [backup-simplify]: Simplify 1/2 into 1/2
47.012 * [taylor]: Taking taylor expansion of (log PI) in k
47.012 * [taylor]: Taking taylor expansion of PI in k
47.012 * [backup-simplify]: Simplify PI into PI
47.012 * [backup-simplify]: Simplify (log PI) into (log PI)
47.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.013 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.014 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
47.015 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
47.015 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
47.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1)
47.015 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
47.015 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
47.015 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.015 * [taylor]: Taking taylor expansion of 2 in n
47.015 * [backup-simplify]: Simplify 2 into 2
47.016 * [taylor]: Taking taylor expansion of (* n PI) in n
47.016 * [taylor]: Taking taylor expansion of n in n
47.016 * [backup-simplify]: Simplify 0 into 0
47.016 * [backup-simplify]: Simplify 1 into 1
47.016 * [taylor]: Taking taylor expansion of PI in n
47.016 * [backup-simplify]: Simplify PI into PI
47.016 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.016 * [taylor]: Taking taylor expansion of 2 in n
47.016 * [backup-simplify]: Simplify 2 into 2
47.016 * [taylor]: Taking taylor expansion of (* n PI) in n
47.016 * [taylor]: Taking taylor expansion of n in n
47.016 * [backup-simplify]: Simplify 0 into 0
47.016 * [backup-simplify]: Simplify 1 into 1
47.016 * [taylor]: Taking taylor expansion of PI in n
47.016 * [backup-simplify]: Simplify PI into PI
47.017 * [backup-simplify]: Simplify (* 0 PI) into 0
47.017 * [backup-simplify]: Simplify (* 2 0) into 0
47.017 * [backup-simplify]: Simplify 0 into 0
47.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.020 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.021 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.023 * [backup-simplify]: Simplify 0 into 0
47.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
47.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
47.026 * [backup-simplify]: Simplify 0 into 0
47.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
47.028 * [backup-simplify]: Simplify 0 into 0
47.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
47.032 * [backup-simplify]: Simplify 0 into 0
47.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
47.035 * [backup-simplify]: Simplify 0 into 0
47.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
47.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
47.048 * [backup-simplify]: Simplify 0 into 0
47.049 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
47.049 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
47.049 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
47.049 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.049 * [taylor]: Taking taylor expansion of 2 in n
47.049 * [backup-simplify]: Simplify 2 into 2
47.049 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.049 * [taylor]: Taking taylor expansion of PI in n
47.049 * [backup-simplify]: Simplify PI into PI
47.049 * [taylor]: Taking taylor expansion of n in n
47.049 * [backup-simplify]: Simplify 0 into 0
47.049 * [backup-simplify]: Simplify 1 into 1
47.050 * [backup-simplify]: Simplify (/ PI 1) into PI
47.050 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.050 * [taylor]: Taking taylor expansion of 2 in n
47.050 * [backup-simplify]: Simplify 2 into 2
47.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.050 * [taylor]: Taking taylor expansion of PI in n
47.050 * [backup-simplify]: Simplify PI into PI
47.050 * [taylor]: Taking taylor expansion of n in n
47.050 * [backup-simplify]: Simplify 0 into 0
47.050 * [backup-simplify]: Simplify 1 into 1
47.050 * [backup-simplify]: Simplify (/ PI 1) into PI
47.051 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.051 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.053 * [backup-simplify]: Simplify 0 into 0
47.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.054 * [backup-simplify]: Simplify 0 into 0
47.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.055 * [backup-simplify]: Simplify 0 into 0
47.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.057 * [backup-simplify]: Simplify 0 into 0
47.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.058 * [backup-simplify]: Simplify 0 into 0
47.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.060 * [backup-simplify]: Simplify 0 into 0
47.060 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
47.060 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
47.060 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
47.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.060 * [taylor]: Taking taylor expansion of -2 in n
47.060 * [backup-simplify]: Simplify -2 into -2
47.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.060 * [taylor]: Taking taylor expansion of PI in n
47.060 * [backup-simplify]: Simplify PI into PI
47.061 * [taylor]: Taking taylor expansion of n in n
47.061 * [backup-simplify]: Simplify 0 into 0
47.061 * [backup-simplify]: Simplify 1 into 1
47.061 * [backup-simplify]: Simplify (/ PI 1) into PI
47.061 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.061 * [taylor]: Taking taylor expansion of -2 in n
47.061 * [backup-simplify]: Simplify -2 into -2
47.061 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.061 * [taylor]: Taking taylor expansion of PI in n
47.061 * [backup-simplify]: Simplify PI into PI
47.061 * [taylor]: Taking taylor expansion of n in n
47.061 * [backup-simplify]: Simplify 0 into 0
47.061 * [backup-simplify]: Simplify 1 into 1
47.061 * [backup-simplify]: Simplify (/ PI 1) into PI
47.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.063 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.063 * [backup-simplify]: Simplify 0 into 0
47.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.064 * [backup-simplify]: Simplify 0 into 0
47.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.066 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.066 * [backup-simplify]: Simplify 0 into 0
47.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.067 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.067 * [backup-simplify]: Simplify 0 into 0
47.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.069 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.069 * [backup-simplify]: Simplify 0 into 0
47.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.070 * [backup-simplify]: Simplify 0 into 0
47.071 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
47.071 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
47.071 * [backup-simplify]: Simplify (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) into (sqrt (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k))
47.071 * [approximate]: Taking taylor expansion of (sqrt (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k)) in (n k) around 0
47.071 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k)) in k
47.071 * [taylor]: Taking taylor expansion of (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k) in k
47.071 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
47.071 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
47.071 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
47.071 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.071 * [taylor]: Taking taylor expansion of 1/2 in k
47.071 * [backup-simplify]: Simplify 1/2 into 1/2
47.071 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.071 * [taylor]: Taking taylor expansion of 1/2 in k
47.071 * [backup-simplify]: Simplify 1/2 into 1/2
47.071 * [taylor]: Taking taylor expansion of k in k
47.071 * [backup-simplify]: Simplify 0 into 0
47.071 * [backup-simplify]: Simplify 1 into 1
47.071 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
47.071 * [taylor]: Taking taylor expansion of (* 2 n) in k
47.071 * [taylor]: Taking taylor expansion of 2 in k
47.071 * [backup-simplify]: Simplify 2 into 2
47.071 * [taylor]: Taking taylor expansion of n in k
47.071 * [backup-simplify]: Simplify n into n
47.071 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
47.071 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
47.072 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.072 * [backup-simplify]: Simplify (- 0) into 0
47.072 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.072 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
47.072 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
47.072 * [taylor]: Taking taylor expansion of k in k
47.072 * [backup-simplify]: Simplify 0 into 0
47.072 * [backup-simplify]: Simplify 1 into 1
47.072 * [backup-simplify]: Simplify (/ (pow (* 2 n) 1/2) 1) into (sqrt (* n 2))
47.073 * [backup-simplify]: Simplify (sqrt 0) into 0
47.073 * [backup-simplify]: Simplify (/ (sqrt (* n 2)) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt n)))
47.073 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k)) in n
47.073 * [taylor]: Taking taylor expansion of (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k) in n
47.073 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
47.073 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
47.073 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
47.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.073 * [taylor]: Taking taylor expansion of 1/2 in n
47.073 * [backup-simplify]: Simplify 1/2 into 1/2
47.073 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.073 * [taylor]: Taking taylor expansion of 1/2 in n
47.073 * [backup-simplify]: Simplify 1/2 into 1/2
47.073 * [taylor]: Taking taylor expansion of k in n
47.073 * [backup-simplify]: Simplify k into k
47.073 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
47.073 * [taylor]: Taking taylor expansion of (* 2 n) in n
47.073 * [taylor]: Taking taylor expansion of 2 in n
47.073 * [backup-simplify]: Simplify 2 into 2
47.073 * [taylor]: Taking taylor expansion of n in n
47.073 * [backup-simplify]: Simplify 0 into 0
47.073 * [backup-simplify]: Simplify 1 into 1
47.074 * [backup-simplify]: Simplify (* 2 0) into 0
47.074 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
47.074 * [backup-simplify]: Simplify (log 2) into (log 2)
47.074 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.074 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.074 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.075 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.075 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
47.076 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
47.076 * [taylor]: Taking taylor expansion of k in n
47.076 * [backup-simplify]: Simplify k into k
47.076 * [backup-simplify]: Simplify (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) into (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)
47.077 * [backup-simplify]: Simplify (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)) into (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k))
47.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
47.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.078 * [backup-simplify]: Simplify (- 0) into 0
47.079 * [backup-simplify]: Simplify (+ 0 0) into 0
47.079 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.079 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
47.080 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.081 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) (/ 0 k)))) into 0
47.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)))) into 0
47.081 * [taylor]: Taking taylor expansion of (sqrt (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k)) in n
47.081 * [taylor]: Taking taylor expansion of (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) k) in n
47.081 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
47.081 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
47.081 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
47.081 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.081 * [taylor]: Taking taylor expansion of 1/2 in n
47.081 * [backup-simplify]: Simplify 1/2 into 1/2
47.081 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.081 * [taylor]: Taking taylor expansion of 1/2 in n
47.081 * [backup-simplify]: Simplify 1/2 into 1/2
47.081 * [taylor]: Taking taylor expansion of k in n
47.081 * [backup-simplify]: Simplify k into k
47.081 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
47.081 * [taylor]: Taking taylor expansion of (* 2 n) in n
47.081 * [taylor]: Taking taylor expansion of 2 in n
47.081 * [backup-simplify]: Simplify 2 into 2
47.081 * [taylor]: Taking taylor expansion of n in n
47.081 * [backup-simplify]: Simplify 0 into 0
47.081 * [backup-simplify]: Simplify 1 into 1
47.082 * [backup-simplify]: Simplify (* 2 0) into 0
47.082 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
47.082 * [backup-simplify]: Simplify (log 2) into (log 2)
47.082 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.082 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.082 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.083 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
47.084 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
47.084 * [taylor]: Taking taylor expansion of k in n
47.084 * [backup-simplify]: Simplify k into k
47.084 * [backup-simplify]: Simplify (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) into (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)
47.084 * [backup-simplify]: Simplify (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)) into (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k))
47.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
47.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.086 * [backup-simplify]: Simplify (- 0) into 0
47.086 * [backup-simplify]: Simplify (+ 0 0) into 0
47.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.087 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
47.088 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.089 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) (/ 0 k)))) into 0
47.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)))) into 0
47.090 * [taylor]: Taking taylor expansion of (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)) in k
47.090 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) in k
47.090 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
47.090 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
47.090 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
47.090 * [taylor]: Taking taylor expansion of (log 2) in k
47.090 * [taylor]: Taking taylor expansion of 2 in k
47.090 * [backup-simplify]: Simplify 2 into 2
47.090 * [backup-simplify]: Simplify (log 2) into (log 2)
47.090 * [taylor]: Taking taylor expansion of (log n) in k
47.090 * [taylor]: Taking taylor expansion of n in k
47.090 * [backup-simplify]: Simplify n into n
47.090 * [backup-simplify]: Simplify (log n) into (log n)
47.090 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.090 * [taylor]: Taking taylor expansion of 1/2 in k
47.090 * [backup-simplify]: Simplify 1/2 into 1/2
47.090 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.090 * [taylor]: Taking taylor expansion of 1/2 in k
47.090 * [backup-simplify]: Simplify 1/2 into 1/2
47.090 * [taylor]: Taking taylor expansion of k in k
47.090 * [backup-simplify]: Simplify 0 into 0
47.090 * [backup-simplify]: Simplify 1 into 1
47.091 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
47.091 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.092 * [backup-simplify]: Simplify (- 0) into 0
47.092 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.093 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
47.093 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
47.093 * [taylor]: Taking taylor expansion of k in k
47.093 * [backup-simplify]: Simplify 0 into 0
47.093 * [backup-simplify]: Simplify 1 into 1
47.094 * [backup-simplify]: Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) 1) into (exp (* 1/2 (+ (log 2) (log n))))
47.094 * [backup-simplify]: Simplify (sqrt 0) into 0
47.095 * [backup-simplify]: Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))
47.095 * [backup-simplify]: Simplify 0 into 0
47.095 * [taylor]: Taking taylor expansion of 0 in k
47.095 * [backup-simplify]: Simplify 0 into 0
47.096 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) into (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))
47.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
47.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
47.101 * [backup-simplify]: Simplify (- 0) into 0
47.101 * [backup-simplify]: Simplify (+ 0 0) into 0
47.102 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.103 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
47.105 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.105 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)))) into 0
47.107 * [taylor]: Taking taylor expansion of 0 in k
47.107 * [backup-simplify]: Simplify 0 into 0
47.107 * [backup-simplify]: Simplify 0 into 0
47.108 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
47.108 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.108 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
47.111 * [backup-simplify]: Simplify (+ 0 0) into 0
47.112 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
47.114 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
47.116 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (/ 0 1)))) into (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))
47.119 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))) (pow (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 2)))))
47.121 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))))) into (* +nan.0 (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))) (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))))
47.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
47.128 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
47.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
47.129 * [backup-simplify]: Simplify (- 0) into 0
