0.003 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.264 * * * [progress]: [2/2] Setting up program.
0.270 * [progress]: [Phase 2 of 3] Improving.
0.270 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.271 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.271 * * [simplify]: iteration 1: (13 enodes)
0.283 * * [simplify]: iteration 2: (57 enodes)
0.300 * * [simplify]: iteration 3: (102 enodes)
0.321 * * [simplify]: iteration 4: (189 enodes)
0.387 * * [simplify]: iteration 5: (376 enodes)
0.562 * * [simplify]: iteration 6: (949 enodes)
1.454 * * [simplify]: Extracting #0: cost 1 inf + 0
1.454 * * [simplify]: Extracting #1: cost 59 inf + 0
1.457 * * [simplify]: Extracting #2: cost 220 inf + 1
1.459 * * [simplify]: Extracting #3: cost 281 inf + 210
1.463 * * [simplify]: Extracting #4: cost 293 inf + 1056
1.470 * * [simplify]: Extracting #5: cost 217 inf + 10983
1.486 * * [simplify]: Extracting #6: cost 139 inf + 50407
1.526 * * [simplify]: Extracting #7: cost 26 inf + 145304
1.570 * * [simplify]: Extracting #8: cost 0 inf + 167058
1.626 * * [simplify]: Extracting #9: cost 0 inf + 165504
1.675 * * [simplify]: Extracting #10: cost 0 inf + 164849
1.741 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
1.752 * * [progress]: iteration 1 / 4
1.752 * * * [progress]: picking best candidate
1.758 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1.758 * * * [progress]: localizing error
1.779 * * * [progress]: generating rewritten candidates
1.779 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.816 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.841 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.896 * * * [progress]: generating series expansions
1.896 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.897 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.897 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.897 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.897 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.897 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.897 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.897 * [taylor]: Taking taylor expansion of 1/2 in k
1.897 * [backup-simplify]: Simplify 1/2 into 1/2
1.897 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.897 * [taylor]: Taking taylor expansion of 1/2 in k
1.897 * [backup-simplify]: Simplify 1/2 into 1/2
1.897 * [taylor]: Taking taylor expansion of k in k
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 1 into 1
1.897 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.897 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.897 * [taylor]: Taking taylor expansion of 2 in k
1.897 * [backup-simplify]: Simplify 2 into 2
1.897 * [taylor]: Taking taylor expansion of (* n PI) in k
1.897 * [taylor]: Taking taylor expansion of n in k
1.897 * [backup-simplify]: Simplify n into n
1.897 * [taylor]: Taking taylor expansion of PI in k
1.898 * [backup-simplify]: Simplify PI into PI
1.898 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.898 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.898 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.898 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.899 * [backup-simplify]: Simplify (- 0) into 0
1.899 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.899 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.899 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.899 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.899 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.900 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.900 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.900 * [taylor]: Taking taylor expansion of 1/2 in n
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.900 * [taylor]: Taking taylor expansion of 1/2 in n
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of k in n
1.900 * [backup-simplify]: Simplify k into k
1.900 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.900 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.900 * [taylor]: Taking taylor expansion of 2 in n
1.900 * [backup-simplify]: Simplify 2 into 2
1.900 * [taylor]: Taking taylor expansion of (* n PI) in n
1.900 * [taylor]: Taking taylor expansion of n in n
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.900 * [taylor]: Taking taylor expansion of PI in n
1.900 * [backup-simplify]: Simplify PI into PI
1.901 * [backup-simplify]: Simplify (* 0 PI) into 0
1.901 * [backup-simplify]: Simplify (* 2 0) into 0
1.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.904 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.905 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.906 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.906 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.906 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.908 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.909 * [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)))))
1.909 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.909 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.909 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.909 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.909 * [taylor]: Taking taylor expansion of 1/2 in n
1.909 * [backup-simplify]: Simplify 1/2 into 1/2
1.909 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.909 * [taylor]: Taking taylor expansion of 1/2 in n
1.909 * [backup-simplify]: Simplify 1/2 into 1/2
1.909 * [taylor]: Taking taylor expansion of k in n
1.909 * [backup-simplify]: Simplify k into k
1.909 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.909 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.909 * [taylor]: Taking taylor expansion of 2 in n
1.909 * [backup-simplify]: Simplify 2 into 2
1.909 * [taylor]: Taking taylor expansion of (* n PI) in n
1.909 * [taylor]: Taking taylor expansion of n in n
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 1 into 1
1.909 * [taylor]: Taking taylor expansion of PI in n
1.909 * [backup-simplify]: Simplify PI into PI
1.909 * [backup-simplify]: Simplify (* 0 PI) into 0
1.910 * [backup-simplify]: Simplify (* 2 0) into 0
1.910 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.269 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.270 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.270 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.270 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.270 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.272 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.272 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.273 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.273 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.273 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.273 * [taylor]: Taking taylor expansion of 1/2 in k
2.273 * [backup-simplify]: Simplify 1/2 into 1/2
2.273 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.273 * [taylor]: Taking taylor expansion of 1/2 in k
2.273 * [backup-simplify]: Simplify 1/2 into 1/2
2.273 * [taylor]: Taking taylor expansion of k in k
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.273 * [taylor]: Taking taylor expansion of (log n) in k
2.273 * [taylor]: Taking taylor expansion of n in k
2.273 * [backup-simplify]: Simplify n into n
2.273 * [backup-simplify]: Simplify (log n) into (log n)
2.273 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.273 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.273 * [taylor]: Taking taylor expansion of 2 in k
2.273 * [backup-simplify]: Simplify 2 into 2
2.273 * [taylor]: Taking taylor expansion of PI in k
2.273 * [backup-simplify]: Simplify PI into PI
2.273 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.274 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.274 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.274 * [backup-simplify]: Simplify (- 0) into 0
2.275 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.275 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.276 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.277 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.277 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.282 * [backup-simplify]: Simplify (- 0) into 0
2.282 * [backup-simplify]: Simplify (+ 0 0) into 0
2.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.284 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.286 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.286 * [taylor]: Taking taylor expansion of 0 in k
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.288 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.290 * [backup-simplify]: Simplify (+ 0 0) into 0
2.291 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.291 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.292 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.296 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.298 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.302 * [backup-simplify]: Simplify (- 0) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.304 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.305 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.305 * [taylor]: Taking taylor expansion of 0 in k
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.309 * [backup-simplify]: Simplify (+ 0 0) into 0
2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.310 * [backup-simplify]: Simplify (- 0) into 0
2.310 * [backup-simplify]: Simplify (+ 0 0) into 0
2.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.313 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.316 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.322 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
2.322 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.322 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.322 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.322 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.323 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.323 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.323 * [taylor]: Taking taylor expansion of 1/2 in k
2.323 * [backup-simplify]: Simplify 1/2 into 1/2
2.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.323 * [taylor]: Taking taylor expansion of 1/2 in k
2.323 * [backup-simplify]: Simplify 1/2 into 1/2
2.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.323 * [taylor]: Taking taylor expansion of k in k
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.323 * [backup-simplify]: Simplify (/ 1 1) into 1
2.323 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.323 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.323 * [taylor]: Taking taylor expansion of 2 in k
2.323 * [backup-simplify]: Simplify 2 into 2
2.323 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.323 * [taylor]: Taking taylor expansion of PI in k
2.323 * [backup-simplify]: Simplify PI into PI
2.323 * [taylor]: Taking taylor expansion of n in k
2.323 * [backup-simplify]: Simplify n into n
2.323 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.323 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.323 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.323 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.324 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.324 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.324 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.324 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.324 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.324 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.324 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.324 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.324 * [taylor]: Taking taylor expansion of 1/2 in n
2.324 * [backup-simplify]: Simplify 1/2 into 1/2
2.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.324 * [taylor]: Taking taylor expansion of 1/2 in n
2.324 * [backup-simplify]: Simplify 1/2 into 1/2
2.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.324 * [taylor]: Taking taylor expansion of k in n
2.324 * [backup-simplify]: Simplify k into k
2.324 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.324 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.324 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.324 * [taylor]: Taking taylor expansion of 2 in n
2.324 * [backup-simplify]: Simplify 2 into 2
2.325 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.325 * [taylor]: Taking taylor expansion of PI in n
2.325 * [backup-simplify]: Simplify PI into PI
2.325 * [taylor]: Taking taylor expansion of n in n
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 1 into 1
2.325 * [backup-simplify]: Simplify (/ PI 1) into PI
2.325 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.326 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.326 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.326 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.326 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.327 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.328 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.328 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.328 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.328 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.328 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.328 * [taylor]: Taking taylor expansion of 1/2 in n
2.328 * [backup-simplify]: Simplify 1/2 into 1/2
2.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.328 * [taylor]: Taking taylor expansion of 1/2 in n
2.328 * [backup-simplify]: Simplify 1/2 into 1/2
2.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.328 * [taylor]: Taking taylor expansion of k in n
2.328 * [backup-simplify]: Simplify k into k
2.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.328 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.328 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.328 * [taylor]: Taking taylor expansion of 2 in n
2.328 * [backup-simplify]: Simplify 2 into 2
2.328 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.328 * [taylor]: Taking taylor expansion of PI in n
2.328 * [backup-simplify]: Simplify PI into PI
2.328 * [taylor]: Taking taylor expansion of n in n
2.328 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.329 * [backup-simplify]: Simplify (/ PI 1) into PI
2.329 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.330 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.330 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.330 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.330 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.331 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.332 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.333 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.333 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.333 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.333 * [taylor]: Taking taylor expansion of 1/2 in k
2.333 * [backup-simplify]: Simplify 1/2 into 1/2
2.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.333 * [taylor]: Taking taylor expansion of 1/2 in k
2.333 * [backup-simplify]: Simplify 1/2 into 1/2
2.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.333 * [taylor]: Taking taylor expansion of k in k
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (/ 1 1) into 1
2.333 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.333 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.333 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.333 * [taylor]: Taking taylor expansion of 2 in k
2.333 * [backup-simplify]: Simplify 2 into 2
2.333 * [taylor]: Taking taylor expansion of PI in k
2.333 * [backup-simplify]: Simplify PI into PI
2.334 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.335 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.335 * [taylor]: Taking taylor expansion of (log n) in k
2.335 * [taylor]: Taking taylor expansion of n in k
2.335 * [backup-simplify]: Simplify n into n
2.335 * [backup-simplify]: Simplify (log n) into (log n)
2.335 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.336 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.336 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.336 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.337 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.338 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.339 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.341 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.343 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.346 * [backup-simplify]: Simplify (- 0) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.349 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.351 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.351 * [taylor]: Taking taylor expansion of 0 in k
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.358 * [backup-simplify]: Simplify (- 0) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.361 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.364 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.364 * [taylor]: Taking taylor expansion of 0 in k
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.373 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.375 * [backup-simplify]: Simplify (- 0) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.379 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.386 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.386 * [taylor]: Taking taylor expansion of 0 in k
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
2.388 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.388 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.388 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.388 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.388 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.388 * [taylor]: Taking taylor expansion of 1/2 in k
2.388 * [backup-simplify]: Simplify 1/2 into 1/2
2.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.388 * [taylor]: Taking taylor expansion of k in k
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify (/ 1 1) into 1
2.389 * [taylor]: Taking taylor expansion of 1/2 in k
2.389 * [backup-simplify]: Simplify 1/2 into 1/2
2.389 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.389 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.389 * [taylor]: Taking taylor expansion of -2 in k
2.389 * [backup-simplify]: Simplify -2 into -2
2.389 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.389 * [taylor]: Taking taylor expansion of PI in k
2.389 * [backup-simplify]: Simplify PI into PI
2.389 * [taylor]: Taking taylor expansion of n in k
2.389 * [backup-simplify]: Simplify n into n
2.389 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.389 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.389 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.390 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.390 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.390 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.391 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.391 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.391 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.391 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.391 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.391 * [taylor]: Taking taylor expansion of 1/2 in n
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.391 * [taylor]: Taking taylor expansion of k in n
2.391 * [backup-simplify]: Simplify k into k
2.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.391 * [taylor]: Taking taylor expansion of 1/2 in n
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.391 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.391 * [taylor]: Taking taylor expansion of -2 in n
2.391 * [backup-simplify]: Simplify -2 into -2
2.391 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.391 * [taylor]: Taking taylor expansion of PI in n
2.391 * [backup-simplify]: Simplify PI into PI
2.391 * [taylor]: Taking taylor expansion of n in n
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (/ PI 1) into PI
2.392 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.393 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.393 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.393 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.396 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.397 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.397 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.397 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.397 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.397 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.397 * [taylor]: Taking taylor expansion of 1/2 in n
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.397 * [taylor]: Taking taylor expansion of k in n
2.397 * [backup-simplify]: Simplify k into k
2.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.397 * [taylor]: Taking taylor expansion of 1/2 in n
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.397 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.397 * [taylor]: Taking taylor expansion of -2 in n
2.397 * [backup-simplify]: Simplify -2 into -2
2.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.398 * [taylor]: Taking taylor expansion of PI in n
2.398 * [backup-simplify]: Simplify PI into PI
2.398 * [taylor]: Taking taylor expansion of n in n
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (/ PI 1) into PI
2.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.399 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.400 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.400 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.402 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.403 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.403 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.403 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.403 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.403 * [taylor]: Taking taylor expansion of 1/2 in k
2.404 * [backup-simplify]: Simplify 1/2 into 1/2
2.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.404 * [taylor]: Taking taylor expansion of k in k
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [backup-simplify]: Simplify (/ 1 1) into 1
2.404 * [taylor]: Taking taylor expansion of 1/2 in k
2.404 * [backup-simplify]: Simplify 1/2 into 1/2
2.404 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.404 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.404 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.404 * [taylor]: Taking taylor expansion of -2 in k
2.404 * [backup-simplify]: Simplify -2 into -2
2.404 * [taylor]: Taking taylor expansion of PI in k
2.404 * [backup-simplify]: Simplify PI into PI
2.405 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.405 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.406 * [taylor]: Taking taylor expansion of (log n) in k
2.406 * [taylor]: Taking taylor expansion of n in k
2.406 * [backup-simplify]: Simplify n into n
2.406 * [backup-simplify]: Simplify (log n) into (log n)
2.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.406 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.407 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.408 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.409 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.410 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.411 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.417 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.418 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.420 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.420 * [taylor]: Taking taylor expansion of 0 in k
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.431 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.433 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.433 * [taylor]: Taking taylor expansion of 0 in k
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.442 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
2.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.444 * [backup-simplify]: Simplify (+ 0 0) into 0
2.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.447 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.450 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.450 * [taylor]: Taking taylor expansion of 0 in k
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.451 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.452 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.452 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.452 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.452 * [taylor]: Taking taylor expansion of 2 in n
2.452 * [backup-simplify]: Simplify 2 into 2
2.452 * [taylor]: Taking taylor expansion of (* n PI) in n
2.452 * [taylor]: Taking taylor expansion of n in n
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [taylor]: Taking taylor expansion of PI in n
2.452 * [backup-simplify]: Simplify PI into PI
2.452 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.452 * [taylor]: Taking taylor expansion of 2 in n
2.452 * [backup-simplify]: Simplify 2 into 2
2.452 * [taylor]: Taking taylor expansion of (* n PI) in n
2.452 * [taylor]: Taking taylor expansion of n in n
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [taylor]: Taking taylor expansion of PI in n
2.452 * [backup-simplify]: Simplify PI into PI
2.453 * [backup-simplify]: Simplify (* 0 PI) into 0
2.453 * [backup-simplify]: Simplify (* 2 0) into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.456 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.470 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.475 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.475 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.475 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.475 * [taylor]: Taking taylor expansion of 2 in n
2.475 * [backup-simplify]: Simplify 2 into 2
2.475 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.475 * [taylor]: Taking taylor expansion of PI in n
2.475 * [backup-simplify]: Simplify PI into PI
2.475 * [taylor]: Taking taylor expansion of n in n
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (/ PI 1) into PI
2.476 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.476 * [taylor]: Taking taylor expansion of 2 in n
2.476 * [backup-simplify]: Simplify 2 into 2
2.476 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.476 * [taylor]: Taking taylor expansion of PI in n
2.476 * [backup-simplify]: Simplify PI into PI
2.476 * [taylor]: Taking taylor expansion of n in n
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (/ PI 1) into PI
2.477 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.477 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.479 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.484 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.486 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.489 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.492 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.493 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.493 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.493 * [taylor]: Taking taylor expansion of -2 in n
2.493 * [backup-simplify]: Simplify -2 into -2
2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.493 * [taylor]: Taking taylor expansion of PI in n
2.493 * [backup-simplify]: Simplify PI into PI
2.493 * [taylor]: Taking taylor expansion of n in n
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (/ PI 1) into PI
2.493 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.493 * [taylor]: Taking taylor expansion of -2 in n
2.493 * [backup-simplify]: Simplify -2 into -2
2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.493 * [taylor]: Taking taylor expansion of PI in n
2.493 * [backup-simplify]: Simplify PI into PI
2.493 * [taylor]: Taking taylor expansion of n in n
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ PI 1) into PI
2.494 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.495 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.503 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.509 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.510 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.510 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.510 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.510 * [taylor]: Taking taylor expansion of k in k
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.511 * [backup-simplify]: Simplify (sqrt 0) into 0
2.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.512 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.512 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.512 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.512 * [taylor]: Taking taylor expansion of 1/2 in k
2.512 * [backup-simplify]: Simplify 1/2 into 1/2
2.512 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.512 * [taylor]: Taking taylor expansion of 1/2 in k
2.512 * [backup-simplify]: Simplify 1/2 into 1/2
2.512 * [taylor]: Taking taylor expansion of k in k
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.512 * [taylor]: Taking taylor expansion of 2 in k
2.512 * [backup-simplify]: Simplify 2 into 2
2.512 * [taylor]: Taking taylor expansion of (* n PI) in k
2.512 * [taylor]: Taking taylor expansion of n in k
2.513 * [backup-simplify]: Simplify n into n
2.513 * [taylor]: Taking taylor expansion of PI in k
2.513 * [backup-simplify]: Simplify PI into PI
2.513 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.513 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.513 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.513 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.513 * [backup-simplify]: Simplify (- 0) into 0
2.514 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.514 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.514 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.514 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.514 * [taylor]: Taking taylor expansion of k in n
2.514 * [backup-simplify]: Simplify k into k
2.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.514 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.515 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.515 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.515 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.515 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.515 * [taylor]: Taking taylor expansion of 1/2 in n
2.515 * [backup-simplify]: Simplify 1/2 into 1/2
2.515 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.515 * [taylor]: Taking taylor expansion of 1/2 in n
2.515 * [backup-simplify]: Simplify 1/2 into 1/2
2.515 * [taylor]: Taking taylor expansion of k in n
2.515 * [backup-simplify]: Simplify k into k
2.515 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.515 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.515 * [taylor]: Taking taylor expansion of 2 in n
2.515 * [backup-simplify]: Simplify 2 into 2
2.515 * [taylor]: Taking taylor expansion of (* n PI) in n
2.515 * [taylor]: Taking taylor expansion of n in n
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [taylor]: Taking taylor expansion of PI in n
2.515 * [backup-simplify]: Simplify PI into PI
2.515 * [backup-simplify]: Simplify (* 0 PI) into 0
2.516 * [backup-simplify]: Simplify (* 2 0) into 0
2.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.519 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.520 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.520 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.520 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.523 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.524 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.525 * [taylor]: Taking taylor expansion of k in n
2.525 * [backup-simplify]: Simplify k into k
2.525 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.525 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.525 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.525 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.525 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.525 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.525 * [taylor]: Taking taylor expansion of 1/2 in n
2.525 * [backup-simplify]: Simplify 1/2 into 1/2
2.525 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.525 * [taylor]: Taking taylor expansion of 1/2 in n
2.525 * [backup-simplify]: Simplify 1/2 into 1/2
2.525 * [taylor]: Taking taylor expansion of k in n
2.525 * [backup-simplify]: Simplify k into k
2.525 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.525 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.525 * [taylor]: Taking taylor expansion of 2 in n
2.525 * [backup-simplify]: Simplify 2 into 2
2.525 * [taylor]: Taking taylor expansion of (* n PI) in n
2.526 * [taylor]: Taking taylor expansion of n in n
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [taylor]: Taking taylor expansion of PI in n
2.526 * [backup-simplify]: Simplify PI into PI
2.526 * [backup-simplify]: Simplify (* 0 PI) into 0
2.527 * [backup-simplify]: Simplify (* 2 0) into 0
2.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.530 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.531 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.531 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.531 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.531 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.537 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.538 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.540 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.540 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.540 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.540 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.540 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.540 * [taylor]: Taking taylor expansion of 1/2 in k
2.540 * [backup-simplify]: Simplify 1/2 into 1/2
2.540 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.540 * [taylor]: Taking taylor expansion of 1/2 in k
2.540 * [backup-simplify]: Simplify 1/2 into 1/2
2.540 * [taylor]: Taking taylor expansion of k in k
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.540 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.540 * [taylor]: Taking taylor expansion of (log n) in k
2.540 * [taylor]: Taking taylor expansion of n in k
2.540 * [backup-simplify]: Simplify n into n
2.540 * [backup-simplify]: Simplify (log n) into (log n)
2.540 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.540 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.540 * [taylor]: Taking taylor expansion of 2 in k
2.540 * [backup-simplify]: Simplify 2 into 2
2.541 * [taylor]: Taking taylor expansion of PI in k
2.541 * [backup-simplify]: Simplify PI into PI
2.541 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.542 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.543 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.545 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.546 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.547 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.547 * [taylor]: Taking taylor expansion of k in k
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify (/ 1 1) into 1
2.548 * [backup-simplify]: Simplify (sqrt 0) into 0
2.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.551 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.551 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.554 * [backup-simplify]: Simplify (- 0) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.556 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.557 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.557 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.557 * [taylor]: Taking taylor expansion of 0 in k
2.557 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.558 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.560 * [backup-simplify]: Simplify (+ 0 0) into 0
2.560 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.560 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.561 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.564 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.566 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.567 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.571 * [backup-simplify]: Simplify (- 0) into 0
2.571 * [backup-simplify]: Simplify (+ 0 0) into 0
2.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.574 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.575 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.577 * [taylor]: Taking taylor expansion of 0 in k
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.579 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.581 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.583 * [backup-simplify]: Simplify (+ 0 0) into 0
2.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.584 * [backup-simplify]: Simplify (- 0) into 0
2.584 * [backup-simplify]: Simplify (+ 0 0) into 0
2.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.587 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.596 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.601 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.610 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.611 * [backup-simplify]: Simplify (- 0) into 0
2.612 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.615 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.618 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.621 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.621 * [taylor]: Taking taylor expansion of 0 in k
2.621 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.630 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.638 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.639 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.641 * [backup-simplify]: Simplify (- 0) into 0
2.641 * [backup-simplify]: Simplify (+ 0 0) into 0
2.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.650 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.670 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.682 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.697 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.697 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.697 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.697 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.697 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.697 * [taylor]: Taking taylor expansion of k in k
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (sqrt 0) into 0
2.698 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.699 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.699 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.699 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.699 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.699 * [taylor]: Taking taylor expansion of 1/2 in k
2.699 * [backup-simplify]: Simplify 1/2 into 1/2
2.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.699 * [taylor]: Taking taylor expansion of 1/2 in k
2.699 * [backup-simplify]: Simplify 1/2 into 1/2
2.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.699 * [taylor]: Taking taylor expansion of k in k
2.699 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify 1 into 1
2.699 * [backup-simplify]: Simplify (/ 1 1) into 1
2.699 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.699 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.699 * [taylor]: Taking taylor expansion of 2 in k
2.699 * [backup-simplify]: Simplify 2 into 2
2.699 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.699 * [taylor]: Taking taylor expansion of PI in k
2.699 * [backup-simplify]: Simplify PI into PI
2.699 * [taylor]: Taking taylor expansion of n in k
2.699 * [backup-simplify]: Simplify n into n
2.699 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.699 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.699 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.700 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.700 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.700 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.700 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.700 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.700 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.700 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.700 * [taylor]: Taking taylor expansion of k in n
2.700 * [backup-simplify]: Simplify k into k
2.700 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.700 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.700 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.700 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.700 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.700 * [taylor]: Taking taylor expansion of 1/2 in n
2.700 * [backup-simplify]: Simplify 1/2 into 1/2
2.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.701 * [taylor]: Taking taylor expansion of 1/2 in n
2.701 * [backup-simplify]: Simplify 1/2 into 1/2
2.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.701 * [taylor]: Taking taylor expansion of k in n
2.701 * [backup-simplify]: Simplify k into k
2.701 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.701 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.701 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.701 * [taylor]: Taking taylor expansion of 2 in n
2.701 * [backup-simplify]: Simplify 2 into 2
2.701 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.701 * [taylor]: Taking taylor expansion of PI in n
2.701 * [backup-simplify]: Simplify PI into PI
2.701 * [taylor]: Taking taylor expansion of n in n
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (/ PI 1) into PI
2.701 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.702 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.702 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.702 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.702 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.704 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.704 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.704 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.704 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.704 * [taylor]: Taking taylor expansion of k in n
2.705 * [backup-simplify]: Simplify k into k
2.705 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.705 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.705 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.705 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.705 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.705 * [taylor]: Taking taylor expansion of 1/2 in n
2.705 * [backup-simplify]: Simplify 1/2 into 1/2
2.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.705 * [taylor]: Taking taylor expansion of 1/2 in n
2.705 * [backup-simplify]: Simplify 1/2 into 1/2
2.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.705 * [taylor]: Taking taylor expansion of k in n
2.705 * [backup-simplify]: Simplify k into k
2.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.705 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.705 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.705 * [taylor]: Taking taylor expansion of 2 in n
2.705 * [backup-simplify]: Simplify 2 into 2
2.705 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.705 * [taylor]: Taking taylor expansion of PI in n
2.705 * [backup-simplify]: Simplify PI into PI
2.705 * [taylor]: Taking taylor expansion of n in n
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (/ PI 1) into PI
2.706 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.706 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.706 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.708 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.709 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.710 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.710 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.710 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.710 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.710 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.710 * [taylor]: Taking taylor expansion of 1/2 in k
2.710 * [backup-simplify]: Simplify 1/2 into 1/2
2.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.710 * [taylor]: Taking taylor expansion of 1/2 in k
2.710 * [backup-simplify]: Simplify 1/2 into 1/2
2.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.710 * [taylor]: Taking taylor expansion of k in k
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (/ 1 1) into 1
2.710 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.710 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.710 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.710 * [taylor]: Taking taylor expansion of 2 in k
2.710 * [backup-simplify]: Simplify 2 into 2
2.710 * [taylor]: Taking taylor expansion of PI in k
2.710 * [backup-simplify]: Simplify PI into PI
2.710 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.711 * [taylor]: Taking taylor expansion of (log n) in k
2.711 * [taylor]: Taking taylor expansion of n in k
2.711 * [backup-simplify]: Simplify n into n
2.711 * [backup-simplify]: Simplify (log n) into (log n)
2.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.712 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.712 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.713 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.713 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.714 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.714 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.714 * [taylor]: Taking taylor expansion of k in k