47.130 * [backup-simplify]: Simplify (+ 0 0) into 0
47.131 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.132 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
47.134 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.135 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) k)))) into 0
47.136 * [taylor]: Taking taylor expansion of 0 in k
47.136 * [backup-simplify]: Simplify 0 into 0
47.136 * [backup-simplify]: Simplify 0 into 0
47.136 * [backup-simplify]: Simplify 0 into 0
47.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
47.138 * [backup-simplify]: Simplify (- 0) into 0
47.138 * [backup-simplify]: Simplify (+ 0 0) into 0
47.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
47.143 * [backup-simplify]: Simplify (+ 0 0) into 0
47.144 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
47.147 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
47.152 * [backup-simplify]: Simplify (- (/ (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (/ 0 1)) (* (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))) (/ 0 1)))) into (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))
47.158 * [backup-simplify]: Simplify (/ (- (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))) (+ (* 2 (* (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (* +nan.0 (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))) (+ (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 3)) (- (+ (* +nan.0 (* (log 2) (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (log n)))))))))
47.172 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))) (+ (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 3)) (- (+ (* +nan.0 (* (log 2) (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (log n))))))))) into (* +nan.0 (- (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))) (+ (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 3)) (- (+ (* +nan.0 (* (log 2) (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (log n)))))))))
47.182 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))) (+ (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 3)) (- (+ (* +nan.0 (* (log 2) (pow (exp (* 1/2 (+ (log 2) (log n)))) 2))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (log n))))))))) (pow (* k 1) 2)) (+ (* (* +nan.0 (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))) (* +nan.0 (pow (exp (* 1/2 (+ (log 2) (log n)))) 2)))) (* k 1)) (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))))) into (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow k 2))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log n) (pow k 2)))))))))))))))))))))))
47.182 * [backup-simplify]: Simplify (/ (sqrt (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (sqrt (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k))
47.182 * [approximate]: Taking taylor expansion of (sqrt (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k)) in (n k) around 0
47.183 * [taylor]: Taking taylor expansion of (sqrt (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k)) in k
47.183 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k) in k
47.183 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
47.183 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
47.183 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
47.183 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.183 * [taylor]: Taking taylor expansion of 1/2 in k
47.183 * [backup-simplify]: Simplify 1/2 into 1/2
47.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.183 * [taylor]: Taking taylor expansion of 1/2 in k
47.183 * [backup-simplify]: Simplify 1/2 into 1/2
47.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.183 * [taylor]: Taking taylor expansion of k in k
47.183 * [backup-simplify]: Simplify 0 into 0
47.183 * [backup-simplify]: Simplify 1 into 1
47.183 * [backup-simplify]: Simplify (/ 1 1) into 1
47.183 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
47.183 * [taylor]: Taking taylor expansion of (/ 2 n) in k
47.183 * [taylor]: Taking taylor expansion of 2 in k
47.183 * [backup-simplify]: Simplify 2 into 2
47.183 * [taylor]: Taking taylor expansion of n in k
47.183 * [backup-simplify]: Simplify n into n
47.184 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
47.184 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
47.184 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.184 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.185 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.185 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
47.186 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
47.186 * [taylor]: Taking taylor expansion of k in k
47.186 * [backup-simplify]: Simplify 0 into 0
47.186 * [backup-simplify]: Simplify 1 into 1
47.186 * [backup-simplify]: Simplify (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
47.186 * [backup-simplify]: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1) (* 0 0)) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
47.187 * [backup-simplify]: Simplify (sqrt 0) into 0
47.187 * [backup-simplify]: Simplify (/ (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (* 2 (sqrt 0))) into (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))
47.187 * [taylor]: Taking taylor expansion of (sqrt (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k)) in n
47.188 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k) in n
47.188 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.188 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
47.188 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
47.188 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.188 * [taylor]: Taking taylor expansion of 1/2 in n
47.188 * [backup-simplify]: Simplify 1/2 into 1/2
47.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.188 * [taylor]: Taking taylor expansion of 1/2 in n
47.188 * [backup-simplify]: Simplify 1/2 into 1/2
47.188 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.188 * [taylor]: Taking taylor expansion of k in n
47.188 * [backup-simplify]: Simplify k into k
47.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.188 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
47.188 * [taylor]: Taking taylor expansion of (/ 2 n) in n
47.188 * [taylor]: Taking taylor expansion of 2 in n
47.188 * [backup-simplify]: Simplify 2 into 2
47.188 * [taylor]: Taking taylor expansion of n in n
47.188 * [backup-simplify]: Simplify 0 into 0
47.188 * [backup-simplify]: Simplify 1 into 1
47.189 * [backup-simplify]: Simplify (/ 2 1) into 2
47.189 * [backup-simplify]: Simplify (log 2) into (log 2)
47.189 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.189 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.189 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.191 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
47.191 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.191 * [taylor]: Taking taylor expansion of k in n
47.191 * [backup-simplify]: Simplify k into k
47.192 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k) into (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.192 * [backup-simplify]: Simplify (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
47.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
47.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.196 * [backup-simplify]: Simplify (- 0) into 0
47.196 * [backup-simplify]: Simplify (+ 0 0) into 0
47.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.197 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
47.199 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.199 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 k)) into 0
47.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.200 * [taylor]: Taking taylor expansion of (sqrt (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k)) in n
47.200 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) k) in n
47.200 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.200 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
47.200 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
47.200 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.200 * [taylor]: Taking taylor expansion of 1/2 in n
47.200 * [backup-simplify]: Simplify 1/2 into 1/2
47.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.200 * [taylor]: Taking taylor expansion of 1/2 in n
47.200 * [backup-simplify]: Simplify 1/2 into 1/2
47.200 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.200 * [taylor]: Taking taylor expansion of k in n
47.200 * [backup-simplify]: Simplify k into k
47.200 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.200 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
47.200 * [taylor]: Taking taylor expansion of (/ 2 n) in n
47.200 * [taylor]: Taking taylor expansion of 2 in n
47.200 * [backup-simplify]: Simplify 2 into 2
47.200 * [taylor]: Taking taylor expansion of n in n
47.200 * [backup-simplify]: Simplify 0 into 0
47.200 * [backup-simplify]: Simplify 1 into 1
47.201 * [backup-simplify]: Simplify (/ 2 1) into 2
47.201 * [backup-simplify]: Simplify (log 2) into (log 2)
47.201 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.201 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.201 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.201 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.202 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
47.202 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.202 * [taylor]: Taking taylor expansion of k in n
47.202 * [backup-simplify]: Simplify k into k
47.203 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k) into (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.203 * [backup-simplify]: Simplify (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
47.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
47.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.205 * [backup-simplify]: Simplify (- 0) into 0
47.205 * [backup-simplify]: Simplify (+ 0 0) into 0
47.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.206 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
47.207 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.207 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 k)) into 0
47.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.208 * [taylor]: Taking taylor expansion of (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
47.208 * [taylor]: Taking taylor expansion of (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
47.208 * [taylor]: Taking taylor expansion of k in k
47.208 * [backup-simplify]: Simplify 0 into 0
47.208 * [backup-simplify]: Simplify 1 into 1
47.208 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
47.208 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
47.208 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.208 * [taylor]: Taking taylor expansion of 1/2 in k
47.208 * [backup-simplify]: Simplify 1/2 into 1/2
47.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.208 * [taylor]: Taking taylor expansion of 1/2 in k
47.208 * [backup-simplify]: Simplify 1/2 into 1/2
47.208 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.208 * [taylor]: Taking taylor expansion of k in k
47.208 * [backup-simplify]: Simplify 0 into 0
47.208 * [backup-simplify]: Simplify 1 into 1
47.208 * [backup-simplify]: Simplify (/ 1 1) into 1
47.208 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
47.208 * [taylor]: Taking taylor expansion of (log 2) in k
47.208 * [taylor]: Taking taylor expansion of 2 in k
47.208 * [backup-simplify]: Simplify 2 into 2
47.208 * [backup-simplify]: Simplify (log 2) into (log 2)
47.208 * [taylor]: Taking taylor expansion of (log n) in k
47.208 * [taylor]: Taking taylor expansion of n in k
47.208 * [backup-simplify]: Simplify n into n
47.208 * [backup-simplify]: Simplify (log n) into (log n)
47.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.209 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.209 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.209 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.210 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
47.210 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
47.210 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.211 * [backup-simplify]: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0
47.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.211 * [backup-simplify]: Simplify (sqrt 0) into 0
47.212 * [backup-simplify]: Simplify (/ (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.212 * [backup-simplify]: Simplify 0 into 0
47.212 * [taylor]: Taking taylor expansion of 0 in k
47.212 * [backup-simplify]: Simplify 0 into 0
47.212 * [backup-simplify]: Simplify 0 into 0
47.212 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.216 * [backup-simplify]: Simplify (- 0) into 0
47.216 * [backup-simplify]: Simplify (+ 0 0) into 0
47.217 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.217 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
47.218 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.219 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 k))) into 0
47.220 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.220 * [taylor]: Taking taylor expansion of 0 in k
47.220 * [backup-simplify]: Simplify 0 into 0
47.220 * [backup-simplify]: Simplify 0 into 0
47.220 * [backup-simplify]: Simplify 0 into 0
47.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
47.221 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 2) (+)) (* 2 0)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))
47.222 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))
47.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.225 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
47.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
47.226 * [backup-simplify]: Simplify (- 0) into 0
47.227 * [backup-simplify]: Simplify (+ 0 0) into 0
47.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.228 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
47.229 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.230 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
47.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.231 * [taylor]: Taking taylor expansion of 0 in k
47.231 * [backup-simplify]: Simplify 0 into 0
47.231 * [backup-simplify]: Simplify 0 into 0
47.231 * [backup-simplify]: Simplify 0 into 0
47.231 * [backup-simplify]: Simplify 0 into 0
47.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)))))) (* 2 0)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3))
47.234 * [backup-simplify]: Simplify (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3)) into (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3))
47.236 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 3)) (pow (* (/ 1 k) 1) 3)) (+ (* (* +nan.0 (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 2)) (pow (* (/ 1 k) 1) 2)) (* (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3) (pow k 3))))))))
47.237 * [backup-simplify]: Simplify (/ (sqrt (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))
47.237 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in (n k) around 0
47.237 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in k
47.237 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
47.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
47.237 * [taylor]: Taking taylor expansion of (/ -1 k) in k
47.237 * [taylor]: Taking taylor expansion of -1 in k
47.237 * [backup-simplify]: Simplify -1 into -1
47.237 * [taylor]: Taking taylor expansion of k in k
47.237 * [backup-simplify]: Simplify 0 into 0
47.237 * [backup-simplify]: Simplify 1 into 1
47.237 * [backup-simplify]: Simplify (/ -1 1) into -1
47.237 * [backup-simplify]: Simplify (sqrt 0) into 0
47.239 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
47.239 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
47.239 * [taylor]: Taking taylor expansion of (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
47.239 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
47.239 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
47.239 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
47.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.239 * [taylor]: Taking taylor expansion of 1/2 in k
47.239 * [backup-simplify]: Simplify 1/2 into 1/2
47.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.239 * [taylor]: Taking taylor expansion of k in k
47.239 * [backup-simplify]: Simplify 0 into 0
47.239 * [backup-simplify]: Simplify 1 into 1
47.240 * [backup-simplify]: Simplify (/ 1 1) into 1
47.240 * [taylor]: Taking taylor expansion of 1/2 in k
47.240 * [backup-simplify]: Simplify 1/2 into 1/2
47.240 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
47.240 * [taylor]: Taking taylor expansion of (/ -2 n) in k
47.240 * [taylor]: Taking taylor expansion of -2 in k
47.240 * [backup-simplify]: Simplify -2 into -2
47.240 * [taylor]: Taking taylor expansion of n in k
47.240 * [backup-simplify]: Simplify n into n
47.240 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
47.240 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
47.240 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.241 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.241 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
47.241 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
47.241 * [backup-simplify]: Simplify (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
47.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
47.241 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
47.241 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
47.242 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
47.242 * [taylor]: Taking taylor expansion of (/ -1 k) in n
47.242 * [taylor]: Taking taylor expansion of -1 in n
47.242 * [backup-simplify]: Simplify -1 into -1
47.242 * [taylor]: Taking taylor expansion of k in n
47.242 * [backup-simplify]: Simplify k into k
47.242 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
47.242 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
47.242 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