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (sqrt 0) into 0
2.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.716 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.718 * [backup-simplify]: Simplify (- 0) into 0
2.719 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.720 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.721 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.722 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.722 * [taylor]: Taking taylor expansion of 0 in k
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.724 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.728 * [backup-simplify]: Simplify (- 0) into 0
2.728 * [backup-simplify]: Simplify (+ 0 0) into 0
2.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.730 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.732 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.733 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.733 * [taylor]: Taking taylor expansion of 0 in k
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.736 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.737 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.743 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.745 * [backup-simplify]: Simplify (- 0) into 0
2.746 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.749 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.752 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.755 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.755 * [taylor]: Taking taylor expansion of 0 in k
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.762 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.763 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.770 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.771 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.771 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.771 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.771 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.771 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.771 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.771 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.771 * [taylor]: Taking taylor expansion of 1/2 in k
2.771 * [backup-simplify]: Simplify 1/2 into 1/2
2.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.771 * [taylor]: Taking taylor expansion of k in k
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.772 * [taylor]: Taking taylor expansion of 1/2 in k
2.772 * [backup-simplify]: Simplify 1/2 into 1/2
2.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.772 * [taylor]: Taking taylor expansion of -2 in k
2.772 * [backup-simplify]: Simplify -2 into -2
2.772 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.772 * [taylor]: Taking taylor expansion of PI in k
2.772 * [backup-simplify]: Simplify PI into PI
2.772 * [taylor]: Taking taylor expansion of n in k
2.772 * [backup-simplify]: Simplify n into n
2.772 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.772 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.772 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.773 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.773 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.774 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.774 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.774 * [taylor]: Taking taylor expansion of -1 in k
2.774 * [backup-simplify]: Simplify -1 into -1
2.774 * [taylor]: Taking taylor expansion of k in k
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.774 * [backup-simplify]: Simplify (/ -1 1) into -1
2.775 * [backup-simplify]: Simplify (sqrt 0) into 0
2.776 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.776 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.776 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.776 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.776 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.776 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.777 * [taylor]: Taking taylor expansion of 1/2 in n
2.777 * [backup-simplify]: Simplify 1/2 into 1/2
2.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.777 * [taylor]: Taking taylor expansion of k in n
2.777 * [backup-simplify]: Simplify k into k
2.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.777 * [taylor]: Taking taylor expansion of 1/2 in n
2.777 * [backup-simplify]: Simplify 1/2 into 1/2
2.777 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.777 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.777 * [taylor]: Taking taylor expansion of -2 in n
2.777 * [backup-simplify]: Simplify -2 into -2
2.777 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.777 * [taylor]: Taking taylor expansion of PI in n
2.777 * [backup-simplify]: Simplify PI into PI
2.777 * [taylor]: Taking taylor expansion of n in n
2.777 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify 1 into 1
2.778 * [backup-simplify]: Simplify (/ PI 1) into PI
2.778 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.779 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.779 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.779 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.782 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.783 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.783 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.783 * [taylor]: Taking taylor expansion of -1 in n
2.783 * [backup-simplify]: Simplify -1 into -1
2.783 * [taylor]: Taking taylor expansion of k in n
2.783 * [backup-simplify]: Simplify k into k
2.783 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.783 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.783 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.785 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.785 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.785 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.785 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.785 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.785 * [taylor]: Taking taylor expansion of 1/2 in n
2.785 * [backup-simplify]: Simplify 1/2 into 1/2
2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.785 * [taylor]: Taking taylor expansion of k in n
2.785 * [backup-simplify]: Simplify k into k
2.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.785 * [taylor]: Taking taylor expansion of 1/2 in n
2.785 * [backup-simplify]: Simplify 1/2 into 1/2
2.785 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.785 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.785 * [taylor]: Taking taylor expansion of -2 in n
2.785 * [backup-simplify]: Simplify -2 into -2
2.785 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.785 * [taylor]: Taking taylor expansion of PI in n
2.785 * [backup-simplify]: Simplify PI into PI
2.785 * [taylor]: Taking taylor expansion of n in n
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (/ PI 1) into PI
2.786 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.787 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.787 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.787 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.790 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.791 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.791 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.791 * [taylor]: Taking taylor expansion of -1 in n
2.791 * [backup-simplify]: Simplify -1 into -1
2.791 * [taylor]: Taking taylor expansion of k in n
2.791 * [backup-simplify]: Simplify k into k
2.791 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.791 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.791 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.793 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.793 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.793 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.793 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.793 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.793 * [taylor]: Taking taylor expansion of 1/2 in k
2.793 * [backup-simplify]: Simplify 1/2 into 1/2
2.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.793 * [taylor]: Taking taylor expansion of k in k
2.793 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify 1 into 1
2.793 * [backup-simplify]: Simplify (/ 1 1) into 1
2.793 * [taylor]: Taking taylor expansion of 1/2 in k
2.793 * [backup-simplify]: Simplify 1/2 into 1/2
2.793 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.793 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.793 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.793 * [taylor]: Taking taylor expansion of -2 in k
2.793 * [backup-simplify]: Simplify -2 into -2
2.794 * [taylor]: Taking taylor expansion of PI in k
2.794 * [backup-simplify]: Simplify PI into PI
2.794 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.795 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.795 * [taylor]: Taking taylor expansion of (log n) in k
2.795 * [taylor]: Taking taylor expansion of n in k
2.795 * [backup-simplify]: Simplify n into n
2.795 * [backup-simplify]: Simplify (log n) into (log n)
2.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.796 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.796 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.797 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.798 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.799 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.799 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.799 * [taylor]: Taking taylor expansion of -1 in k
2.799 * [backup-simplify]: Simplify -1 into -1
2.799 * [taylor]: Taking taylor expansion of k in k
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 1 into 1
2.800 * [backup-simplify]: Simplify (/ -1 1) into -1
2.800 * [backup-simplify]: Simplify (sqrt 0) into 0
2.801 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.801 * [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)))))
2.802 * [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)))))
2.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.806 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.808 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.808 * [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
2.808 * [taylor]: Taking taylor expansion of 0 in k
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.811 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.812 * [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))))))
2.813 * [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))))))
2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.814 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.816 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.817 * [backup-simplify]: Simplify (+ 0 0) into 0
2.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.818 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.820 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.820 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.821 * [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
2.821 * [taylor]: Taking taylor expansion of 0 in k
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.827 * [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))))))
2.827 * [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))))))
2.830 * [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)))))))))))
2.830 * * * [progress]: simplifying candidates
2.830 * * * * [progress]: [ 1 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.830 * * * * [progress]: [ 2 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.830 * * * * [progress]: [ 3 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 4 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 5 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 6 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 7 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 8 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 9 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.830 * * * * [progress]: [ 10 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.830 * * * * [progress]: [ 11 / 445 ] 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)))>
2.830 * * * * [progress]: [ 12 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.831 * * * * [progress]: [ 13 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.831 * * * * [progress]: [ 14 / 445 ] 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)))>
2.831 * * * * [progress]: [ 15 / 445 ] 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)))>
2.831 * * * * [progress]: [ 16 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.831 * * * * [progress]: [ 17 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 18 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.831 * * * * [progress]: [ 19 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 20 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.831 * * * * [progress]: [ 21 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.831 * * * * [progress]: [ 22 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 23 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.831 * * * * [progress]: [ 24 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.831 * * * * [progress]: [ 25 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 26 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.831 * * * * [progress]: [ 27 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.831 * * * * [progress]: [ 28 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.831 * * * * [progress]: [ 29 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.831 * * * * [progress]: [ 30 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 31 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.831 * * * * [progress]: [ 32 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.831 * * * * [progress]: [ 33 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 34 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.832 * * * * [progress]: [ 35 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 36 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 37 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.832 * * * * [progress]: [ 38 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 39 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 40 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.832 * * * * [progress]: [ 41 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.832 * * * * [progress]: [ 42 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.832 * * * * [progress]: [ 43 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 44 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 45 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 46 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 47 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.832 * * * * [progress]: [ 48 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 49 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 50 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.832 * * * * [progress]: [ 51 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.832 * * * * [progress]: [ 52 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.832 * * * * [progress]: [ 53 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.833 * * * * [progress]: [ 54 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.833 * * * * [progress]: [ 55 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.833 * * * * [progress]: [ 56 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.833 * * * * [progress]: [ 57 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.833 * * * * [progress]: [ 58 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.833 * * * * [progress]: [ 59 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.833 * * * * [progress]: [ 60 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.833 * * * * [progress]: [ 61 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.833 * * * * [progress]: [ 62 / 445 ] 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)))>
2.833 * * * * [progress]: [ 63 / 445 ] 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)))>
2.833 * * * * [progress]: [ 64 / 445 ] 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)))>
2.833 * * * * [progress]: [ 65 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.833 * * * * [progress]: [ 66 / 445 ] 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)))>
2.833 * * * * [progress]: [ 67 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.833 * * * * [progress]: [ 68 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 69 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 70 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 71 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 72 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 73 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 74 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 75 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 76 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 77 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 78 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.833 * * * * [progress]: [ 79 / 445 ] 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)))>
2.833 * * * * [progress]: [ 80 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 81 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 82 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 83 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 84 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 85 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 86 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 87 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 88 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
2.834 * * * * [progress]: [ 89 / 445 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.834 * * * * [progress]: [ 90 / 445 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.834 * * * * [progress]: [ 91 / 445 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.834 * * * * [progress]: [ 92 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.834 * * * * [progress]: [ 93 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.834 * * * * [progress]: [ 94 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.834 * * * * [progress]: [ 95 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.834 * * * * [progress]: [ 96 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.834 * * * * [progress]: [ 97 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.834 * * * * [progress]: [ 98 / 445 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.834 * * * * [progress]: [ 99 / 445 ] 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)))))>
2.834 * * * * [progress]: [ 100 / 445 ] 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)))))>
2.834 * * * * [progress]: [ 101 / 445 ] 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)))))>
2.834 * * * * [progress]: [ 102 / 445 ] 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)))))>
2.834 * * * * [progress]: [ 103 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.834 * * * * [progress]: [ 104 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.834 * * * * [progress]: [ 105 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.834 * * * * [progress]: [ 106 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 107 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.835 * * * * [progress]: [ 108 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 109 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.835 * * * * [progress]: [ 110 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.835 * * * * [progress]: [ 111 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.835 * * * * [progress]: [ 112 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 113 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.835 * * * * [progress]: [ 114 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 115 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.835 * * * * [progress]: [ 116 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.835 * * * * [progress]: [ 117 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.835 * * * * [progress]: [ 118 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 119 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.835 * * * * [progress]: [ 120 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 121 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.835 * * * * [progress]: [ 122 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.835 * * * * [progress]: [ 123 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.835 * * * * [progress]: [ 124 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.835 * * * * [progress]: [ 125 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.836 * * * * [progress]: [ 126 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 127 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.836 * * * * [progress]: [ 128 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.836 * * * * [progress]: [ 129 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.836 * * * * [progress]: [ 130 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 131 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.836 * * * * [progress]: [ 132 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 133 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.836 * * * * [progress]: [ 134 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.836 * * * * [progress]: [ 135 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.836 * * * * [progress]: [ 136 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 137 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.836 * * * * [progress]: [ 138 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 139 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.836 * * * * [progress]: [ 140 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.836 * * * * [progress]: [ 141 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.836 * * * * [progress]: [ 142 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.836 * * * * [progress]: [ 143 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.836 * * * * [progress]: [ 144 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 145 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.837 * * * * [progress]: [ 146 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.837 * * * * [progress]: [ 147 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.837 * * * * [progress]: [ 148 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 149 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.837 * * * * [progress]: [ 150 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 151 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.837 * * * * [progress]: [ 152 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.837 * * * * [progress]: [ 153 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.837 * * * * [progress]: [ 154 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 155 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.837 * * * * [progress]: [ 156 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 157 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.837 * * * * [progress]: [ 158 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.837 * * * * [progress]: [ 159 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.837 * * * * [progress]: [ 160 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.837 * * * * [progress]: [ 161 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.838 * * * * [progress]: [ 162 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.838 * * * * [progress]: [ 163 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.838 * * * * [progress]: [ 164 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.838 * * * * [progress]: [ 165 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.838 * * * * [progress]: [ 166 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.838 * * * * [progress]: [ 167 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.838 * * * * [progress]: [ 168 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.838 * * * * [progress]: [ 169 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.838 * * * * [progress]: [ 170 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.838 * * * * [progress]: [ 171 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.838 * * * * [progress]: [ 172 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.838 * * * * [progress]: [ 173 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.838 * * * * [progress]: [ 174 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.838 * * * * [progress]: [ 175 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.839 * * * * [progress]: [ 176 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.839 * * * * [progress]: [ 177 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.839 * * * * [progress]: [ 178 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 179 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.839 * * * * [progress]: [ 180 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 181 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.839 * * * * [progress]: [ 182 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.839 * * * * [progress]: [ 183 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.839 * * * * [progress]: [ 184 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 185 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.839 * * * * [progress]: [ 186 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 187 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.839 * * * * [progress]: [ 188 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.839 * * * * [progress]: [ 189 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.839 * * * * [progress]: [ 190 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 191 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.839 * * * * [progress]: [ 192 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.839 * * * * [progress]: [ 193 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.839 * * * * [progress]: [ 194 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.840 * * * * [progress]: [ 195 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.840 * * * * [progress]: [ 196 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.840 * * * * [progress]: [ 197 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.840 * * * * [progress]: [ 198 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.840 * * * * [progress]: [ 199 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.840 * * * * [progress]: [ 200 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.840 * * * * [progress]: [ 201 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.840 * * * * [progress]: [ 202 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.840 * * * * [progress]: [ 203 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.841 * * * * [progress]: [ 204 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 205 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.841 * * * * [progress]: [ 206 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.841 * * * * [progress]: [ 207 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.841 * * * * [progress]: [ 208 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 209 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.841 * * * * [progress]: [ 210 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 211 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.841 * * * * [progress]: [ 212 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.841 * * * * [progress]: [ 213 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.841 * * * * [progress]: [ 214 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 215 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.841 * * * * [progress]: [ 216 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 217 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.841 * * * * [progress]: [ 218 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.841 * * * * [progress]: [ 219 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.841 * * * * [progress]: [ 220 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.841 * * * * [progress]: [ 221 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.841 * * * * [progress]: [ 222 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 223 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.842 * * * * [progress]: [ 224 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.842 * * * * [progress]: [ 225 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.842 * * * * [progress]: [ 226 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 227 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.842 * * * * [progress]: [ 228 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 229 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.842 * * * * [progress]: [ 230 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.842 * * * * [progress]: [ 231 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.842 * * * * [progress]: [ 232 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 233 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.842 * * * * [progress]: [ 234 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 235 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.842 * * * * [progress]: [ 236 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.842 * * * * [progress]: [ 237 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.842 * * * * [progress]: [ 238 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 239 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.842 * * * * [progress]: [ 240 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.842 * * * * [progress]: [ 241 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.843 * * * * [progress]: [ 242 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.843 * * * * [progress]: [ 243 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.843 * * * * [progress]: [ 244 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 245 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.843 * * * * [progress]: [ 246 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 247 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.843 * * * * [progress]: [ 248 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.843 * * * * [progress]: [ 249 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.843 * * * * [progress]: [ 250 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 251 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.843 * * * * [progress]: [ 252 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 253 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.843 * * * * [progress]: [ 254 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.843 * * * * [progress]: [ 255 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.843 * * * * [progress]: [ 256 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 257 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.843 * * * * [progress]: [ 258 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.843 * * * * [progress]: [ 259 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.843 * * * * [progress]: [ 260 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.843 * * * * [progress]: [ 261 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.843 * * * * [progress]: [ 262 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 263 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.844 * * * * [progress]: [ 264 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 265 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.844 * * * * [progress]: [ 266 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.844 * * * * [progress]: [ 267 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.844 * * * * [progress]: [ 268 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 269 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.844 * * * * [progress]: [ 270 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 271 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.844 * * * * [progress]: [ 272 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.844 * * * * [progress]: [ 273 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.844 * * * * [progress]: [ 274 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 275 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.844 * * * * [progress]: [ 276 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 277 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.844 * * * * [progress]: [ 278 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.844 * * * * [progress]: [ 279 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.844 * * * * [progress]: [ 280 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.844 * * * * [progress]: [ 281 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.844 * * * * [progress]: [ 282 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 283 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.845 * * * * [progress]: [ 284 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.845 * * * * [progress]: [ 285 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.845 * * * * [progress]: [ 286 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 287 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.845 * * * * [progress]: [ 288 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 289 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.845 * * * * [progress]: [ 290 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.845 * * * * [progress]: [ 291 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.845 * * * * [progress]: [ 292 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 293 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.845 * * * * [progress]: [ 294 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 295 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.845 * * * * [progress]: [ 296 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.845 * * * * [progress]: [ 297 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.845 * * * * [progress]: [ 298 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.845 * * * * [progress]: [ 299 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.845 * * * * [progress]: [ 300 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 301 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.846 * * * * [progress]: [ 302 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.846 * * * * [progress]: [ 303 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.846 * * * * [progress]: [ 304 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 305 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.846 * * * * [progress]: [ 306 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 307 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.846 * * * * [progress]: [ 308 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.846 * * * * [progress]: [ 309 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.846 * * * * [progress]: [ 310 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 311 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.846 * * * * [progress]: [ 312 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 313 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.846 * * * * [progress]: [ 314 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.846 * * * * [progress]: [ 315 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.846 * * * * [progress]: [ 316 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 317 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.846 * * * * [progress]: [ 318 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.846 * * * * [progress]: [ 319 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.846 * * * * [progress]: [ 320 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.846 * * * * [progress]: [ 321 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.847 * * * * [progress]: [ 322 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 323 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.847 * * * * [progress]: [ 324 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 325 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.847 * * * * [progress]: [ 326 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.847 * * * * [progress]: [ 327 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.847 * * * * [progress]: [ 328 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 329 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.847 * * * * [progress]: [ 330 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 331 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.847 * * * * [progress]: [ 332 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.847 * * * * [progress]: [ 333 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.847 * * * * [progress]: [ 334 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 335 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.847 * * * * [progress]: [ 336 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 337 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.847 * * * * [progress]: [ 338 / 445 ] 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)))))>
2.847 * * * * [progress]: [ 339 / 445 ] 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)))))>
2.847 * * * * [progress]: [ 340 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 341 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.847 * * * * [progress]: [ 342 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.847 * * * * [progress]: [ 343 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.847 * * * * [progress]: [ 344 / 445 ] 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)))))>
2.848 * * * * [progress]: [ 345 / 445 ] 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)))))>
2.848 * * * * [progress]: [ 346 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.848 * * * * [progress]: [ 347 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.848 * * * * [progress]: [ 348 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.848 * * * * [progress]: [ 349 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.848 * * * * [progress]: [ 350 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.848 * * * * [progress]: [ 351 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.848 * * * * [progress]: [ 352 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.848 * * * * [progress]: [ 353 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.848 * * * * [progress]: [ 354 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.848 * * * * [progress]: [ 355 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.848 * * * * [progress]: [ 356 / 445 ] 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)))))>
2.848 * * * * [progress]: [ 357 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 358 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 359 / 445 ] 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))))>
2.849 * * * * [progress]: [ 360 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 361 / 445 ] 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))))>
2.849 * * * * [progress]: [ 362 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 363 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 364 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 365 / 445 ] 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))))>
2.849 * * * * [progress]: [ 366 / 445 ] 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)))))>
2.849 * * * * [progress]: [ 367 / 445 ] 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))))>
2.849 * * * * [progress]: [ 368 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.849 * * * * [progress]: [ 369 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.849 * * * * [progress]: [ 370 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.850 * * * * [progress]: [ 371 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.850 * * * * [progress]: [ 372 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.850 * * * * [progress]: [ 373 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.850 * * * * [progress]: [ 374 / 445 ] 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)))))>
2.850 * * * * [progress]: [ 375 / 445 ] 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)))))>
2.850 * * * * [progress]: [ 376 / 445 ] 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)))))>
2.850 * * * * [progress]: [ 377 / 445 ] 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))))>
2.850 * * * * [progress]: [ 378 / 445 ] 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)))))>
2.850 * * * * [progress]: [ 379 / 445 ] 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))))>
2.850 * * * * [progress]: [ 380 / 445 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.850 * * * * [progress]: [ 381 / 445 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.850 * * * * [progress]: [ 382 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.850 * * * * [progress]: [ 383 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.850 * * * * [progress]: [ 384 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.851 * * * * [progress]: [ 385 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.851 * * * * [progress]: [ 386 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.851 * * * * [progress]: [ 387 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.851 * * * * [progress]: [ 388 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.851 * * * * [progress]: [ 389 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.851 * * * * [progress]: [ 390 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.851 * * * * [progress]: [ 391 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.851 * * * * [progress]: [ 392 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.851 * * * * [progress]: [ 393 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.851 * * * * [progress]: [ 394 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.851 * * * * [progress]: [ 395 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.851 * * * * [progress]: [ 396 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.852 * * * * [progress]: [ 397 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.852 * * * * [progress]: [ 398 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.852 * * * * [progress]: [ 399 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.852 * * * * [progress]: [ 400 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.852 * * * * [progress]: [ 401 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.852 * * * * [progress]: [ 402 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.852 * * * * [progress]: [ 403 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.852 * * * * [progress]: [ 404 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.852 * * * * [progress]: [ 405 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.852 * * * * [progress]: [ 406 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.853 * * * * [progress]: [ 407 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.853 * * * * [progress]: [ 408 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.853 * * * * [progress]: [ 409 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.853 * * * * [progress]: [ 410 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.853 * * * * [progress]: [ 411 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.853 * * * * [progress]: [ 412 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.853 * * * * [progress]: [ 413 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.853 * * * * [progress]: [ 414 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.853 * * * * [progress]: [ 415 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.853 * * * * [progress]: [ 416 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.854 * * * * [progress]: [ 417 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.854 * * * * [progress]: [ 418 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.854 * * * * [progress]: [ 419 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.854 * * * * [progress]: [ 420 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.854 * * * * [progress]: [ 421 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.854 * * * * [progress]: [ 422 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.854 * * * * [progress]: [ 423 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.854 * * * * [progress]: [ 424 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.854 * * * * [progress]: [ 425 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.854 * * * * [progress]: [ 426 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.854 * * * * [progress]: [ 427 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.854 * * * * [progress]: [ 428 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.855 * * * * [progress]: [ 429 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.855 * * * * [progress]: [ 430 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
2.855 * * * * [progress]: [ 431 / 445 ] 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)))))))>
2.855 * * * * [progress]: [ 432 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
2.855 * * * * [progress]: [ 433 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.855 * * * * [progress]: [ 434 / 445 ] 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)))))>