47.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
47.242 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
47.242 * [taylor]: Taking taylor expansion of (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
47.242 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.242 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
47.242 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
47.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.242 * [taylor]: Taking taylor expansion of 1/2 in n
47.242 * [backup-simplify]: Simplify 1/2 into 1/2
47.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.242 * [taylor]: Taking taylor expansion of k in n
47.242 * [backup-simplify]: Simplify k into k
47.242 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.242 * [taylor]: Taking taylor expansion of 1/2 in n
47.242 * [backup-simplify]: Simplify 1/2 into 1/2
47.242 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
47.242 * [taylor]: Taking taylor expansion of (/ -2 n) in n
47.242 * [taylor]: Taking taylor expansion of -2 in n
47.242 * [backup-simplify]: Simplify -2 into -2
47.242 * [taylor]: Taking taylor expansion of n in n
47.242 * [backup-simplify]: Simplify 0 into 0
47.242 * [backup-simplify]: Simplify 1 into 1
47.243 * [backup-simplify]: Simplify (/ -2 1) into -2
47.243 * [backup-simplify]: Simplify (log -2) into (log -2)
47.243 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.243 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.244 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
47.245 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.245 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
47.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
47.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
47.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.249 * [backup-simplify]: Simplify (+ 0 0) into 0
47.249 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.250 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
47.251 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.251 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
47.251 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
47.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
47.251 * [taylor]: Taking taylor expansion of (/ -1 k) in n
47.251 * [taylor]: Taking taylor expansion of -1 in n
47.251 * [backup-simplify]: Simplify -1 into -1
47.251 * [taylor]: Taking taylor expansion of k in n
47.251 * [backup-simplify]: Simplify k into k
47.252 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
47.252 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
47.252 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
47.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
47.252 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
47.252 * [taylor]: Taking taylor expansion of (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
47.252 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.252 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
47.252 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
47.252 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.252 * [taylor]: Taking taylor expansion of 1/2 in n
47.252 * [backup-simplify]: Simplify 1/2 into 1/2
47.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.252 * [taylor]: Taking taylor expansion of k in n
47.252 * [backup-simplify]: Simplify k into k
47.252 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.252 * [taylor]: Taking taylor expansion of 1/2 in n
47.252 * [backup-simplify]: Simplify 1/2 into 1/2
47.252 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
47.252 * [taylor]: Taking taylor expansion of (/ -2 n) in n
47.252 * [taylor]: Taking taylor expansion of -2 in n
47.252 * [backup-simplify]: Simplify -2 into -2
47.252 * [taylor]: Taking taylor expansion of n in n
47.252 * [backup-simplify]: Simplify 0 into 0
47.252 * [backup-simplify]: Simplify 1 into 1
47.253 * [backup-simplify]: Simplify (/ -2 1) into -2
47.253 * [backup-simplify]: Simplify (log -2) into (log -2)
47.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.253 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.254 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
47.255 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.255 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
47.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
47.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
47.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.258 * [backup-simplify]: Simplify (+ 0 0) into 0
47.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.260 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
47.261 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.262 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))
47.262 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) in k
47.262 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
47.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
47.262 * [taylor]: Taking taylor expansion of (/ -1 k) in k
47.262 * [taylor]: Taking taylor expansion of -1 in k
47.262 * [backup-simplify]: Simplify -1 into -1
47.262 * [taylor]: Taking taylor expansion of k in k
47.262 * [backup-simplify]: Simplify 0 into 0
47.262 * [backup-simplify]: Simplify 1 into 1
47.262 * [backup-simplify]: Simplify (/ -1 1) into -1
47.263 * [backup-simplify]: Simplify (sqrt 0) into 0
47.264 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
47.264 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
47.265 * [taylor]: Taking taylor expansion of (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) in k
47.265 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
47.265 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
47.265 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.265 * [taylor]: Taking taylor expansion of 1/2 in k
47.265 * [backup-simplify]: Simplify 1/2 into 1/2
47.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.265 * [taylor]: Taking taylor expansion of k in k
47.265 * [backup-simplify]: Simplify 0 into 0
47.265 * [backup-simplify]: Simplify 1 into 1
47.265 * [backup-simplify]: Simplify (/ 1 1) into 1
47.265 * [taylor]: Taking taylor expansion of 1/2 in k
47.265 * [backup-simplify]: Simplify 1/2 into 1/2
47.265 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
47.265 * [taylor]: Taking taylor expansion of (log -2) in k
47.265 * [taylor]: Taking taylor expansion of -2 in k
47.265 * [backup-simplify]: Simplify -2 into -2
47.266 * [backup-simplify]: Simplify (log -2) into (log -2)
47.266 * [taylor]: Taking taylor expansion of (log n) in k
47.266 * [taylor]: Taking taylor expansion of n in k
47.266 * [backup-simplify]: Simplify n into n
47.266 * [backup-simplify]: Simplify (log n) into (log n)
47.266 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.266 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.267 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.267 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
47.267 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
47.268 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.268 * [backup-simplify]: Simplify (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
47.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.269 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))
47.270 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))
47.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
47.271 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (* 0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.271 * [taylor]: Taking taylor expansion of 0 in k
47.271 * [backup-simplify]: Simplify 0 into 0
47.271 * [backup-simplify]: Simplify 0 into 0
47.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
47.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
47.276 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
47.277 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
47.278 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
47.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
47.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.290 * [backup-simplify]: Simplify (+ 0 0) into 0
47.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.292 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
47.294 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.295 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
47.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
47.298 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0
47.298 * [taylor]: Taking taylor expansion of 0 in k
47.298 * [backup-simplify]: Simplify 0 into 0
47.298 * [backup-simplify]: Simplify 0 into 0
47.298 * [backup-simplify]: Simplify 0 into 0
47.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
47.310 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
47.311 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
47.312 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))
47.315 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 k))) (- (+ (* +nan.0 (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (pow k 2)))))))))
47.315 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
47.315 * [backup-simplify]: Simplify (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) into (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k))
47.315 * [approximate]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k)) in (n k) around 0
47.315 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k)) in k
47.315 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k) in k
47.315 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
47.315 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
47.315 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
47.315 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
47.315 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.315 * [taylor]: Taking taylor expansion of 1/2 in k
47.315 * [backup-simplify]: Simplify 1/2 into 1/2
47.315 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.315 * [taylor]: Taking taylor expansion of 1/2 in k
47.316 * [backup-simplify]: Simplify 1/2 into 1/2
47.316 * [taylor]: Taking taylor expansion of k in k
47.316 * [backup-simplify]: Simplify 0 into 0
47.316 * [backup-simplify]: Simplify 1 into 1
47.316 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
47.316 * [taylor]: Taking taylor expansion of (* 2 n) in k
47.316 * [taylor]: Taking taylor expansion of 2 in k
47.316 * [backup-simplify]: Simplify 2 into 2
47.316 * [taylor]: Taking taylor expansion of n in k
47.316 * [backup-simplify]: Simplify n into n
47.316 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
47.316 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
47.316 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.317 * [backup-simplify]: Simplify (- 0) into 0
47.317 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.317 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
47.317 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
47.317 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
47.317 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
47.317 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
47.317 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.317 * [taylor]: Taking taylor expansion of 1/2 in k
47.317 * [backup-simplify]: Simplify 1/2 into 1/2
47.317 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.317 * [taylor]: Taking taylor expansion of 1/2 in k
47.318 * [backup-simplify]: Simplify 1/2 into 1/2
47.318 * [taylor]: Taking taylor expansion of k in k
47.318 * [backup-simplify]: Simplify 0 into 0
47.318 * [backup-simplify]: Simplify 1 into 1
47.318 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
47.318 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
47.318 * [taylor]: Taking taylor expansion of 2 in k
47.318 * [backup-simplify]: Simplify 2 into 2
47.318 * [taylor]: Taking taylor expansion of (* n PI) in k
47.318 * [taylor]: Taking taylor expansion of n in k
47.318 * [backup-simplify]: Simplify n into n
47.318 * [taylor]: Taking taylor expansion of PI in k
47.318 * [backup-simplify]: Simplify PI into PI
47.318 * [backup-simplify]: Simplify (* n PI) into (* n PI)
47.318 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
47.318 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
47.318 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.319 * [backup-simplify]: Simplify (- 0) into 0
47.319 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.319 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
47.319 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
47.319 * [taylor]: Taking taylor expansion of k in k
47.319 * [backup-simplify]: Simplify 0 into 0
47.319 * [backup-simplify]: Simplify 1 into 1
47.320 * [backup-simplify]: Simplify (* (pow (* 2 n) 1/2) (pow (* 2 (* n PI)) 1/2)) into (* (sqrt PI) (* n 2))
47.320 * [backup-simplify]: Simplify (/ (* (sqrt PI) (* n 2)) 1) into (* 2 (* n (sqrt PI)))
47.321 * [backup-simplify]: Simplify (sqrt 0) into 0
47.322 * [backup-simplify]: Simplify (/ (* 2 (* n (sqrt PI))) (* 2 (sqrt 0))) into (* +nan.0 (* n (sqrt PI)))
47.322 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k)) in n
47.322 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k) in n
47.322 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
47.322 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
47.322 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
47.322 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
47.322 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.322 * [taylor]: Taking taylor expansion of 1/2 in n
47.322 * [backup-simplify]: Simplify 1/2 into 1/2
47.322 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.322 * [taylor]: Taking taylor expansion of 1/2 in n
47.322 * [backup-simplify]: Simplify 1/2 into 1/2
47.322 * [taylor]: Taking taylor expansion of k in n
47.322 * [backup-simplify]: Simplify k into k
47.322 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
47.322 * [taylor]: Taking taylor expansion of (* 2 n) in n
47.322 * [taylor]: Taking taylor expansion of 2 in n
47.322 * [backup-simplify]: Simplify 2 into 2
47.322 * [taylor]: Taking taylor expansion of n in n
47.322 * [backup-simplify]: Simplify 0 into 0
47.322 * [backup-simplify]: Simplify 1 into 1
47.322 * [backup-simplify]: Simplify (* 2 0) into 0
47.323 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
47.324 * [backup-simplify]: Simplify (log 2) into (log 2)
47.324 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.324 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.324 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.325 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
47.326 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
47.326 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
47.326 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
47.326 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
47.326 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.326 * [taylor]: Taking taylor expansion of 1/2 in n
47.326 * [backup-simplify]: Simplify 1/2 into 1/2
47.326 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.326 * [taylor]: Taking taylor expansion of 1/2 in n
47.326 * [backup-simplify]: Simplify 1/2 into 1/2
47.326 * [taylor]: Taking taylor expansion of k in n
47.326 * [backup-simplify]: Simplify k into k
47.326 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
47.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.326 * [taylor]: Taking taylor expansion of 2 in n
47.326 * [backup-simplify]: Simplify 2 into 2
47.326 * [taylor]: Taking taylor expansion of (* n PI) in n
47.326 * [taylor]: Taking taylor expansion of n in n
47.326 * [backup-simplify]: Simplify 0 into 0
47.326 * [backup-simplify]: Simplify 1 into 1
47.326 * [taylor]: Taking taylor expansion of PI in n
47.326 * [backup-simplify]: Simplify PI into PI
47.327 * [backup-simplify]: Simplify (* 0 PI) into 0
47.327 * [backup-simplify]: Simplify (* 2 0) into 0
47.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.330 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.331 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.331 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.331 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.331 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.334 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
47.335 * [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)))))
47.335 * [taylor]: Taking taylor expansion of k in n
47.335 * [backup-simplify]: Simplify k into k
47.337 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
47.339 * [backup-simplify]: Simplify (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) into (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)
47.340 * [backup-simplify]: Simplify (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)) into (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k))
47.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.345 * [backup-simplify]: Simplify (- 0) into 0
47.346 * [backup-simplify]: Simplify (+ 0 0) into 0
47.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.348 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
47.350 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
47.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.353 * [backup-simplify]: Simplify (- 0) into 0
47.354 * [backup-simplify]: Simplify (+ 0 0) into 0
47.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.355 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
47.357 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.358 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
47.360 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) (/ 0 k)))) into 0
47.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)))) into 0
47.362 * [taylor]: Taking taylor expansion of (sqrt (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k)) in n
47.362 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) k) in n
47.362 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
47.362 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