2.855 * * * * [progress]: [ 435 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.855 * * * * [progress]: [ 436 / 445 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.855 * * * * [progress]: [ 437 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.855 * * * * [progress]: [ 438 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.855 * * * * [progress]: [ 439 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.855 * * * * [progress]: [ 440 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.855 * * * * [progress]: [ 441 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.855 * * * * [progress]: [ 442 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.856 * * * * [progress]: [ 443 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.856 * * * * [progress]: [ 444 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
2.856 * * * * [progress]: [ 445 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
2.871 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))), (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))), (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))), (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))), (* 1 (- 1/2 (/ k 2))), (* 1 (- 1/2 (/ k 2))), (* 1 (- 1/2 (/ k 2))), (pow (* n (* 2 PI)) 1/2), (pow (* n (* 2 PI)) (/ k 2)), (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))), (pow (* n (* 2 PI)) 1), (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))), (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))), (pow (* n (* 2 PI)) 1), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))), (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))), (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))), (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))), (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))), (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))), (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))), (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))), (pow (* n (* 2 PI)) 1/2), (pow (* n (* 2 PI)) (- (/ k 2))), (pow (* n (* 2 PI)) 1/2), (pow (* n (* 2 PI)) (- (/ k 2))), (pow n (- 1/2 (/ k 2))), (pow (* 2 PI) (- 1/2 (/ k 2))), (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))), (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)), (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)), (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (expm1 (* n (* 2 PI))), (log1p (* n (* 2 PI))), (* n (* 2 PI)), (* n (* 2 PI)), (+ (log n) (+ (log 2) (log PI))), (+ (log n) (log (* 2 PI))), (log (* n (* 2 PI))), (exp (* n (* 2 PI))), (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))), (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))), (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))), (cbrt (* n (* 2 PI))), (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))), (sqrt (* n (* 2 PI))), (sqrt (* n (* 2 PI))), (* n 2), (* (cbrt n) (* 2 PI)), (* (sqrt n) (* 2 PI)), (* n (* 2 PI)), (real->posit16 (* n (* 2 PI))), (expm1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))), (log1p (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))), (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k))), (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k))), (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k))), (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k))), (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k))), (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)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1), (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)), (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) 1), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)), (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)), (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) 1/2) 1), (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)), (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))), (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))), (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)), (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow n (- 1/2 (/ k 2))) 1), (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1), (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1), (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ 1 1), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1), (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))), (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))), (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))), (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))), (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))), (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))), (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))), (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))), (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))), (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))), (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))), (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))), (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))), (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.909 * * [simplify]: iteration 1: (695 enodes)
3.251 * * [simplify]: Extracting #0: cost 311 inf + 0
3.254 * * [simplify]: Extracting #1: cost 891 inf + 1
3.259 * * [simplify]: Extracting #2: cost 1121 inf + 507
3.268 * * [simplify]: Extracting #3: cost 1217 inf + 6860
3.282 * * [simplify]: Extracting #4: cost 1073 inf + 44343
3.303 * * [simplify]: Extracting #5: cost 734 inf + 182333
3.371 * * [simplify]: Extracting #6: cost 370 inf + 395273
3.473 * * [simplify]: Extracting #7: cost 112 inf + 571810
3.587 * * [simplify]: Extracting #8: cost 70 inf + 607747
3.693 * * [simplify]: Extracting #9: cost 58 inf + 620041
3.791 * * [simplify]: Extracting #10: cost 55 inf + 626674
3.883 * * [simplify]: Extracting #11: cost 47 inf + 634260
3.982 * * [simplify]: Extracting #12: cost 34 inf + 642997
4.094 * * [simplify]: Extracting #13: cost 27 inf + 650279
4.208 * * [simplify]: Extracting #14: cost 17 inf + 663059
4.325 * * [simplify]: Extracting #15: cost 3 inf + 684783
4.452 * * [simplify]: Extracting #16: cost 0 inf + 689641
4.566 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))), (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))), (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))), (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (sqrt (* (* PI 2) n)), (pow (* (* PI 2) n) (/ k 2)), (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2)))), (* (* PI 2) n), (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2)))), (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))), (* (* PI 2) n), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))), (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))), (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))), (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))), (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))), (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))), (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))), (pow (* (* PI 2) n) (- 1/2 (* k 1/2))), (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))), (sqrt (* (* PI 2) n)), (pow (* (* PI 2) n) (- (/ k 2))), (sqrt (* (* PI 2) n)), (pow (* (* PI 2) n) (- (/ k 2))), (pow n (- 1/2 (/ k 2))), (pow (* PI 2) (- 1/2 (/ k 2))), (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))), (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))), (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))), (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (expm1 (* (* PI 2) n)), (log1p (* (* PI 2) n)), (* (* PI 2) n), (* (* PI 2) n), (log (* (* PI 2) n)), (log (* (* PI 2) n)), (log (* (* PI 2) n)), (exp (* (* PI 2) n)), (* (* (* (* 2 4) (* PI PI)) PI) (* (* n n) n)), (* (* (* n n) n) (* (* PI 2) (* (* PI 2) (* PI 2)))), (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))), (cbrt (* (* PI 2) n)), (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))), (sqrt (* (* PI 2) n)), (sqrt (* (* PI 2) n)), (* n 2), (* (cbrt n) (* PI 2)), (* (sqrt n) (* PI 2)), (* (* PI 2) n), (real->posit16 (* (* PI 2) n)), (expm1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (log1p (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k))), (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (* (sqrt k) k)), (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))), (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))), (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (- (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (- (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (fma (sqrt 1/2) (sqrt 1/2) (* -1/2 k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))), (/ (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2)))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (cbrt k) 2) (- (* (cbrt k) (cbrt k)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2)))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) 2) (- (sqrt k))))), (/ (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (* (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2))))), (/ (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2))))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (+ 1/2 (- (/ k 2)))), (/ (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/2 (* k 1/2))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (pow (* (* PI 2) n) (- 1/2 (* k 1/2))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/2 (* k 1/2))), (/ (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2))) (sqrt k)), (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k))), (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k))), (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))), (sqrt (* (* PI 2) n)), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)), (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))), (sqrt (* (* PI 2) n)), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)), (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k))), (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k))), (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))), (sqrt (* (* PI 2) n)), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)), (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))), (sqrt (* (* PI 2) n)), (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)), (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))), (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k))), (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (pow n (- 1/2 (/ k 2))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k)), (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (pow n (- 1/2 (/ k 2))), (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k)), (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (fabs (cbrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)), (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))), (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)), (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (/ 1 1), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))), 1, (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)), (/ (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k)), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))), (/ (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/2 (/ k 2))), (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))), (pow (* (* PI 2) n) (- 1/2 (/ k 2))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (* (cbrt (/ k 2)) (cbrt (/ k 2))) (cbrt (/ k 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ k 2)) (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))) (/ (* (cbrt k) (/ (* (cbrt k) (cbrt k)) (sqrt 2))) (sqrt 2))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))) (* (/ (sqrt k) (cbrt 2)) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) 2)) (sqrt k) (/ (* (sqrt k) (sqrt k)) 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k (cbrt 2))) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (* (/ k (cbrt 2)) 1) (* (cbrt 2) (cbrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))) (* (/ 1 (sqrt 2)) (/ k (sqrt 2)))))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ k 2)) 1 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (* k 1/2)))), (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))), (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))), (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))), (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))), (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)), (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))), (- (fma 1/4 (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) (* (* k k) (log n))) (fma 1/8 (* (* (* (log n) (log n)) (* k k)) (exp (* 1/2 (log (* (* PI 2) n))))) (+ (* 1/8 (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/2 (log (* (* PI 2) n)))) (* k k)))) (exp (* 1/2 (log (* (* PI 2) n))))))) (* 1/2 (+ (* (* (exp (* 1/2 (log (* (* PI 2) n)))) (log n)) k) (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) k)))), (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))), (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))), (* (* PI 2) n), (* (* PI 2) n), (* (* PI 2) n), (- (- (* +nan.0 (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) (* (* k k) (log n)))) (- (* (* +nan.0 (log (* PI 2))) (* (exp (* 1/2 (log (* (* PI 2) n)))) (* k k))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* (* (log n) (log n)) (* k k))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) k) +nan.0) (- (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (- (* +nan.0 (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/2 (log (* (* PI 2) n)))) (* k k)))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* (* k k) (log n))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* k k)) (- (* (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) k) +nan.0) (* +nan.0 (* (* (exp (* 1/2 (log (* (* PI 2) n)))) (log n)) k)))))))))))), (- (- (* +nan.0 (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))) (* (* k k) k))) (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n)))))) k) (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))) (* k k)) +nan.0)))), (- (- (* +nan.0 (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k))) (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0))))
4.673 * * * [progress]: adding candidates to table
11.627 * * [progress]: iteration 2 / 4
11.627 * * * [progress]: picking best candidate
11.661 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
11.661 * * * [progress]: localizing error
11.702 * * * [progress]: generating rewritten candidates
11.703 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
11.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
11.760 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
11.775 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
11.840 * * * [progress]: generating series expansions
11.840 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
11.841 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
11.841 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
11.841 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.841 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.842 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.842 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.842 * [taylor]: Taking taylor expansion of 1/2 in k
11.842 * [backup-simplify]: Simplify 1/2 into 1/2
11.842 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.842 * [taylor]: Taking taylor expansion of 1 in k
11.842 * [backup-simplify]: Simplify 1 into 1
11.842 * [taylor]: Taking taylor expansion of k in k
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 1 into 1
11.842 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.842 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.842 * [taylor]: Taking taylor expansion of 2 in k
11.842 * [backup-simplify]: Simplify 2 into 2
11.842 * [taylor]: Taking taylor expansion of (* n PI) in k
11.842 * [taylor]: Taking taylor expansion of n in k
11.842 * [backup-simplify]: Simplify n into n
11.842 * [taylor]: Taking taylor expansion of PI in k
11.842 * [backup-simplify]: Simplify PI into PI
11.842 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.842 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.842 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.843 * [backup-simplify]: Simplify (- 0) into 0
11.843 * [backup-simplify]: Simplify (+ 1 0) into 1
11.844 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.844 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.844 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.844 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.844 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.844 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.844 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.844 * [taylor]: Taking taylor expansion of 1/2 in n
11.844 * [backup-simplify]: Simplify 1/2 into 1/2
11.844 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.844 * [taylor]: Taking taylor expansion of 1 in n
11.844 * [backup-simplify]: Simplify 1 into 1
11.844 * [taylor]: Taking taylor expansion of k in n
11.844 * [backup-simplify]: Simplify k into k
11.844 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.844 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.844 * [taylor]: Taking taylor expansion of 2 in n
11.844 * [backup-simplify]: Simplify 2 into 2
11.844 * [taylor]: Taking taylor expansion of (* n PI) in n
11.844 * [taylor]: Taking taylor expansion of n in n
11.844 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify 1 into 1
11.844 * [taylor]: Taking taylor expansion of PI in n
11.844 * [backup-simplify]: Simplify PI into PI
11.845 * [backup-simplify]: Simplify (* 0 PI) into 0
11.845 * [backup-simplify]: Simplify (* 2 0) into 0
11.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.848 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.849 * [backup-simplify]: Simplify (- k) into (- k)
11.849 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.849 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.852 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.853 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.853 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.853 * [taylor]: Taking taylor expansion of 1/2 in n
11.853 * [backup-simplify]: Simplify 1/2 into 1/2
11.853 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.853 * [taylor]: Taking taylor expansion of 1 in n
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of k in n
11.853 * [backup-simplify]: Simplify k into k
11.853 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.853 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.853 * [taylor]: Taking taylor expansion of 2 in n
11.853 * [backup-simplify]: Simplify 2 into 2
11.853 * [taylor]: Taking taylor expansion of (* n PI) in n
11.853 * [taylor]: Taking taylor expansion of n in n
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of PI in n
11.853 * [backup-simplify]: Simplify PI into PI
11.854 * [backup-simplify]: Simplify (* 0 PI) into 0
11.854 * [backup-simplify]: Simplify (* 2 0) into 0
11.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.857 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.858 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.858 * [backup-simplify]: Simplify (- k) into (- k)
11.858 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.858 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.859 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.860 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.861 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.861 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
11.861 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
11.861 * [taylor]: Taking taylor expansion of 1/2 in k
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
11.862 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.862 * [taylor]: Taking taylor expansion of 1 in k
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [taylor]: Taking taylor expansion of k in k
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
11.862 * [taylor]: Taking taylor expansion of (log n) in k
11.862 * [taylor]: Taking taylor expansion of n in k
11.862 * [backup-simplify]: Simplify n into n
11.862 * [backup-simplify]: Simplify (log n) into (log n)
11.862 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.862 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.862 * [taylor]: Taking taylor expansion of 2 in k
11.862 * [backup-simplify]: Simplify 2 into 2
11.862 * [taylor]: Taking taylor expansion of PI in k
11.862 * [backup-simplify]: Simplify PI into PI
11.862 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.864 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.864 * [backup-simplify]: Simplify (- 0) into 0
11.864 * [backup-simplify]: Simplify (+ 1 0) into 1
11.866 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.867 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
11.868 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
11.869 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
11.870 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
11.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.874 * [backup-simplify]: Simplify (- 0) into 0
11.874 * [backup-simplify]: Simplify (+ 0 0) into 0
11.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
11.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.878 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.880 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.880 * [taylor]: Taking taylor expansion of 0 in k
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.881 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.884 * [backup-simplify]: Simplify (+ 0 0) into 0
11.884 * [backup-simplify]: Simplify (- 1) into -1
11.884 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.886 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
11.888 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
11.897 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
11.900 * [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)))))))
11.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.906 * [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
11.907 * [backup-simplify]: Simplify (- 0) into 0
11.907 * [backup-simplify]: Simplify (+ 0 0) into 0
11.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
11.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.911 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.913 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.913 * [taylor]: Taking taylor expansion of 0 in k
11.914 * [backup-simplify]: Simplify 0 into 0
11.914 * [backup-simplify]: Simplify 0 into 0
11.914 * [backup-simplify]: Simplify 0 into 0
11.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.920 * [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
11.920 * [backup-simplify]: Simplify (+ 0 0) into 0
11.921 * [backup-simplify]: Simplify (- 0) into 0
11.921 * [backup-simplify]: Simplify (+ 0 0) into 0
11.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.930 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
11.935 * [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)))))
11.942 * [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)))))
11.943 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
11.943 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
11.943 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.943 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.943 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.943 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.943 * [taylor]: Taking taylor expansion of 1/2 in k
11.943 * [backup-simplify]: Simplify 1/2 into 1/2
11.943 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.943 * [taylor]: Taking taylor expansion of 1 in k
11.943 * [backup-simplify]: Simplify 1 into 1
11.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.943 * [taylor]: Taking taylor expansion of k in k
11.943 * [backup-simplify]: Simplify 0 into 0
11.943 * [backup-simplify]: Simplify 1 into 1
11.943 * [backup-simplify]: Simplify (/ 1 1) into 1
11.943 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.943 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.943 * [taylor]: Taking taylor expansion of 2 in k
11.943 * [backup-simplify]: Simplify 2 into 2
11.943 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.943 * [taylor]: Taking taylor expansion of PI in k
11.943 * [backup-simplify]: Simplify PI into PI
11.943 * [taylor]: Taking taylor expansion of n in k
11.943 * [backup-simplify]: Simplify n into n
11.943 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.943 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.943 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.944 * [backup-simplify]: Simplify (- 1) into -1
11.944 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.944 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.944 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.944 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.945 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.945 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.945 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.945 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.945 * [taylor]: Taking taylor expansion of 1/2 in n
11.945 * [backup-simplify]: Simplify 1/2 into 1/2
11.945 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.945 * [taylor]: Taking taylor expansion of 1 in n
11.945 * [backup-simplify]: Simplify 1 into 1
11.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.945 * [taylor]: Taking taylor expansion of k in n
11.945 * [backup-simplify]: Simplify k into k
11.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.945 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.945 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.945 * [taylor]: Taking taylor expansion of 2 in n
11.945 * [backup-simplify]: Simplify 2 into 2
11.945 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.945 * [taylor]: Taking taylor expansion of PI in n
11.945 * [backup-simplify]: Simplify PI into PI
11.945 * [taylor]: Taking taylor expansion of n in n
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify 1 into 1
11.945 * [backup-simplify]: Simplify (/ PI 1) into PI
11.945 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.946 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.946 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.946 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.946 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.948 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.948 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.948 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.948 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.949 * [taylor]: Taking taylor expansion of 1/2 in n
11.949 * [backup-simplify]: Simplify 1/2 into 1/2
11.949 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.949 * [taylor]: Taking taylor expansion of 1 in n
11.949 * [backup-simplify]: Simplify 1 into 1
11.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.949 * [taylor]: Taking taylor expansion of k in n
11.949 * [backup-simplify]: Simplify k into k
11.949 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.949 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.949 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.949 * [taylor]: Taking taylor expansion of 2 in n
11.949 * [backup-simplify]: Simplify 2 into 2
11.949 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.949 * [taylor]: Taking taylor expansion of PI in n
11.949 * [backup-simplify]: Simplify PI into PI
11.949 * [taylor]: Taking taylor expansion of n in n
11.949 * [backup-simplify]: Simplify 0 into 0
11.949 * [backup-simplify]: Simplify 1 into 1
11.949 * [backup-simplify]: Simplify (/ PI 1) into PI
11.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.950 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.950 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.950 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.951 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.952 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.953 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.953 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
11.953 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
11.953 * [taylor]: Taking taylor expansion of 1/2 in k
11.953 * [backup-simplify]: Simplify 1/2 into 1/2
11.953 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
11.953 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.953 * [taylor]: Taking taylor expansion of 1 in k
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.953 * [taylor]: Taking taylor expansion of k in k
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [backup-simplify]: Simplify (/ 1 1) into 1
11.953 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.953 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.953 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.953 * [taylor]: Taking taylor expansion of 2 in k
11.953 * [backup-simplify]: Simplify 2 into 2
11.953 * [taylor]: Taking taylor expansion of PI in k
11.953 * [backup-simplify]: Simplify PI into PI
11.954 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.954 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.954 * [taylor]: Taking taylor expansion of (log n) in k
11.954 * [taylor]: Taking taylor expansion of n in k
11.954 * [backup-simplify]: Simplify n into n
11.954 * [backup-simplify]: Simplify (log n) into (log n)
11.955 * [backup-simplify]: Simplify (- 1) into -1
11.955 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.955 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.956 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.956 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
11.957 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
11.957 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.958 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.959 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.961 * [backup-simplify]: Simplify (- 0) into 0
11.961 * [backup-simplify]: Simplify (+ 0 0) into 0
11.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.963 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.964 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.964 * [taylor]: Taking taylor expansion of 0 in k
11.964 * [backup-simplify]: Simplify 0 into 0
11.964 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.968 * [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
11.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.968 * [backup-simplify]: Simplify (- 0) into 0
11.969 * [backup-simplify]: Simplify (+ 0 0) into 0
11.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
11.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.972 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
11.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.975 * [taylor]: Taking taylor expansion of 0 in k
11.975 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify 0 into 0
11.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.984 * [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
11.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.984 * [backup-simplify]: Simplify (- 0) into 0
11.985 * [backup-simplify]: Simplify (+ 0 0) into 0
11.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
11.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.989 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.992 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.992 * [taylor]: Taking taylor expansion of 0 in k
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
11.994 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
11.994 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
11.994 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.994 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.994 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.994 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.994 * [taylor]: Taking taylor expansion of 1/2 in k
11.994 * [backup-simplify]: Simplify 1/2 into 1/2
11.994 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.994 * [taylor]: Taking taylor expansion of k in k
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 1 into 1
11.994 * [backup-simplify]: Simplify (/ 1 1) into 1
11.995 * [taylor]: Taking taylor expansion of 1 in k
11.995 * [backup-simplify]: Simplify 1 into 1
11.995 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.995 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.995 * [taylor]: Taking taylor expansion of -2 in k
11.995 * [backup-simplify]: Simplify -2 into -2
11.995 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.995 * [taylor]: Taking taylor expansion of PI in k
11.995 * [backup-simplify]: Simplify PI into PI
11.995 * [taylor]: Taking taylor expansion of n in k
11.995 * [backup-simplify]: Simplify n into n
11.995 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.995 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.995 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.995 * [backup-simplify]: Simplify (+ 1 0) into 1
11.996 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.996 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.996 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.996 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.996 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.996 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.996 * [taylor]: Taking taylor expansion of 1/2 in n
11.996 * [backup-simplify]: Simplify 1/2 into 1/2
11.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.996 * [taylor]: Taking taylor expansion of k in n
11.996 * [backup-simplify]: Simplify k into k
11.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.996 * [taylor]: Taking taylor expansion of 1 in n
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.997 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.997 * [taylor]: Taking taylor expansion of -2 in n
11.997 * [backup-simplify]: Simplify -2 into -2
11.997 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.997 * [taylor]: Taking taylor expansion of PI in n
11.997 * [backup-simplify]: Simplify PI into PI
11.997 * [taylor]: Taking taylor expansion of n in n
11.997 * [backup-simplify]: Simplify 0 into 0
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (/ PI 1) into PI
11.998 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.999 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.999 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.999 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
12.000 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.001 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.002 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.002 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
12.002 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
12.002 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
12.003 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
12.003 * [taylor]: Taking taylor expansion of 1/2 in n
12.003 * [backup-simplify]: Simplify 1/2 into 1/2
12.003 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.003 * [taylor]: Taking taylor expansion of k in n
12.003 * [backup-simplify]: Simplify k into k
12.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.003 * [taylor]: Taking taylor expansion of 1 in n
12.003 * [backup-simplify]: Simplify 1 into 1
12.003 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.003 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.003 * [taylor]: Taking taylor expansion of -2 in n
12.003 * [backup-simplify]: Simplify -2 into -2
12.003 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.003 * [taylor]: Taking taylor expansion of PI in n
12.003 * [backup-simplify]: Simplify PI into PI
12.003 * [taylor]: Taking taylor expansion of n in n
12.003 * [backup-simplify]: Simplify 0 into 0
12.003 * [backup-simplify]: Simplify 1 into 1
12.003 * [backup-simplify]: Simplify (/ PI 1) into PI
12.004 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.004 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.004 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.004 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
12.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.006 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.007 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.007 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
12.007 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
12.007 * [taylor]: Taking taylor expansion of 1/2 in k
12.007 * [backup-simplify]: Simplify 1/2 into 1/2
12.007 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.007 * [taylor]: Taking taylor expansion of k in k
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [backup-simplify]: Simplify (/ 1 1) into 1
12.007 * [taylor]: Taking taylor expansion of 1 in k
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
12.007 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
12.007 * [taylor]: Taking taylor expansion of (* -2 PI) in k
12.007 * [taylor]: Taking taylor expansion of -2 in k
12.007 * [backup-simplify]: Simplify -2 into -2
12.007 * [taylor]: Taking taylor expansion of PI in k
12.007 * [backup-simplify]: Simplify PI into PI
12.008 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.008 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.008 * [taylor]: Taking taylor expansion of (log n) in k
12.008 * [taylor]: Taking taylor expansion of n in k
12.008 * [backup-simplify]: Simplify n into n
12.008 * [backup-simplify]: Simplify (log n) into (log n)
12.009 * [backup-simplify]: Simplify (+ 1 0) into 1
12.009 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.009 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
12.010 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
12.011 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
12.011 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.012 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
12.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.019 * [backup-simplify]: Simplify (+ 0 0) into 0
12.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
12.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.022 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
12.023 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.023 * [taylor]: Taking taylor expansion of 0 in k
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 0 into 0
12.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.024 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
12.026 * [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
12.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.027 * [backup-simplify]: Simplify (+ 0 0) into 0
12.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
12.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.029 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
12.031 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.031 * [taylor]: Taking taylor expansion of 0 in k
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.033 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.038 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
12.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.039 * [backup-simplify]: Simplify (+ 0 0) into 0
12.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
12.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.044 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
12.046 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.046 * [taylor]: Taking taylor expansion of 0 in k
12.046 * [backup-simplify]: Simplify 0 into 0
12.047 * [backup-simplify]: Simplify 0 into 0
12.048 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
12.048 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
12.048 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
12.048 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
12.048 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.048 * [taylor]: Taking taylor expansion of 2 in n
12.049 * [backup-simplify]: Simplify 2 into 2
12.049 * [taylor]: Taking taylor expansion of (* n PI) in n
12.049 * [taylor]: Taking taylor expansion of n in n
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 1 into 1
12.049 * [taylor]: Taking taylor expansion of PI in n
12.049 * [backup-simplify]: Simplify PI into PI
12.049 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.049 * [taylor]: Taking taylor expansion of 2 in n
12.049 * [backup-simplify]: Simplify 2 into 2
12.049 * [taylor]: Taking taylor expansion of (* n PI) in n
12.049 * [taylor]: Taking taylor expansion of n in n
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 1 into 1
12.049 * [taylor]: Taking taylor expansion of PI in n
12.049 * [backup-simplify]: Simplify PI into PI
12.049 * [backup-simplify]: Simplify (* 0 PI) into 0
12.050 * [backup-simplify]: Simplify (* 2 0) into 0
12.050 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.053 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.053 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.055 * [backup-simplify]: Simplify 0 into 0
12.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.058 * [backup-simplify]: Simplify 0 into 0
12.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
12.061 * [backup-simplify]: Simplify 0 into 0
12.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
12.064 * [backup-simplify]: Simplify 0 into 0
12.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
12.068 * [backup-simplify]: Simplify 0 into 0
12.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
12.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
12.073 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
12.073 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
12.073 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.073 * [taylor]: Taking taylor expansion of 2 in n
12.073 * [backup-simplify]: Simplify 2 into 2
12.073 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.073 * [taylor]: Taking taylor expansion of PI in n
12.074 * [backup-simplify]: Simplify PI into PI
12.074 * [taylor]: Taking taylor expansion of n in n
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 1 into 1
12.074 * [backup-simplify]: Simplify (/ PI 1) into PI
12.074 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.074 * [taylor]: Taking taylor expansion of 2 in n
12.074 * [backup-simplify]: Simplify 2 into 2
12.074 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.074 * [taylor]: Taking taylor expansion of PI in n
12.074 * [backup-simplify]: Simplify PI into PI
12.074 * [taylor]: Taking taylor expansion of n in n
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 1 into 1
12.075 * [backup-simplify]: Simplify (/ PI 1) into PI
12.075 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.076 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.077 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.077 * [backup-simplify]: Simplify 0 into 0
12.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
12.080 * [backup-simplify]: Simplify 0 into 0
12.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.082 * [backup-simplify]: Simplify 0 into 0
12.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.084 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.087 * [backup-simplify]: Simplify 0 into 0
12.088 * [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
12.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
12.091 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
12.091 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
12.091 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.091 * [taylor]: Taking taylor expansion of -2 in n
12.091 * [backup-simplify]: Simplify -2 into -2
12.091 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.091 * [taylor]: Taking taylor expansion of PI in n
12.091 * [backup-simplify]: Simplify PI into PI
12.091 * [taylor]: Taking taylor expansion of n in n
12.091 * [backup-simplify]: Simplify 0 into 0
12.091 * [backup-simplify]: Simplify 1 into 1
12.092 * [backup-simplify]: Simplify (/ PI 1) into PI
12.092 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.092 * [taylor]: Taking taylor expansion of -2 in n
12.092 * [backup-simplify]: Simplify -2 into -2
12.092 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.092 * [taylor]: Taking taylor expansion of PI in n
12.092 * [backup-simplify]: Simplify PI into PI
12.092 * [taylor]: Taking taylor expansion of n in n
12.092 * [backup-simplify]: Simplify 0 into 0
12.092 * [backup-simplify]: Simplify 1 into 1
12.092 * [backup-simplify]: Simplify (/ PI 1) into PI
12.093 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.093 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.095 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.095 * [backup-simplify]: Simplify 0 into 0
12.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.097 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
12.097 * [backup-simplify]: Simplify 0 into 0
12.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.099 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.102 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.102 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.104 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.104 * [backup-simplify]: Simplify 0 into 0