47.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
47.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
47.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.362 * [taylor]: Taking taylor expansion of 1/2 in n
47.362 * [backup-simplify]: Simplify 1/2 into 1/2
47.362 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.362 * [taylor]: Taking taylor expansion of 1/2 in n
47.362 * [backup-simplify]: Simplify 1/2 into 1/2
47.362 * [taylor]: Taking taylor expansion of k in n
47.362 * [backup-simplify]: Simplify k into k
47.362 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
47.362 * [taylor]: Taking taylor expansion of (* 2 n) in n
47.362 * [taylor]: Taking taylor expansion of 2 in n
47.362 * [backup-simplify]: Simplify 2 into 2
47.362 * [taylor]: Taking taylor expansion of n in n
47.362 * [backup-simplify]: Simplify 0 into 0
47.362 * [backup-simplify]: Simplify 1 into 1
47.363 * [backup-simplify]: Simplify (* 2 0) into 0
47.363 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
47.364 * [backup-simplify]: Simplify (log 2) into (log 2)
47.364 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.364 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.364 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.365 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
47.366 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
47.366 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
47.366 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
47.366 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
47.366 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
47.366 * [taylor]: Taking taylor expansion of 1/2 in n
47.366 * [backup-simplify]: Simplify 1/2 into 1/2
47.366 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
47.366 * [taylor]: Taking taylor expansion of 1/2 in n
47.366 * [backup-simplify]: Simplify 1/2 into 1/2
47.366 * [taylor]: Taking taylor expansion of k in n
47.366 * [backup-simplify]: Simplify k into k
47.366 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
47.366 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.366 * [taylor]: Taking taylor expansion of 2 in n
47.366 * [backup-simplify]: Simplify 2 into 2
47.366 * [taylor]: Taking taylor expansion of (* n PI) in n
47.366 * [taylor]: Taking taylor expansion of n in n
47.366 * [backup-simplify]: Simplify 0 into 0
47.366 * [backup-simplify]: Simplify 1 into 1
47.366 * [taylor]: Taking taylor expansion of PI in n
47.366 * [backup-simplify]: Simplify PI into PI
47.367 * [backup-simplify]: Simplify (* 0 PI) into 0
47.367 * [backup-simplify]: Simplify (* 2 0) into 0
47.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.371 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.372 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.372 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
47.372 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
47.372 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
47.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.375 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
47.376 * [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)))))
47.376 * [taylor]: Taking taylor expansion of k in n
47.376 * [backup-simplify]: Simplify k into k
47.377 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
47.379 * [backup-simplify]: Simplify (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) into (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)
47.381 * [backup-simplify]: Simplify (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)) into (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k))
47.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.385 * [backup-simplify]: Simplify (- 0) into 0
47.385 * [backup-simplify]: Simplify (+ 0 0) into 0
47.386 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.387 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
47.388 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
47.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
47.390 * [backup-simplify]: Simplify (- 0) into 0
47.390 * [backup-simplify]: Simplify (+ 0 0) into 0
47.390 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.391 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
47.392 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.393 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
47.394 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) (/ 0 k)))) into 0
47.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)))) into 0
47.395 * [taylor]: Taking taylor expansion of (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)) in k
47.395 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) in k
47.395 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
47.395 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
47.395 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
47.395 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
47.395 * [taylor]: Taking taylor expansion of (log 2) in k
47.395 * [taylor]: Taking taylor expansion of 2 in k
47.395 * [backup-simplify]: Simplify 2 into 2
47.395 * [backup-simplify]: Simplify (log 2) into (log 2)
47.395 * [taylor]: Taking taylor expansion of (log n) in k
47.395 * [taylor]: Taking taylor expansion of n in k
47.395 * [backup-simplify]: Simplify n into n
47.395 * [backup-simplify]: Simplify (log n) into (log n)
47.395 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.395 * [taylor]: Taking taylor expansion of 1/2 in k
47.395 * [backup-simplify]: Simplify 1/2 into 1/2
47.395 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.395 * [taylor]: Taking taylor expansion of 1/2 in k
47.395 * [backup-simplify]: Simplify 1/2 into 1/2
47.395 * [taylor]: Taking taylor expansion of k in k
47.395 * [backup-simplify]: Simplify 0 into 0
47.395 * [backup-simplify]: Simplify 1 into 1
47.396 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
47.396 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.396 * [backup-simplify]: Simplify (- 0) into 0
47.396 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.397 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
47.397 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
47.397 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
47.397 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
47.397 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
47.397 * [taylor]: Taking taylor expansion of 1/2 in k
47.397 * [backup-simplify]: Simplify 1/2 into 1/2
47.397 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
47.397 * [taylor]: Taking taylor expansion of 1/2 in k
47.397 * [backup-simplify]: Simplify 1/2 into 1/2
47.397 * [taylor]: Taking taylor expansion of k in k
47.397 * [backup-simplify]: Simplify 0 into 0
47.397 * [backup-simplify]: Simplify 1 into 1
47.397 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
47.397 * [taylor]: Taking taylor expansion of (log n) in k
47.397 * [taylor]: Taking taylor expansion of n in k
47.397 * [backup-simplify]: Simplify n into n
47.397 * [backup-simplify]: Simplify (log n) into (log n)
47.397 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
47.397 * [taylor]: Taking taylor expansion of (* 2 PI) in k
47.397 * [taylor]: Taking taylor expansion of 2 in k
47.397 * [backup-simplify]: Simplify 2 into 2
47.397 * [taylor]: Taking taylor expansion of PI in k
47.397 * [backup-simplify]: Simplify PI into PI
47.398 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.398 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.399 * [backup-simplify]: Simplify (* 1/2 0) into 0
47.399 * [backup-simplify]: Simplify (- 0) into 0
47.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.400 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.401 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
47.401 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
47.401 * [taylor]: Taking taylor expansion of k in k
47.401 * [backup-simplify]: Simplify 0 into 0
47.401 * [backup-simplify]: Simplify 1 into 1
47.402 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
47.403 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) 1) into (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
47.404 * [backup-simplify]: Simplify (sqrt 0) into 0
47.405 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 2 (sqrt 0))) into (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
47.405 * [backup-simplify]: Simplify 0 into 0
47.405 * [taylor]: Taking taylor expansion of 0 in k
47.405 * [backup-simplify]: Simplify 0 into 0
47.406 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
47.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
47.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
47.409 * [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
47.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
47.410 * [backup-simplify]: Simplify (- 0) into 0
47.410 * [backup-simplify]: Simplify (+ 0 0) into 0
47.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.420 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
47.422 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
47.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
47.428 * [backup-simplify]: Simplify (- 0) into 0
47.428 * [backup-simplify]: Simplify (+ 0 0) into 0
47.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.430 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
47.432 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.434 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
47.435 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)))) into 0
47.438 * [taylor]: Taking taylor expansion of 0 in k
47.438 * [backup-simplify]: Simplify 0 into 0
47.438 * [backup-simplify]: Simplify 0 into 0
47.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
47.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.442 * [backup-simplify]: Simplify (+ 0 0) into 0
47.442 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
47.443 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.443 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
47.448 * [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)))))))
47.449 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
47.450 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.450 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
47.453 * [backup-simplify]: Simplify (+ 0 0) into 0
47.453 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
47.455 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
47.461 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))
47.470 * [backup-simplify]: Simplify (- (/ (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))) 1) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ 0 1)))) into (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))
47.479 * [backup-simplify]: Simplify (/ (- (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))) (pow (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))))
47.484 * [backup-simplify]: Simplify (* +nan.0 (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))))) into (* +nan.0 (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))))
47.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
47.489 * [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
47.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
47.490 * [backup-simplify]: Simplify (- 0) into 0
47.490 * [backup-simplify]: Simplify (+ 0 0) into 0
47.491 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.492 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
47.494 * [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
47.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
47.497 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
47.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
47.498 * [backup-simplify]: Simplify (- 0) into 0
47.499 * [backup-simplify]: Simplify (+ 0 0) into 0
47.499 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
47.500 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
47.501 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.503 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
47.504 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) k)))) into 0
47.505 * [taylor]: Taking taylor expansion of 0 in k
47.505 * [backup-simplify]: Simplify 0 into 0
47.505 * [backup-simplify]: Simplify 0 into 0
47.505 * [backup-simplify]: Simplify 0 into 0
47.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
47.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.509 * [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
47.509 * [backup-simplify]: Simplify (+ 0 0) into 0
47.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
47.510 * [backup-simplify]: Simplify (- 0) into 0
47.511 * [backup-simplify]: Simplify (+ 0 0) into 0
47.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
47.514 * [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)))))
47.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
47.515 * [backup-simplify]: Simplify (- 0) into 0
47.515 * [backup-simplify]: Simplify (+ 0 0) into 0
47.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
47.521 * [backup-simplify]: Simplify (+ 0 0) into 0
47.522 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
47.524 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
47.546 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (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)))))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))))))
47.573 * [backup-simplify]: Simplify (- (/ (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))))))) 1) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ 0 1)) (* (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))) (/ 0 1)))) into (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))
47.601 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))) (+ (* 2 (* (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* +nan.0 (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))))))))))
47.628 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))))))))) into (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))))))))))
47.677 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))) (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log n)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2)))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))))))))) (pow (* k 1) 2)) (+ (* (* +nan.0 (- (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (+ (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2))))) (* k 1)) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k))))))))))))))))))))))))))))))))
47.678 * [backup-simplify]: Simplify (* (sqrt (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k)))) into (sqrt (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
47.678 * [approximate]: Taking taylor expansion of (sqrt (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in (n k) around 0
47.678 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in k
47.678 * [taylor]: Taking taylor expansion of (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in k
47.678 * [taylor]: Taking taylor expansion of k in k
47.678 * [backup-simplify]: Simplify 0 into 0
47.678 * [backup-simplify]: Simplify 1 into 1
47.678 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
47.678 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
47.678 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
47.678 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
47.678 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.678 * [taylor]: Taking taylor expansion of 1/2 in k
47.678 * [backup-simplify]: Simplify 1/2 into 1/2
47.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.679 * [taylor]: Taking taylor expansion of 1/2 in k
47.679 * [backup-simplify]: Simplify 1/2 into 1/2
47.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.679 * [taylor]: Taking taylor expansion of k in k
47.679 * [backup-simplify]: Simplify 0 into 0
47.679 * [backup-simplify]: Simplify 1 into 1
47.679 * [backup-simplify]: Simplify (/ 1 1) into 1
47.679 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
47.679 * [taylor]: Taking taylor expansion of (/ 2 n) in k
47.679 * [taylor]: Taking taylor expansion of 2 in k
47.679 * [backup-simplify]: Simplify 2 into 2
47.679 * [taylor]: Taking taylor expansion of n in k
47.679 * [backup-simplify]: Simplify n into n
47.679 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
47.680 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
47.680 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.680 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.681 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.681 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
47.681 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
47.681 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
47.681 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
47.681 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
47.681 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.681 * [taylor]: Taking taylor expansion of 1/2 in k
47.681 * [backup-simplify]: Simplify 1/2 into 1/2
47.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.681 * [taylor]: Taking taylor expansion of 1/2 in k
47.681 * [backup-simplify]: Simplify 1/2 into 1/2
47.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.681 * [taylor]: Taking taylor expansion of k in k
47.681 * [backup-simplify]: Simplify 0 into 0
47.681 * [backup-simplify]: Simplify 1 into 1
47.682 * [backup-simplify]: Simplify (/ 1 1) into 1
47.682 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
47.682 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
47.682 * [taylor]: Taking taylor expansion of 2 in k
47.682 * [backup-simplify]: Simplify 2 into 2
47.682 * [taylor]: Taking taylor expansion of (/ PI n) in k
47.682 * [taylor]: Taking taylor expansion of PI in k
47.682 * [backup-simplify]: Simplify PI into PI
47.682 * [taylor]: Taking taylor expansion of n in k
47.682 * [backup-simplify]: Simplify n into n
47.682 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
47.682 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
47.682 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
47.683 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.683 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.684 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.684 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
47.684 * [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))))
47.684 * [backup-simplify]: Simplify (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
47.685 * [backup-simplify]: Simplify (* 0 (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
47.685 * [backup-simplify]: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
47.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
47.686 * [backup-simplify]: Simplify (sqrt 0) into 0
47.687 * [backup-simplify]: Simplify (/ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (* 2 (sqrt 0))) into (* +nan.0 (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
47.687 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
47.687 * [taylor]: Taking taylor expansion of (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
47.687 * [taylor]: Taking taylor expansion of k in n
47.687 * [backup-simplify]: Simplify k into k
47.687 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
47.687 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.687 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
47.688 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
47.688 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.688 * [taylor]: Taking taylor expansion of 1/2 in n
47.688 * [backup-simplify]: Simplify 1/2 into 1/2
47.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.688 * [taylor]: Taking taylor expansion of 1/2 in n
47.688 * [backup-simplify]: Simplify 1/2 into 1/2
47.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.688 * [taylor]: Taking taylor expansion of k in n
47.688 * [backup-simplify]: Simplify k into k
47.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.688 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
47.688 * [taylor]: Taking taylor expansion of (/ 2 n) in n
47.688 * [taylor]: Taking taylor expansion of 2 in n
47.688 * [backup-simplify]: Simplify 2 into 2
47.688 * [taylor]: Taking taylor expansion of n in n
47.688 * [backup-simplify]: Simplify 0 into 0
47.688 * [backup-simplify]: Simplify 1 into 1
47.689 * [backup-simplify]: Simplify (/ 2 1) into 2
47.689 * [backup-simplify]: Simplify (log 2) into (log 2)
47.689 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.689 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.690 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.691 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
47.692 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.692 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.692 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
47.692 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
47.692 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.692 * [taylor]: Taking taylor expansion of 1/2 in n
47.692 * [backup-simplify]: Simplify 1/2 into 1/2
47.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.692 * [taylor]: Taking taylor expansion of 1/2 in n
47.692 * [backup-simplify]: Simplify 1/2 into 1/2
47.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.692 * [taylor]: Taking taylor expansion of k in n
47.692 * [backup-simplify]: Simplify k into k
47.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
47.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.692 * [taylor]: Taking taylor expansion of 2 in n
47.692 * [backup-simplify]: Simplify 2 into 2
47.692 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.692 * [taylor]: Taking taylor expansion of PI in n
47.692 * [backup-simplify]: Simplify PI into PI
47.692 * [taylor]: Taking taylor expansion of n in n
47.692 * [backup-simplify]: Simplify 0 into 0
47.692 * [backup-simplify]: Simplify 1 into 1
47.693 * [backup-simplify]: Simplify (/ PI 1) into PI
47.693 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.694 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.694 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.695 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.695 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.697 * [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)))
47.699 * [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))))
47.700 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (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)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.702 * [backup-simplify]: Simplify (* k (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))
47.704 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
47.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.706 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.710 * [backup-simplify]: Simplify (- 0) into 0
47.710 * [backup-simplify]: Simplify (+ 0 0) into 0
47.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.713 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
47.715 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
47.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.720 * [backup-simplify]: Simplify (- 0) into 0
47.721 * [backup-simplify]: Simplify (+ 0 0) into 0
47.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.722 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
47.724 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.725 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
47.727 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
47.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))))) into 0
47.729 * [taylor]: Taking taylor expansion of (sqrt (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
47.729 * [taylor]: Taking taylor expansion of (* k (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
47.729 * [taylor]: Taking taylor expansion of k in n
47.729 * [backup-simplify]: Simplify k into k
47.729 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
47.729 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.729 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
47.729 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
47.730 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.730 * [taylor]: Taking taylor expansion of 1/2 in n
47.730 * [backup-simplify]: Simplify 1/2 into 1/2
47.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.730 * [taylor]: Taking taylor expansion of 1/2 in n
47.730 * [backup-simplify]: Simplify 1/2 into 1/2
47.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.730 * [taylor]: Taking taylor expansion of k in n
47.730 * [backup-simplify]: Simplify k into k
47.730 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.730 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
47.730 * [taylor]: Taking taylor expansion of (/ 2 n) in n
47.730 * [taylor]: Taking taylor expansion of 2 in n
47.730 * [backup-simplify]: Simplify 2 into 2
47.730 * [taylor]: Taking taylor expansion of n in n
47.730 * [backup-simplify]: Simplify 0 into 0
47.730 * [backup-simplify]: Simplify 1 into 1
47.730 * [backup-simplify]: Simplify (/ 2 1) into 2
47.731 * [backup-simplify]: Simplify (log 2) into (log 2)
47.731 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.731 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.731 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.732 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
47.733 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.733 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
47.733 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
47.733 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
47.733 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
47.733 * [taylor]: Taking taylor expansion of 1/2 in n
47.733 * [backup-simplify]: Simplify 1/2 into 1/2
47.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.733 * [taylor]: Taking taylor expansion of 1/2 in n
47.733 * [backup-simplify]: Simplify 1/2 into 1/2
47.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.733 * [taylor]: Taking taylor expansion of k in n
47.733 * [backup-simplify]: Simplify k into k
47.733 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.733 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
47.734 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.734 * [taylor]: Taking taylor expansion of 2 in n
47.734 * [backup-simplify]: Simplify 2 into 2
47.734 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.734 * [taylor]: Taking taylor expansion of PI in n
47.734 * [backup-simplify]: Simplify PI into PI
47.734 * [taylor]: Taking taylor expansion of n in n
47.734 * [backup-simplify]: Simplify 0 into 0
47.734 * [backup-simplify]: Simplify 1 into 1
47.734 * [backup-simplify]: Simplify (/ PI 1) into PI
47.735 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.736 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.736 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.736 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
47.736 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
47.738 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.739 * [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)))
47.740 * [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))))
47.742 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (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)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.744 * [backup-simplify]: Simplify (* k (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))
47.746 * [backup-simplify]: Simplify (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))) into (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
47.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.747 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.751 * [backup-simplify]: Simplify (- 0) into 0
47.751 * [backup-simplify]: Simplify (+ 0 0) into 0
47.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.755 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
47.757 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
47.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
47.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.760 * [backup-simplify]: Simplify (- 0) into 0
47.761 * [backup-simplify]: Simplify (+ 0 0) into 0
47.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.762 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
47.763 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.765 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
47.767 * [backup-simplify]: Simplify (+ (* k 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
47.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) k))))) into 0
47.769 * [taylor]: Taking taylor expansion of (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) in k
47.769 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
47.769 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
47.769 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
47.769 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.769 * [taylor]: Taking taylor expansion of 1/2 in k
47.769 * [backup-simplify]: Simplify 1/2 into 1/2
47.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.769 * [taylor]: Taking taylor expansion of 1/2 in k
47.769 * [backup-simplify]: Simplify 1/2 into 1/2
47.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.769 * [taylor]: Taking taylor expansion of k in k
47.769 * [backup-simplify]: Simplify 0 into 0
47.770 * [backup-simplify]: Simplify 1 into 1
47.770 * [backup-simplify]: Simplify (/ 1 1) into 1
47.770 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
47.770 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
47.770 * [taylor]: Taking taylor expansion of (* 2 PI) in k
47.770 * [taylor]: Taking taylor expansion of 2 in k
47.770 * [backup-simplify]: Simplify 2 into 2
47.770 * [taylor]: Taking taylor expansion of PI in k
47.770 * [backup-simplify]: Simplify PI into PI
47.771 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.772 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.772 * [taylor]: Taking taylor expansion of (log n) in k
47.772 * [taylor]: Taking taylor expansion of n in k
47.772 * [backup-simplify]: Simplify n into n
47.772 * [backup-simplify]: Simplify (log n) into (log n)
47.772 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.773 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.773 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.773 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.774 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
47.776 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
47.777 * [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))))
47.777 * [taylor]: Taking taylor expansion of (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
47.777 * [taylor]: Taking taylor expansion of k in k
47.777 * [backup-simplify]: Simplify 0 into 0
47.777 * [backup-simplify]: Simplify 1 into 1
47.777 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
47.777 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
47.777 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
47.777 * [taylor]: Taking taylor expansion of 1/2 in k
47.777 * [backup-simplify]: Simplify 1/2 into 1/2
47.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.777 * [taylor]: Taking taylor expansion of 1/2 in k
47.777 * [backup-simplify]: Simplify 1/2 into 1/2
47.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.777 * [taylor]: Taking taylor expansion of k in k
47.777 * [backup-simplify]: Simplify 0 into 0
47.777 * [backup-simplify]: Simplify 1 into 1
47.778 * [backup-simplify]: Simplify (/ 1 1) into 1
47.778 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
47.778 * [taylor]: Taking taylor expansion of (log 2) in k
47.778 * [taylor]: Taking taylor expansion of 2 in k
47.778 * [backup-simplify]: Simplify 2 into 2
47.778 * [backup-simplify]: Simplify (log 2) into (log 2)
47.778 * [taylor]: Taking taylor expansion of (log n) in k
47.778 * [taylor]: Taking taylor expansion of n in k
47.778 * [backup-simplify]: Simplify n into n
47.779 * [backup-simplify]: Simplify (log n) into (log n)
47.779 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.779 * [backup-simplify]: Simplify (- 1/2) into -1/2
47.780 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
47.780 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.780 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
47.781 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
47.781 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.782 * [backup-simplify]: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0
47.783 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
47.784 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
47.786 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
47.786 * [backup-simplify]: Simplify (sqrt 0) into 0
47.789 * [backup-simplify]: Simplify (/ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 2 (sqrt 0))) into (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
47.789 * [backup-simplify]: Simplify 0 into 0
47.789 * [taylor]: Taking taylor expansion of 0 in k
47.789 * [backup-simplify]: Simplify 0 into 0
47.789 * [backup-simplify]: Simplify 0 into 0
47.790 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
47.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
47.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.797 * [backup-simplify]: Simplify (- 0) into 0
47.798 * [backup-simplify]: Simplify (+ 0 0) into 0
47.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.801 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
47.803 * [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
47.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
47.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.808 * [backup-simplify]: Simplify (- 0) into 0
47.809 * [backup-simplify]: Simplify (+ 0 0) into 0
47.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.811 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
47.813 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.815 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
47.818 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0
47.826 * [taylor]: Taking taylor expansion of 0 in k
47.826 * [backup-simplify]: Simplify 0 into 0
47.826 * [backup-simplify]: Simplify 0 into 0
47.826 * [backup-simplify]: Simplify 0 into 0
47.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
47.830 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0))) into 0
47.832 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)))
47.834 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2)))
47.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.842 * [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
47.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
47.844 * [backup-simplify]: Simplify (- 0) into 0
47.844 * [backup-simplify]: Simplify (+ 0 0) into 0
47.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.848 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
47.851 * [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
47.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.857 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
47.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
47.859 * [backup-simplify]: Simplify (- 0) into 0
47.860 * [backup-simplify]: Simplify (+ 0 0) into 0
47.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
47.862 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
47.864 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.867 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
47.870 * [backup-simplify]: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0
47.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (* k (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0
47.873 * [taylor]: Taking taylor expansion of 0 in k
47.873 * [backup-simplify]: Simplify 0 into 0
47.873 * [backup-simplify]: Simplify 0 into 0
47.873 * [backup-simplify]: Simplify 0 into 0
47.873 * [backup-simplify]: Simplify 0 into 0
47.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
47.878 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (+ (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (* 0 0)))) into 0