12.105 * [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
12.107 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.107 * [backup-simplify]: Simplify 0 into 0
12.108 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
12.108 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
12.108 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
12.108 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
12.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.108 * [taylor]: Taking taylor expansion of k in k
12.108 * [backup-simplify]: Simplify 0 into 0
12.108 * [backup-simplify]: Simplify 1 into 1
12.108 * [backup-simplify]: Simplify (/ 1 1) into 1
12.109 * [backup-simplify]: Simplify (sqrt 0) into 0
12.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.111 * [taylor]: Taking taylor expansion of k in k
12.111 * [backup-simplify]: Simplify 0 into 0
12.111 * [backup-simplify]: Simplify 1 into 1
12.111 * [backup-simplify]: Simplify (/ 1 1) into 1
12.111 * [backup-simplify]: Simplify (sqrt 0) into 0
12.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.113 * [backup-simplify]: Simplify 0 into 0
12.113 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.117 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.117 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.122 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.122 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
12.122 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
12.122 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
12.122 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.122 * [taylor]: Taking taylor expansion of k in k
12.122 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify 1 into 1
12.123 * [backup-simplify]: Simplify (sqrt 0) into 0
12.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.124 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.124 * [taylor]: Taking taylor expansion of k in k
12.124 * [backup-simplify]: Simplify 0 into 0
12.124 * [backup-simplify]: Simplify 1 into 1
12.125 * [backup-simplify]: Simplify (sqrt 0) into 0
12.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.126 * [backup-simplify]: Simplify 0 into 0
12.126 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.129 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.129 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.133 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.134 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
12.134 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
12.134 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
12.134 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
12.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.134 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.134 * [taylor]: Taking taylor expansion of -1 in k
12.134 * [backup-simplify]: Simplify -1 into -1
12.134 * [taylor]: Taking taylor expansion of k in k
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 1 into 1
12.135 * [backup-simplify]: Simplify (/ -1 1) into -1
12.135 * [backup-simplify]: Simplify (sqrt 0) into 0
12.136 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.137 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
12.137 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
12.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.137 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.137 * [taylor]: Taking taylor expansion of -1 in k
12.137 * [backup-simplify]: Simplify -1 into -1
12.137 * [taylor]: Taking taylor expansion of k in k
12.137 * [backup-simplify]: Simplify 0 into 0
12.137 * [backup-simplify]: Simplify 1 into 1
12.137 * [backup-simplify]: Simplify (/ -1 1) into -1
12.138 * [backup-simplify]: Simplify (sqrt 0) into 0
12.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.140 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
12.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.143 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.146 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
12.146 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.155 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
12.155 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.156 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
12.156 * * * * [progress]: [ 4 / 4 ] generating series at (2)
12.163 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
12.163 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
12.163 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
12.163 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
12.163 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
12.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
12.163 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
12.163 * [taylor]: Taking taylor expansion of 1/2 in n
12.163 * [backup-simplify]: Simplify 1/2 into 1/2
12.163 * [taylor]: Taking taylor expansion of (- 1 k) in n
12.163 * [taylor]: Taking taylor expansion of 1 in n
12.163 * [backup-simplify]: Simplify 1 into 1
12.163 * [taylor]: Taking taylor expansion of k in n
12.163 * [backup-simplify]: Simplify k into k
12.163 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.163 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.163 * [taylor]: Taking taylor expansion of 2 in n
12.163 * [backup-simplify]: Simplify 2 into 2
12.163 * [taylor]: Taking taylor expansion of (* n PI) in n
12.163 * [taylor]: Taking taylor expansion of n in n
12.163 * [backup-simplify]: Simplify 0 into 0
12.164 * [backup-simplify]: Simplify 1 into 1
12.164 * [taylor]: Taking taylor expansion of PI in n
12.164 * [backup-simplify]: Simplify PI into PI
12.164 * [backup-simplify]: Simplify (* 0 PI) into 0
12.165 * [backup-simplify]: Simplify (* 2 0) into 0
12.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.168 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.169 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.169 * [backup-simplify]: Simplify (- k) into (- k)
12.169 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
12.169 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
12.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.172 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
12.173 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
12.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.173 * [taylor]: Taking taylor expansion of k in n
12.173 * [backup-simplify]: Simplify k into k
12.173 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.173 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.174 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
12.174 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
12.174 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
12.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
12.174 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
12.174 * [taylor]: Taking taylor expansion of 1/2 in k
12.174 * [backup-simplify]: Simplify 1/2 into 1/2
12.174 * [taylor]: Taking taylor expansion of (- 1 k) in k
12.174 * [taylor]: Taking taylor expansion of 1 in k
12.174 * [backup-simplify]: Simplify 1 into 1
12.174 * [taylor]: Taking taylor expansion of k in k
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 1 into 1
12.174 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
12.174 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
12.174 * [taylor]: Taking taylor expansion of 2 in k
12.174 * [backup-simplify]: Simplify 2 into 2
12.174 * [taylor]: Taking taylor expansion of (* n PI) in k
12.174 * [taylor]: Taking taylor expansion of n in k
12.174 * [backup-simplify]: Simplify n into n
12.174 * [taylor]: Taking taylor expansion of PI in k
12.174 * [backup-simplify]: Simplify PI into PI
12.175 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.175 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
12.175 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
12.175 * [backup-simplify]: Simplify (- 0) into 0
12.176 * [backup-simplify]: Simplify (+ 1 0) into 1
12.176 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.176 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
12.176 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
12.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.176 * [taylor]: Taking taylor expansion of k in k
12.176 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify 1 into 1
12.177 * [backup-simplify]: Simplify (/ 1 1) into 1
12.177 * [backup-simplify]: Simplify (sqrt 0) into 0
12.179 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.179 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
12.179 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
12.179 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
12.179 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
12.179 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
12.179 * [taylor]: Taking taylor expansion of 1/2 in k
12.179 * [backup-simplify]: Simplify 1/2 into 1/2
12.179 * [taylor]: Taking taylor expansion of (- 1 k) in k
12.179 * [taylor]: Taking taylor expansion of 1 in k
12.179 * [backup-simplify]: Simplify 1 into 1
12.179 * [taylor]: Taking taylor expansion of k in k
12.179 * [backup-simplify]: Simplify 0 into 0
12.179 * [backup-simplify]: Simplify 1 into 1
12.179 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
12.179 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
12.179 * [taylor]: Taking taylor expansion of 2 in k
12.179 * [backup-simplify]: Simplify 2 into 2
12.179 * [taylor]: Taking taylor expansion of (* n PI) in k
12.179 * [taylor]: Taking taylor expansion of n in k
12.179 * [backup-simplify]: Simplify n into n
12.179 * [taylor]: Taking taylor expansion of PI in k
12.179 * [backup-simplify]: Simplify PI into PI
12.179 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.179 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
12.179 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
12.180 * [backup-simplify]: Simplify (- 0) into 0
12.180 * [backup-simplify]: Simplify (+ 1 0) into 1
12.181 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.181 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
12.181 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
12.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.181 * [taylor]: Taking taylor expansion of k in k
12.181 * [backup-simplify]: Simplify 0 into 0
12.181 * [backup-simplify]: Simplify 1 into 1
12.182 * [backup-simplify]: Simplify (/ 1 1) into 1
12.182 * [backup-simplify]: Simplify (sqrt 0) into 0
12.183 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.184 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
12.184 * [taylor]: Taking taylor expansion of 0 in n
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
12.185 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
12.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
12.186 * [backup-simplify]: Simplify (- 1) into -1
12.187 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.188 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
12.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
12.188 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
12.189 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
12.189 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
12.189 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.189 * [taylor]: Taking taylor expansion of +nan.0 in n
12.189 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.189 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.189 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.189 * [taylor]: Taking taylor expansion of 2 in n
12.189 * [backup-simplify]: Simplify 2 into 2
12.189 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.190 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.190 * [taylor]: Taking taylor expansion of (* n PI) in n
12.190 * [taylor]: Taking taylor expansion of n in n
12.190 * [backup-simplify]: Simplify 0 into 0
12.190 * [backup-simplify]: Simplify 1 into 1
12.190 * [taylor]: Taking taylor expansion of PI in n
12.190 * [backup-simplify]: Simplify PI into PI
12.191 * [backup-simplify]: Simplify (* 0 PI) into 0
12.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.193 * [backup-simplify]: Simplify (sqrt 0) into 0
12.194 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.195 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.195 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.196 * [backup-simplify]: Simplify (- 0) into 0
12.196 * [backup-simplify]: Simplify 0 into 0
12.196 * [backup-simplify]: Simplify 0 into 0
12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.200 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
12.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
12.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
12.203 * [backup-simplify]: Simplify (- 0) into 0
12.204 * [backup-simplify]: Simplify (+ 0 0) into 0
12.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
12.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
12.207 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
12.207 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
12.207 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
12.207 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
12.208 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
12.208 * [taylor]: Taking taylor expansion of +nan.0 in n
12.208 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.208 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
12.208 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
12.208 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.208 * [taylor]: Taking taylor expansion of 2 in n
12.208 * [backup-simplify]: Simplify 2 into 2
12.208 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.209 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.209 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.209 * [taylor]: Taking taylor expansion of 2 in n
12.209 * [backup-simplify]: Simplify 2 into 2
12.209 * [taylor]: Taking taylor expansion of (* n PI) in n
12.209 * [taylor]: Taking taylor expansion of n in n
12.209 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify 1 into 1
12.209 * [taylor]: Taking taylor expansion of PI in n
12.209 * [backup-simplify]: Simplify PI into PI
12.210 * [backup-simplify]: Simplify (* 0 PI) into 0
12.210 * [backup-simplify]: Simplify (* 2 0) into 0
12.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.213 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.214 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.214 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.214 * [taylor]: Taking taylor expansion of (* n PI) in n
12.214 * [taylor]: Taking taylor expansion of n in n
12.214 * [backup-simplify]: Simplify 0 into 0
12.214 * [backup-simplify]: Simplify 1 into 1
12.214 * [taylor]: Taking taylor expansion of PI in n
12.214 * [backup-simplify]: Simplify PI into PI
12.215 * [backup-simplify]: Simplify (* 0 PI) into 0
12.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.217 * [backup-simplify]: Simplify (sqrt 0) into 0
12.218 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.218 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
12.218 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.218 * [taylor]: Taking taylor expansion of +nan.0 in n
12.218 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.218 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.218 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.218 * [taylor]: Taking taylor expansion of 2 in n
12.218 * [backup-simplify]: Simplify 2 into 2
12.219 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.219 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.219 * [taylor]: Taking taylor expansion of (* n PI) in n
12.219 * [taylor]: Taking taylor expansion of n in n
12.219 * [backup-simplify]: Simplify 0 into 0
12.219 * [backup-simplify]: Simplify 1 into 1
12.219 * [taylor]: Taking taylor expansion of PI in n
12.219 * [backup-simplify]: Simplify PI into PI
12.220 * [backup-simplify]: Simplify (* 0 PI) into 0
12.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.222 * [backup-simplify]: Simplify (sqrt 0) into 0
12.223 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.224 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.225 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
12.226 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
12.226 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.227 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.227 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.227 * [backup-simplify]: Simplify (- 0) into 0
12.227 * [backup-simplify]: Simplify (+ 0 0) into 0
12.227 * [backup-simplify]: Simplify (- 0) into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.229 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.233 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.235 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.236 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.236 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.240 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
12.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
12.243 * [backup-simplify]: Simplify (- 0) into 0
12.243 * [backup-simplify]: Simplify (+ 0 0) into 0
12.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
12.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
12.246 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
12.246 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
12.246 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
12.246 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
12.246 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
12.246 * [taylor]: Taking taylor expansion of +nan.0 in n
12.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.246 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
12.246 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
12.246 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.246 * [taylor]: Taking taylor expansion of 2 in n
12.247 * [backup-simplify]: Simplify 2 into 2
12.247 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.247 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.247 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.247 * [taylor]: Taking taylor expansion of 2 in n
12.247 * [backup-simplify]: Simplify 2 into 2
12.247 * [taylor]: Taking taylor expansion of (* n PI) in n
12.247 * [taylor]: Taking taylor expansion of n in n
12.247 * [backup-simplify]: Simplify 0 into 0
12.247 * [backup-simplify]: Simplify 1 into 1
12.247 * [taylor]: Taking taylor expansion of PI in n
12.247 * [backup-simplify]: Simplify PI into PI
12.248 * [backup-simplify]: Simplify (* 0 PI) into 0
12.248 * [backup-simplify]: Simplify (* 2 0) into 0
12.249 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.250 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.250 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.250 * [taylor]: Taking taylor expansion of (* n PI) in n
12.250 * [taylor]: Taking taylor expansion of n in n
12.250 * [backup-simplify]: Simplify 0 into 0
12.250 * [backup-simplify]: Simplify 1 into 1
12.250 * [taylor]: Taking taylor expansion of PI in n
12.250 * [backup-simplify]: Simplify PI into PI
12.251 * [backup-simplify]: Simplify (* 0 PI) into 0
12.252 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.252 * [backup-simplify]: Simplify (sqrt 0) into 0
12.253 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.253 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
12.253 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
12.253 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
12.253 * [taylor]: Taking taylor expansion of +nan.0 in n
12.253 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.253 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
12.253 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.253 * [taylor]: Taking taylor expansion of 2 in n
12.253 * [backup-simplify]: Simplify 2 into 2
12.253 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.253 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.253 * [taylor]: Taking taylor expansion of (* n PI) in n
12.254 * [taylor]: Taking taylor expansion of n in n
12.254 * [backup-simplify]: Simplify 0 into 0
12.254 * [backup-simplify]: Simplify 1 into 1
12.254 * [taylor]: Taking taylor expansion of PI in n
12.254 * [backup-simplify]: Simplify PI into PI
12.254 * [backup-simplify]: Simplify (* 0 PI) into 0
12.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.255 * [backup-simplify]: Simplify (sqrt 0) into 0
12.256 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
12.256 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
12.256 * [taylor]: Taking taylor expansion of +nan.0 in n
12.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.256 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
12.256 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
12.256 * [taylor]: Taking taylor expansion of (sqrt 2) in n
12.256 * [taylor]: Taking taylor expansion of 2 in n
12.256 * [backup-simplify]: Simplify 2 into 2
12.256 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
12.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
12.257 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
12.257 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.257 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.257 * [taylor]: Taking taylor expansion of 2 in n
12.257 * [backup-simplify]: Simplify 2 into 2
12.257 * [taylor]: Taking taylor expansion of (* n PI) in n
12.257 * [taylor]: Taking taylor expansion of n in n
12.257 * [backup-simplify]: Simplify 0 into 0
12.257 * [backup-simplify]: Simplify 1 into 1
12.257 * [taylor]: Taking taylor expansion of PI in n
12.257 * [backup-simplify]: Simplify PI into PI
12.257 * [backup-simplify]: Simplify (* 0 PI) into 0
12.258 * [backup-simplify]: Simplify (* 2 0) into 0
12.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.259 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.260 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.262 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
12.262 * [taylor]: Taking taylor expansion of (* n PI) in n
12.262 * [taylor]: Taking taylor expansion of n in n
12.262 * [backup-simplify]: Simplify 0 into 0
12.262 * [backup-simplify]: Simplify 1 into 1
12.262 * [taylor]: Taking taylor expansion of PI in n
12.262 * [backup-simplify]: Simplify PI into PI
12.262 * [backup-simplify]: Simplify (* 0 PI) into 0
12.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.264 * [backup-simplify]: Simplify (sqrt 0) into 0
12.265 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
12.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.268 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
12.269 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
12.270 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.271 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