47.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 2))))))) (* 2 0)) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3)))
47.884 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3))) into (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 3)))
47.891 * [backup-simplify]: Simplify (+ (* (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 3))) (pow (* (/ 1 k) 1) 3)) (+ (* (* +nan.0 (* (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) 2))) (pow (* (/ 1 k) 1) 2)) (* (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3)) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2)) (pow k 2))))))))
47.892 * [backup-simplify]: Simplify (* (sqrt (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))
47.892 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in (n k) around 0
47.892 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in k
47.892 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
47.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
47.892 * [taylor]: Taking taylor expansion of (/ -1 k) in k
47.892 * [taylor]: Taking taylor expansion of -1 in k
47.892 * [backup-simplify]: Simplify -1 into -1
47.892 * [taylor]: Taking taylor expansion of k in k
47.892 * [backup-simplify]: Simplify 0 into 0
47.892 * [backup-simplify]: Simplify 1 into 1
47.893 * [backup-simplify]: Simplify (/ -1 1) into -1
47.893 * [backup-simplify]: Simplify (sqrt 0) into 0
47.895 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
47.895 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
47.895 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in k
47.895 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
47.895 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
47.896 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
47.896 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
47.896 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.896 * [taylor]: Taking taylor expansion of 1/2 in k
47.896 * [backup-simplify]: Simplify 1/2 into 1/2
47.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.896 * [taylor]: Taking taylor expansion of k in k
47.896 * [backup-simplify]: Simplify 0 into 0
47.896 * [backup-simplify]: Simplify 1 into 1
47.896 * [backup-simplify]: Simplify (/ 1 1) into 1
47.896 * [taylor]: Taking taylor expansion of 1/2 in k
47.896 * [backup-simplify]: Simplify 1/2 into 1/2
47.896 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
47.896 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
47.896 * [taylor]: Taking taylor expansion of -2 in k
47.896 * [backup-simplify]: Simplify -2 into -2
47.896 * [taylor]: Taking taylor expansion of (/ PI n) in k
47.896 * [taylor]: Taking taylor expansion of PI in k
47.896 * [backup-simplify]: Simplify PI into PI
47.896 * [taylor]: Taking taylor expansion of n in k
47.897 * [backup-simplify]: Simplify n into n
47.897 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
47.897 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
47.897 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
47.897 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.898 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.898 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
47.898 * [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)))
47.898 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
47.898 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
47.898 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
47.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.898 * [taylor]: Taking taylor expansion of 1/2 in k
47.898 * [backup-simplify]: Simplify 1/2 into 1/2
47.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.898 * [taylor]: Taking taylor expansion of k in k
47.898 * [backup-simplify]: Simplify 0 into 0
47.898 * [backup-simplify]: Simplify 1 into 1
47.899 * [backup-simplify]: Simplify (/ 1 1) into 1
47.899 * [taylor]: Taking taylor expansion of 1/2 in k
47.899 * [backup-simplify]: Simplify 1/2 into 1/2
47.899 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
47.899 * [taylor]: Taking taylor expansion of (/ -2 n) in k
47.899 * [taylor]: Taking taylor expansion of -2 in k
47.899 * [backup-simplify]: Simplify -2 into -2
47.899 * [taylor]: Taking taylor expansion of n in k
47.899 * [backup-simplify]: Simplify n into n
47.899 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
47.899 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
47.900 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.900 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.900 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
47.900 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
47.901 * [backup-simplify]: Simplify (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
47.901 * [backup-simplify]: Simplify (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) into (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))
47.901 * [backup-simplify]: Simplify (+ (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
47.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
47.902 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
47.902 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
47.902 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
47.902 * [taylor]: Taking taylor expansion of (/ -1 k) in n
47.902 * [taylor]: Taking taylor expansion of -1 in n
47.902 * [backup-simplify]: Simplify -1 into -1
47.902 * [taylor]: Taking taylor expansion of k in n
47.902 * [backup-simplify]: Simplify k into k
47.902 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
47.902 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
47.902 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
47.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
47.903 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
47.903 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
47.903 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
47.903 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.903 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
47.903 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
47.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.903 * [taylor]: Taking taylor expansion of 1/2 in n
47.903 * [backup-simplify]: Simplify 1/2 into 1/2
47.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.903 * [taylor]: Taking taylor expansion of k in n
47.903 * [backup-simplify]: Simplify k into k
47.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.903 * [taylor]: Taking taylor expansion of 1/2 in n
47.903 * [backup-simplify]: Simplify 1/2 into 1/2
47.903 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.903 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.903 * [taylor]: Taking taylor expansion of -2 in n
47.903 * [backup-simplify]: Simplify -2 into -2
47.903 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.903 * [taylor]: Taking taylor expansion of PI in n
47.903 * [backup-simplify]: Simplify PI into PI
47.903 * [taylor]: Taking taylor expansion of n in n
47.903 * [backup-simplify]: Simplify 0 into 0
47.903 * [backup-simplify]: Simplify 1 into 1
47.904 * [backup-simplify]: Simplify (/ PI 1) into PI
47.905 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.906 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.906 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.906 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.909 * [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)))
47.909 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
47.909 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.910 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
47.910 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
47.910 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.910 * [taylor]: Taking taylor expansion of 1/2 in n
47.910 * [backup-simplify]: Simplify 1/2 into 1/2
47.910 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.910 * [taylor]: Taking taylor expansion of k in n
47.910 * [backup-simplify]: Simplify k into k
47.910 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.910 * [taylor]: Taking taylor expansion of 1/2 in n
47.910 * [backup-simplify]: Simplify 1/2 into 1/2
47.910 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
47.910 * [taylor]: Taking taylor expansion of (/ -2 n) in n
47.910 * [taylor]: Taking taylor expansion of -2 in n
47.910 * [backup-simplify]: Simplify -2 into -2
47.910 * [taylor]: Taking taylor expansion of n in n
47.910 * [backup-simplify]: Simplify 0 into 0
47.910 * [backup-simplify]: Simplify 1 into 1
47.910 * [backup-simplify]: Simplify (/ -2 1) into -2
47.910 * [backup-simplify]: Simplify (log -2) into (log -2)
47.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.910 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.911 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
47.912 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.913 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
47.914 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
47.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
47.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
47.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.916 * [backup-simplify]: Simplify (+ 0 0) into 0
47.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.917 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
47.917 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.918 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
47.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.920 * [backup-simplify]: Simplify (+ 0 0) into 0
47.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.922 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
47.923 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.924 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0
47.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.925 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
47.925 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
47.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
47.925 * [taylor]: Taking taylor expansion of (/ -1 k) in n
47.925 * [taylor]: Taking taylor expansion of -1 in n
47.926 * [backup-simplify]: Simplify -1 into -1
47.926 * [taylor]: Taking taylor expansion of k in n
47.926 * [backup-simplify]: Simplify k into k
47.926 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
47.926 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
47.926 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
47.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
47.926 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
47.926 * [taylor]: Taking taylor expansion of (sqrt (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
47.926 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
47.926 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.926 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
47.926 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
47.926 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.926 * [taylor]: Taking taylor expansion of 1/2 in n
47.926 * [backup-simplify]: Simplify 1/2 into 1/2
47.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.926 * [taylor]: Taking taylor expansion of k in n
47.926 * [backup-simplify]: Simplify k into k
47.926 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.926 * [taylor]: Taking taylor expansion of 1/2 in n
47.926 * [backup-simplify]: Simplify 1/2 into 1/2
47.926 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.926 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.926 * [taylor]: Taking taylor expansion of -2 in n
47.926 * [backup-simplify]: Simplify -2 into -2
47.926 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.926 * [taylor]: Taking taylor expansion of PI in n
47.926 * [backup-simplify]: Simplify PI into PI
47.926 * [taylor]: Taking taylor expansion of n in n
47.926 * [backup-simplify]: Simplify 0 into 0
47.926 * [backup-simplify]: Simplify 1 into 1
47.926 * [backup-simplify]: Simplify (/ PI 1) into PI
47.927 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.927 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.928 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.928 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.929 * [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)))
47.930 * [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))))
47.930 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
47.930 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
47.930 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
47.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
47.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
47.930 * [taylor]: Taking taylor expansion of 1/2 in n
47.930 * [backup-simplify]: Simplify 1/2 into 1/2
47.930 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.930 * [taylor]: Taking taylor expansion of k in n
47.930 * [backup-simplify]: Simplify k into k
47.930 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.930 * [taylor]: Taking taylor expansion of 1/2 in n
47.930 * [backup-simplify]: Simplify 1/2 into 1/2
47.930 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
47.930 * [taylor]: Taking taylor expansion of (/ -2 n) in n
47.930 * [taylor]: Taking taylor expansion of -2 in n
47.930 * [backup-simplify]: Simplify -2 into -2
47.930 * [taylor]: Taking taylor expansion of n in n
47.930 * [backup-simplify]: Simplify 0 into 0
47.930 * [backup-simplify]: Simplify 1 into 1
47.931 * [backup-simplify]: Simplify (/ -2 1) into -2
47.931 * [backup-simplify]: Simplify (log -2) into (log -2)
47.931 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
47.931 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
47.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.932 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
47.932 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.933 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
47.934 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
47.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
47.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
47.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.936 * [backup-simplify]: Simplify (+ 0 0) into 0
47.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.937 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
47.938 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.939 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
47.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
47.940 * [backup-simplify]: Simplify (+ 0 0) into 0
47.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.942 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
47.943 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.949 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0
47.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.952 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
47.952 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) in k
47.952 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
47.952 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
47.952 * [taylor]: Taking taylor expansion of (/ -1 k) in k
47.952 * [taylor]: Taking taylor expansion of -1 in k
47.952 * [backup-simplify]: Simplify -1 into -1
47.952 * [taylor]: Taking taylor expansion of k in k
47.952 * [backup-simplify]: Simplify 0 into 0
47.952 * [backup-simplify]: Simplify 1 into 1
47.953 * [backup-simplify]: Simplify (/ -1 1) into -1
47.953 * [backup-simplify]: Simplify (sqrt 0) into 0
47.954 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
47.954 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
47.954 * [taylor]: Taking taylor expansion of (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) in k
47.954 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
47.954 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
47.954 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
47.954 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.954 * [taylor]: Taking taylor expansion of 1/2 in k
47.954 * [backup-simplify]: Simplify 1/2 into 1/2
47.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.954 * [taylor]: Taking taylor expansion of k in k
47.954 * [backup-simplify]: Simplify 0 into 0
47.954 * [backup-simplify]: Simplify 1 into 1
47.955 * [backup-simplify]: Simplify (/ 1 1) into 1
47.955 * [taylor]: Taking taylor expansion of 1/2 in k
47.955 * [backup-simplify]: Simplify 1/2 into 1/2
47.955 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
47.955 * [taylor]: Taking taylor expansion of (log -2) in k
47.955 * [taylor]: Taking taylor expansion of -2 in k
47.955 * [backup-simplify]: Simplify -2 into -2
47.955 * [backup-simplify]: Simplify (log -2) into (log -2)
47.955 * [taylor]: Taking taylor expansion of (log n) in k
47.955 * [taylor]: Taking taylor expansion of n in k
47.955 * [backup-simplify]: Simplify n into n
47.955 * [backup-simplify]: Simplify (log n) into (log n)
47.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.956 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.956 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.956 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
47.956 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
47.957 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
47.957 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
47.957 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
47.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
47.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
47.957 * [taylor]: Taking taylor expansion of 1/2 in k
47.957 * [backup-simplify]: Simplify 1/2 into 1/2
47.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.957 * [taylor]: Taking taylor expansion of k in k
47.957 * [backup-simplify]: Simplify 0 into 0
47.957 * [backup-simplify]: Simplify 1 into 1
47.957 * [backup-simplify]: Simplify (/ 1 1) into 1
47.957 * [taylor]: Taking taylor expansion of 1/2 in k
47.957 * [backup-simplify]: Simplify 1/2 into 1/2
47.957 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
47.957 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
47.957 * [taylor]: Taking taylor expansion of (* -2 PI) in k
47.957 * [taylor]: Taking taylor expansion of -2 in k
47.957 * [backup-simplify]: Simplify -2 into -2
47.957 * [taylor]: Taking taylor expansion of PI in k
47.957 * [backup-simplify]: Simplify PI into PI
47.958 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.958 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.958 * [taylor]: Taking taylor expansion of (log n) in k
47.958 * [taylor]: Taking taylor expansion of n in k
47.958 * [backup-simplify]: Simplify n into n
47.958 * [backup-simplify]: Simplify (log n) into (log n)
47.959 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.959 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
47.959 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.960 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
47.960 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
47.961 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
47.962 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
47.964 * [backup-simplify]: Simplify (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
47.965 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
47.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.967 * [backup-simplify]: Simplify (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
47.968 * [backup-simplify]: Simplify (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
47.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
47.969 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (* 0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.969 * [taylor]: Taking taylor expansion of 0 in k
47.969 * [backup-simplify]: Simplify 0 into 0
47.969 * [backup-simplify]: Simplify 0 into 0
47.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
47.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
47.973 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
47.975 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))
47.976 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))
47.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
47.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.980 * [backup-simplify]: Simplify (+ 0 0) into 0
47.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
47.981 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
47.982 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.983 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.985 * [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
47.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
47.986 * [backup-simplify]: Simplify (+ 0 0) into 0
47.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.988 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
47.989 * [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
47.991 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
47.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.992 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
47.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
47.994 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))) into 0
47.994 * [taylor]: Taking taylor expansion of 0 in k
47.994 * [backup-simplify]: Simplify 0 into 0
47.994 * [backup-simplify]: Simplify 0 into 0
47.994 * [backup-simplify]: Simplify 0 into 0
47.996 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
47.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
47.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
48.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
48.004 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
48.007 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))
48.009 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))))
48.016 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (sqrt (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (pow k 2)))) (- (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 k))))))))
48.016 * * * [progress]: simplifying candidates
48.016 * * * * [progress]: [ 1 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))>
48.016 * * * * [progress]: [ 2 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))>
48.016 * * * * [progress]: [ 3 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (* 1 (- 1/2 (/ k 2)))))))>
48.016 * * * * [progress]: [ 4 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2))))))>
48.016 * * * * [progress]: [ 5 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
48.017 * * * * [progress]: [ 6 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
48.017 * * * * [progress]: [ 7 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))))>
48.017 * * * * [progress]: [ 8 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
48.017 * * * * [progress]: [ 9 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
48.017 * * * * [progress]: [ 10 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))))>
48.017 * * * * [progress]: [ 11 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
48.017 * * * * [progress]: [ 12 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
48.017 * * * * [progress]: [ 13 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
48.017 * * * * [progress]: [ 14 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
48.017 * * * * [progress]: [ 15 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
48.017 * * * * [progress]: [ 16 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1))))>
48.017 * * * * [progress]: [ 17 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (exp (log (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 18 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (log (exp (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 19 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 20 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 21 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 22 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* 1 (pow PI (- 1/2 (/ k 2)))))))>
48.018 * * * * [progress]: [ 23 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
48.018 * * * * [progress]: [ 24 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))>
48.018 * * * * [progress]: [ 25 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 26 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 27 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 28 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 29 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 30 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.018 * * * * [progress]: [ 31 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 32 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 33 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 34 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 35 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 36 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 37 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 38 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 39 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 40 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 41 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 42 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 43 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.019 * * * * [progress]: [ 44 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1)) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 45 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 46 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (exp (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 47 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (exp (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 48 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 49 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 50 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 51 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 52 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 53 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (- (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (- (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.020 * * * * [progress]: [ 54 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 55 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 56 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 57 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1)) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 58 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 59 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 60 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 61 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 62 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 63 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 64 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 65 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) 1) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.021 * * * * [progress]: [ 66 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 67 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 68 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 69 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 70 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 71 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) 1/2)) 1) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 72 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 73 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 74 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 75 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 76 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 77 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.022 * * * * [progress]: [ 78 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 79 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 80 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 81 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1)) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 82 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 83 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 84 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 85 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 86 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 87 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 88 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 89 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 90 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.023 * * * * [progress]: [ 91 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 92 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 93 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 94 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 95 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt 1) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 96 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 97 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 98 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 99 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.024 * * * * [progress]: [ 100 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 101 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) 1) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 102 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 103 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 104 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 105 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 106 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 107 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 108 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 109 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 110 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 111 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.025 * * * * [progress]: [ 112 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 113 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (/ 1 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 114 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 115 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 116 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 117 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 118 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 119 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 120 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 121 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 122 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 123 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 124 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.026 * * * * [progress]: [ 125 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 126 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 127 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 128 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 129 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 130 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 131 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 132 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 133 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (* (sqrt k) (sqrt (pow (* n 2) (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 134 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (posit16->real (real->posit16 (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 135 / 259 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 136 / 259 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.027 * * * * [progress]: [ 137 / 259 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 138 / 259 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 139 / 259 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 140 / 259 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 141 / 259 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 142 / 259 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 143 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (cbrt (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 144 / 259 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 145 / 259 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 146 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 147 / 259 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) 1/2)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 148 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.028 * * * * [progress]: [ 149 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 150 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 151 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 152 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 153 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 154 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 155 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 156 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 157 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 158 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 159 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 160 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.029 * * * * [progress]: [ 161 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 162 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 163 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 164 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 165 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 166 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 167 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 168 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 169 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 170 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 171 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.030 * * * * [progress]: [ 172 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 173 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 174 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 175 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 176 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 177 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 178 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 179 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 180 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 181 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 182 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 183 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 184 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.031 * * * * [progress]: [ 185 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 186 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 187 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 188 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 189 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) 1/2)) 1)) (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 190 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 191 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 192 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 193 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt 1))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 194 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 195 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 196 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.032 * * * * [progress]: [ 197 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 198 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 199 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 200 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 201 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)) (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 202 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 203 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 204 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 205 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 206 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 207 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 208 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.033 * * * * [progress]: [ 209 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 210 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 211 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 212 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 213 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 214 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 215 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 216 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 217 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 218 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 219 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) 1)) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 220 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.034 * * * * [progress]: [ 221 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 222 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 223 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 224 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 225 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 226 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 227 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 228 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 229 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt 1))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 230 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 231 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 232 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 233 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.035 * * * * [progress]: [ 234 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 235 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) 1/2)) (* (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 236 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) 1/2)) (* (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 237 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 238 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (sqrt (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 239 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 240 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt 1) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 241 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (* (sqrt (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 242 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 243 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 244 / 259 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 245 / 259 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) 1/2)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 246 / 259 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.036 * * * * [progress]: [ 247 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 248 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))))>
48.037 * * * * [progress]: [ 249 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (* 1/2 k))))))>
48.037 * * * * [progress]: [ 250 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (* 1/2 k))))))>
48.037 * * * * [progress]: [ 251 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 252 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 253 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 254 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (pow k 2))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (log n) (pow k 2)))))))))))))))))))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 255 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (/ (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3) (pow k 3))))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 256 / 259 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 k))) (- (+ (* +nan.0 (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (pow k 2)))))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.037 * * * * [progress]: [ 257 / 259 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 3) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 3) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))) (- (+ (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))) (- (+ (* +nan.0 (* (log 2) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) (pow k 2))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))))) (- (* +nan.0 (* (pow (exp (* 1/2 (+ (log 2) (log n)))) 2) (* (pow (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 2) k)))))))))))))))))))))))))))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.038 * * * * [progress]: [ 258 / 259 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 3) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 3)) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 2) (pow (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 2)) (pow k 2)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.038 * * * * [progress]: [ 259 / 259 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (pow k 2)))) (- (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 k)))))))) (sqrt (pow PI (- 1/2 (/ k 2))))))>
48.044 * [simplify]: Simplifying:
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k)))
  (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (exp (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) k)
  (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (- (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) 1)
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt 1))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) 1/2)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) 1/2)) 1)
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt 1))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1)
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt 1))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) 1)
  (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt k) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (sqrt k) (sqrt (pow (* n 2) (/ k 2))))
  (real->posit16 (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (+ (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- (log (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))))
  (+ (log (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (log (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (exp (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
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  (- (+ (* +nan.0 (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (pow k 2)))) (- (* +nan.0 (* (sqrt (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 k))))))))
48.058 * * [simplify]: iteration 0: 522 enodes
48.301 * * [simplify]: iteration 1: 1430 enodes
48.880 * * [simplify]: iteration 2: 4755 enodes
50.151 * * [simplify]: iteration complete: 5001 enodes
50.151 * * [simplify]: Extracting #0: cost 173 inf + 0
50.165 * * [simplify]: Extracting #1: cost 628 inf + 2
50.172 * * [simplify]: Extracting #2: cost 965 inf + 4502
50.187 * * [simplify]: Extracting #3: cost 1004 inf + 39352
50.220 * * [simplify]: Extracting #4: cost 761 inf + 204633
50.303 * * [simplify]: Extracting #5: cost 480 inf + 450145
50.415 * * [simplify]: Extracting #6: cost 342 inf + 568838
50.557 * * [simplify]: Extracting #7: cost 273 inf + 626873
50.772 * * [simplify]: Extracting #8: cost 213 inf + 678684
50.920 * * [simplify]: Extracting #9: cost 194 inf + 705966
51.129 * * [simplify]: Extracting #10: cost 153 inf + 755309
51.358 * * [simplify]: Extracting #11: cost 102 inf + 808243
51.594 * * [simplify]: Extracting #12: cost 56 inf + 833630
51.875 * * [simplify]: Extracting #13: cost 18 inf + 861608
52.109 * * [simplify]: Extracting #14: cost 0 inf + 874462
52.368 * * [simplify]: Extracting #15: cost 0 inf + 872279
52.595 * * [simplify]: Extracting #16: cost 0 inf + 872155
52.904 * [simplify]: Simplified to:
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (pow (pow PI (- 1/2 (/ k 2))) 3)
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ k 4)))
  (pow PI (- 1/4 (/ k 4)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (exp (+ (* PI n) (* PI n)))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) 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 PI) (cbrt PI)) (* n 2))
  (* (* (sqrt PI) 2) n)
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* PI 2) n))
  (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (log (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (exp (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) k)
  (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (- (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (fabs (cbrt k)))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (* n 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* n 2)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* n 2)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (* n 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* n 2)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (sqrt (* n 2)))
  (/ (sqrt (pow (* n 2) (- (/ k 2)))) (sqrt k))
  (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt k))
  (/ (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* n 2) (- 1/4 (/ k 4))))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt k))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (pow (* n 2) (- 1/4 (/ k 4))))
  (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt k))
  (/ (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  1
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2)))))
  (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/4 (/ k 4)))))
  (/ (sqrt k) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n 2) (/ k 2))) (sqrt k))
  (real->posit16 (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (log (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (log (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (log (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (exp (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) k))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) k))))
  (* (cbrt (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) (cbrt (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))))
  (cbrt (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (* (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) k) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) k)
  (sqrt (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (sqrt (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (sqrt (sqrt (* (* PI 2) n))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (/ k 2))) (sqrt k))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (* (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (fabs (cbrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (sqrt (sqrt (* n 2)))))
  (* (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2))))
  (* (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (sqrt (sqrt (* n 2)))))
  (* (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2))))
  (* (/ (sqrt (sqrt (* n 2))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (* n 2))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (cbrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (fabs (cbrt k))))
  (/ (* (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (* (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (fabs (cbrt k)))
  (/ (* (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (- 1/4 (/ k 4))))))
  (* (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4)))))
  (* (/ (sqrt (pow (* n 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/4 (/ k 4)))))
  (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (fabs (cbrt k)))
  (/ (* (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- (/ k 2))))) (sqrt k))
  (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- (/ k 2))))) (sqrt k))
  (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))) (sqrt k))
  (/ (sqrt (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (* (sqrt (sqrt (* (* PI 2) n))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))
  (real->posit16 (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)))
  (+ (sqrt PI) (* (sqrt PI) (- (* (* 1/8 (* (log PI) (log PI))) (* k k)) (* 1/2 (* k (log PI))))))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (- (* (* (* +nan.0 (log 2)) (* k k)) (* (sqrt (* n 2)) (sqrt (* n 2))))) (+ (* (- (* (* (sqrt (* n 2)) (sqrt (* n 2))) (* (sqrt (* n 2)) (* k k)))) +nan.0) (+ (+ (* (* (* +nan.0 (log 2)) (log 2)) (* (sqrt (* n 2)) (* k k))) (* (- (* +nan.0 (log 2))) (* (* (sqrt (* n 2)) (* k k)) (log n)))) (- (* (* +nan.0 k) (* (sqrt (* n 2)) (sqrt (* n 2)))) (- (* (* (* (* k k) (log n)) (log n)) (* +nan.0 (sqrt (* n 2)))) (+ (- (* +nan.0 (sqrt (* n 2))) (* (* (* +nan.0 (log 2)) (sqrt (* n 2))) k)) (* +nan.0 (- (* (* k (log n)) (sqrt (* n 2))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (* (* k k) (log n)))))))))))
  (+ (- (* (* (/ (pow (* n 2) (- 1/2 (* k 1/2))) k) (/ (pow (* n 2) (- 1/2 (* k 1/2))) k)) +nan.0)) (* +nan.0 (- (/ (pow (* n 2) (- 1/2 (* k 1/2))) k) (/ (* (* (pow (* n 2) (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (* k 1/2)))) (pow (* n 2) (- 1/2 (* k 1/2)))) (* k (* k k))))))
  (+ (* (/ (sqrt (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2))))) k) (- +nan.0)) (* +nan.0 (- (sqrt (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2))))) (/ (sqrt (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2))))) (* k k)))))
  (+ (* (- +nan.0) (* (* (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* k k)) (* (sqrt (* n 2)) (sqrt (* n 2)))) (sqrt (* n 2)))) (+ (* (- +nan.0) (* (* (sqrt (* n 2)) (* (log (* 2 PI)) (log (* 2 PI)))) (* (sqrt (* (* PI 2) n)) (* k k)))) (+ (- (- (* (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))) (* (* (* (* k k) (log n)) (log n)) +nan.0)) (* (* (sqrt (* n 2)) (* (* k (log n)) (sqrt (* (* PI 2) n)))) +nan.0)) (+ (* (* (* (* (sqrt (* n 2)) (log (* 2 PI))) (sqrt (* (* PI 2) n))) k) (- +nan.0)) (- (- (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2)))) (* (* (* k k) (log n)) +nan.0)) (* (* (log 2) (log (* 2 PI))) (* (* (sqrt (* (* PI 2) n)) (* (sqrt (* n 2)) (* k k))) +nan.0))) (+ (- (- (* (* k (* (sqrt (* (* PI 2) n)) (sqrt (* n 2)))) (* +nan.0 (log 2))) (* (* (* k k) (* (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))))) (* +nan.0 (log 2)))) (+ (- (- (* (* (sqrt (* (* PI 2) n)) (* (sqrt (* n 2)) (* k k))) (* (* +nan.0 (log 2)) (log 2))) (* (* (* (* k k) (log n)) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2)))) (* +nan.0 (log 2)))) (* (- +nan.0) (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2)))) k))) (* (- (* +nan.0 (log (* 2 PI)))) (* (* k k) (* (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2)))))))) (* (- (* +nan.0 (log (* 2 PI)))) (* (* (* k k) (log n)) (* (sqrt (* (* PI 2) n)) (sqrt (* n 2))))))))) (* (sqrt (* n 2)) (* +nan.0 (sqrt (* (* PI 2) n)))))))
  (+ (* (/ (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (/ k (pow (* n 2) (- 1/2 (* k 1/2))))) (- +nan.0)) (+ (* (- +nan.0) (/ (* (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (pow (* (* PI 2) n) (- 1/2 (* k 1/2)))) (* (/ k (pow (* n 2) (- 1/2 (* k 1/2)))) (/ k (pow (* n 2) (- 1/2 (* k 1/2))))))) (/ (* +nan.0 (* (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (* (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (pow (* (* PI 2) n) (- 1/2 (* k 1/2)))))) (/ (/ (* k (* k k)) (pow (* n 2) (- 1/2 (* k 1/2)))) (* (pow (* n 2) (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (* k 1/2))))))))
  (- (- (* (sqrt (exp (* (- 1/2 (* k 1/2)) (+ (- (log -2) (log (/ -1 n))) (- (log (* PI -2)) (log (/ -1 n))))))) +nan.0) (* +nan.0 (- (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (+ (- (log -2) (log (/ -1 n))) (- (log (* PI -2)) (log (/ -1 n))))))) (* k k)) (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (+ (- (log -2) (log (/ -1 n))) (- (log (* PI -2)) (log (/ -1 n))))))) k)))))
52.961 * * * [progress]: adding candidates to table
54.382 * [progress]: [Phase 3 of 3] Extracting.
54.382 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (sqrt (* (* n 2) PI)) (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>)
54.384 * * * [regime-changes]: Trying 2 branch expressions: (n k)
54.385 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (sqrt (* (* n 2) PI)) (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>)
54.457 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (sqrt (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ 1 (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (sqrt (* (* n 2) PI)) (/ (pow (* (* n 2) PI) (* k -1/2)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))))))>)
54.538 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
54.538 * [simplify]: Simplifying:
  (* (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
54.538 * * [simplify]: iteration 0: 19 enodes
54.539 * * [simplify]: iteration 1: 23 enodes
54.540 * * [simplify]: iteration complete: 23 enodes
54.540 * * [simplify]: Extracting #0: cost 1 inf + 0
54.540 * * [simplify]: Extracting #1: cost 3 inf + 0
54.540 * * [simplify]: Extracting #2: cost 6 inf + 0
54.540 * * [simplify]: Extracting #3: cost 11 inf + 0
54.540 * * [simplify]: Extracting #4: cost 15 inf + 1
54.540 * * [simplify]: Extracting #5: cost 14 inf + 44
54.540 * * [simplify]: Extracting #6: cost 13 inf + 87
54.540 * * [simplify]: Extracting #7: cost 10 inf + 465
54.540 * * [simplify]: Extracting #8: cost 5 inf + 1633
54.540 * * [simplify]: Extracting #9: cost 1 inf + 3661
54.541 * * [simplify]: Extracting #10: cost 0 inf + 4736
54.541 * [simplify]: Simplified to:
  (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))
63.653 * [regime-testing]: Baseline error score: 0.4716095607311701
63.656 * [regime-testing]: Oracle error score: 0.071745866327267
63.660 * [regime-testing]: End program error score: 0.4716095607311701