12.271 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.274 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.276 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
12.278 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
12.279 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
12.280 * [backup-simplify]: Simplify (* +nan.0 0) into 0
12.280 * [backup-simplify]: Simplify (- 0) into 0
12.281 * [backup-simplify]: Simplify (+ 0 0) into 0
12.281 * [backup-simplify]: Simplify (- 0) into 0
12.287 * [backup-simplify]: Simplify (+ 0 0) into 0
12.287 * [backup-simplify]: Simplify (- 0) into 0
12.287 * [backup-simplify]: Simplify 0 into 0
12.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.291 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.292 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
12.293 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
12.297 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
12.299 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.302 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
12.304 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
12.309 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
12.314 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
12.318 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
12.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.322 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
12.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
12.328 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.337 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.342 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.345 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
12.362 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
12.363 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
12.363 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
12.363 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
12.363 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
12.363 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
12.363 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
12.363 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
12.363 * [taylor]: Taking taylor expansion of 1/2 in n
12.363 * [backup-simplify]: Simplify 1/2 into 1/2
12.363 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.363 * [taylor]: Taking taylor expansion of 1 in n
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.363 * [taylor]: Taking taylor expansion of k in n
12.363 * [backup-simplify]: Simplify k into k
12.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.363 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.363 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.364 * [taylor]: Taking taylor expansion of 2 in n
12.364 * [backup-simplify]: Simplify 2 into 2
12.364 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.364 * [taylor]: Taking taylor expansion of PI in n
12.364 * [backup-simplify]: Simplify PI into PI
12.364 * [taylor]: Taking taylor expansion of n in n
12.364 * [backup-simplify]: Simplify 0 into 0
12.364 * [backup-simplify]: Simplify 1 into 1
12.364 * [backup-simplify]: Simplify (/ PI 1) into PI
12.365 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.366 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.366 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.366 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.366 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
12.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.369 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.371 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
12.371 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.371 * [taylor]: Taking taylor expansion of k in n
12.371 * [backup-simplify]: Simplify k into k
12.371 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.371 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
12.371 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
12.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
12.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
12.371 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
12.371 * [taylor]: Taking taylor expansion of 1/2 in k
12.371 * [backup-simplify]: Simplify 1/2 into 1/2
12.371 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
12.371 * [taylor]: Taking taylor expansion of 1 in k
12.371 * [backup-simplify]: Simplify 1 into 1
12.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.371 * [taylor]: Taking taylor expansion of k in k
12.371 * [backup-simplify]: Simplify 0 into 0
12.371 * [backup-simplify]: Simplify 1 into 1
12.372 * [backup-simplify]: Simplify (/ 1 1) into 1
12.372 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
12.372 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
12.372 * [taylor]: Taking taylor expansion of 2 in k
12.372 * [backup-simplify]: Simplify 2 into 2
12.372 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.372 * [taylor]: Taking taylor expansion of PI in k
12.372 * [backup-simplify]: Simplify PI into PI
12.372 * [taylor]: Taking taylor expansion of n in k
12.372 * [backup-simplify]: Simplify n into n
12.372 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.372 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
12.372 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
12.373 * [backup-simplify]: Simplify (- 1) into -1
12.373 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.373 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
12.374 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
12.374 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
12.374 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.374 * [taylor]: Taking taylor expansion of k in k
12.374 * [backup-simplify]: Simplify 0 into 0
12.374 * [backup-simplify]: Simplify 1 into 1
12.374 * [backup-simplify]: Simplify (sqrt 0) into 0
12.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.376 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
12.376 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
12.376 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
12.376 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
12.376 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
12.376 * [taylor]: Taking taylor expansion of 1/2 in k
12.376 * [backup-simplify]: Simplify 1/2 into 1/2
12.376 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
12.376 * [taylor]: Taking taylor expansion of 1 in k
12.376 * [backup-simplify]: Simplify 1 into 1
12.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.376 * [taylor]: Taking taylor expansion of k in k
12.376 * [backup-simplify]: Simplify 0 into 0
12.376 * [backup-simplify]: Simplify 1 into 1
12.377 * [backup-simplify]: Simplify (/ 1 1) into 1
12.377 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
12.377 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
12.377 * [taylor]: Taking taylor expansion of 2 in k
12.377 * [backup-simplify]: Simplify 2 into 2
12.377 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.377 * [taylor]: Taking taylor expansion of PI in k
12.377 * [backup-simplify]: Simplify PI into PI
12.377 * [taylor]: Taking taylor expansion of n in k
12.377 * [backup-simplify]: Simplify n into n
12.377 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.377 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
12.377 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
12.377 * [backup-simplify]: Simplify (- 1) into -1
12.378 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.378 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
12.378 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
12.379 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
12.379 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.379 * [taylor]: Taking taylor expansion of k in k
12.379 * [backup-simplify]: Simplify 0 into 0
12.379 * [backup-simplify]: Simplify 1 into 1
12.379 * [backup-simplify]: Simplify (sqrt 0) into 0
12.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.381 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
12.381 * [taylor]: Taking taylor expansion of 0 in n
12.381 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.381 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.382 * [taylor]: Taking taylor expansion of +nan.0 in n
12.382 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.382 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.382 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.382 * [taylor]: Taking taylor expansion of 1/2 in n
12.382 * [backup-simplify]: Simplify 1/2 into 1/2
12.382 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.382 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.382 * [taylor]: Taking taylor expansion of 1 in n
12.382 * [backup-simplify]: Simplify 1 into 1
12.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.382 * [taylor]: Taking taylor expansion of k in n
12.382 * [backup-simplify]: Simplify k into k
12.382 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.382 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.382 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.382 * [taylor]: Taking taylor expansion of 2 in n
12.382 * [backup-simplify]: Simplify 2 into 2
12.382 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.382 * [taylor]: Taking taylor expansion of PI in n
12.382 * [backup-simplify]: Simplify PI into PI
12.382 * [taylor]: Taking taylor expansion of n in n
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.383 * [backup-simplify]: Simplify (/ PI 1) into PI
12.383 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.384 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.384 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.384 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.387 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.388 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.389 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
12.390 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
12.391 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.393 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.393 * [backup-simplify]: Simplify 0 into 0
12.396 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.397 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.397 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.397 * [taylor]: Taking taylor expansion of +nan.0 in n
12.397 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.397 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.397 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.397 * [taylor]: Taking taylor expansion of 1/2 in n
12.397 * [backup-simplify]: Simplify 1/2 into 1/2
12.397 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.397 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.397 * [taylor]: Taking taylor expansion of 1 in n
12.397 * [backup-simplify]: Simplify 1 into 1
12.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.397 * [taylor]: Taking taylor expansion of k in n
12.397 * [backup-simplify]: Simplify k into k
12.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.397 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.397 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.397 * [taylor]: Taking taylor expansion of 2 in n
12.397 * [backup-simplify]: Simplify 2 into 2
12.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.397 * [taylor]: Taking taylor expansion of PI in n
12.397 * [backup-simplify]: Simplify PI into PI
12.397 * [taylor]: Taking taylor expansion of n in n
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 1 into 1
12.398 * [backup-simplify]: Simplify (/ PI 1) into PI
12.398 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.399 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.399 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.399 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.402 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.403 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.410 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
12.412 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
12.413 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.414 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.416 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.419 * [backup-simplify]: Simplify (- 0) into 0
12.419 * [backup-simplify]: Simplify (+ 0 0) into 0
12.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.422 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
12.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
12.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.427 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
12.428 * [backup-simplify]: Simplify (- 0) into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.434 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
12.434 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
12.434 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
12.434 * [taylor]: Taking taylor expansion of +nan.0 in n
12.434 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.434 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
12.434 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
12.434 * [taylor]: Taking taylor expansion of 1/2 in n
12.434 * [backup-simplify]: Simplify 1/2 into 1/2
12.434 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
12.434 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
12.434 * [taylor]: Taking taylor expansion of 1 in n
12.434 * [backup-simplify]: Simplify 1 into 1
12.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.434 * [taylor]: Taking taylor expansion of k in n
12.434 * [backup-simplify]: Simplify k into k
12.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.434 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.434 * [taylor]: Taking taylor expansion of 2 in n
12.434 * [backup-simplify]: Simplify 2 into 2
12.434 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.434 * [taylor]: Taking taylor expansion of PI in n
12.434 * [backup-simplify]: Simplify PI into PI
12.434 * [taylor]: Taking taylor expansion of n in n
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 1 into 1
12.435 * [backup-simplify]: Simplify (/ PI 1) into PI
12.435 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.436 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.436 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
12.436 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
12.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.439 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
12.440 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
12.441 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
12.443 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
12.444 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.445 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
12.449 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
12.450 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
12.450 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
12.450 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
12.450 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
12.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
12.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
12.450 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
12.450 * [taylor]: Taking taylor expansion of 1/2 in n
12.450 * [backup-simplify]: Simplify 1/2 into 1/2
12.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.450 * [taylor]: Taking taylor expansion of k in n
12.450 * [backup-simplify]: Simplify k into k
12.450 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.450 * [taylor]: Taking taylor expansion of 1 in n
12.450 * [backup-simplify]: Simplify 1 into 1
12.450 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.450 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.450 * [taylor]: Taking taylor expansion of -2 in n
12.450 * [backup-simplify]: Simplify -2 into -2
12.450 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.450 * [taylor]: Taking taylor expansion of PI in n
12.451 * [backup-simplify]: Simplify PI into PI
12.451 * [taylor]: Taking taylor expansion of n in n
12.451 * [backup-simplify]: Simplify 0 into 0
12.451 * [backup-simplify]: Simplify 1 into 1
12.451 * [backup-simplify]: Simplify (/ PI 1) into PI
12.452 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.453 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.453 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.453 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
12.455 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.456 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.457 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.457 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.458 * [taylor]: Taking taylor expansion of -1 in n
12.458 * [backup-simplify]: Simplify -1 into -1
12.458 * [taylor]: Taking taylor expansion of k in n
12.458 * [backup-simplify]: Simplify k into k
12.458 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.458 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.458 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.459 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
12.459 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
12.459 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.459 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.459 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.459 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.459 * [taylor]: Taking taylor expansion of 1/2 in k
12.459 * [backup-simplify]: Simplify 1/2 into 1/2
12.459 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.460 * [taylor]: Taking taylor expansion of k in k
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [backup-simplify]: Simplify (/ 1 1) into 1
12.460 * [taylor]: Taking taylor expansion of 1 in k
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.460 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.460 * [taylor]: Taking taylor expansion of -2 in k
12.460 * [backup-simplify]: Simplify -2 into -2
12.460 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.460 * [taylor]: Taking taylor expansion of PI in k
12.460 * [backup-simplify]: Simplify PI into PI
12.460 * [taylor]: Taking taylor expansion of n in k
12.460 * [backup-simplify]: Simplify n into n
12.460 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.460 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.460 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.461 * [backup-simplify]: Simplify (+ 1 0) into 1
12.461 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.462 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.462 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.462 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.462 * [taylor]: Taking taylor expansion of -1 in k
12.462 * [backup-simplify]: Simplify -1 into -1
12.462 * [taylor]: Taking taylor expansion of k in k
12.462 * [backup-simplify]: Simplify 0 into 0
12.462 * [backup-simplify]: Simplify 1 into 1
12.462 * [backup-simplify]: Simplify (/ -1 1) into -1
12.463 * [backup-simplify]: Simplify (sqrt 0) into 0
12.464 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.465 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
12.465 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
12.465 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
12.465 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
12.465 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
12.465 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
12.465 * [taylor]: Taking taylor expansion of 1/2 in k
12.465 * [backup-simplify]: Simplify 1/2 into 1/2
12.465 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
12.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.465 * [taylor]: Taking taylor expansion of k in k
12.465 * [backup-simplify]: Simplify 0 into 0
12.465 * [backup-simplify]: Simplify 1 into 1
12.465 * [backup-simplify]: Simplify (/ 1 1) into 1
12.466 * [taylor]: Taking taylor expansion of 1 in k
12.466 * [backup-simplify]: Simplify 1 into 1
12.466 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.466 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.466 * [taylor]: Taking taylor expansion of -2 in k
12.466 * [backup-simplify]: Simplify -2 into -2
12.466 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.466 * [taylor]: Taking taylor expansion of PI in k
12.466 * [backup-simplify]: Simplify PI into PI
12.466 * [taylor]: Taking taylor expansion of n in k
12.466 * [backup-simplify]: Simplify n into n
12.466 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.466 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.466 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.466 * [backup-simplify]: Simplify (+ 1 0) into 1
12.467 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.467 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
12.467 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
12.467 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.467 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.467 * [taylor]: Taking taylor expansion of -1 in k
12.467 * [backup-simplify]: Simplify -1 into -1
12.467 * [taylor]: Taking taylor expansion of k in k
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify 1 into 1
12.468 * [backup-simplify]: Simplify (/ -1 1) into -1
12.468 * [backup-simplify]: Simplify (sqrt 0) into 0
12.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.470 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
12.470 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.470 * [taylor]: Taking taylor expansion of +nan.0 in n
12.470 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.470 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.470 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.470 * [taylor]: Taking taylor expansion of 1/2 in n
12.470 * [backup-simplify]: Simplify 1/2 into 1/2
12.470 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.470 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.470 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.470 * [taylor]: Taking taylor expansion of -2 in n
12.470 * [backup-simplify]: Simplify -2 into -2
12.470 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.470 * [taylor]: Taking taylor expansion of PI in n
12.470 * [backup-simplify]: Simplify PI into PI
12.470 * [taylor]: Taking taylor expansion of n in n
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (/ PI 1) into PI
12.471 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.472 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.472 * [taylor]: Taking taylor expansion of k in n
12.472 * [backup-simplify]: Simplify k into k
12.472 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.473 * [taylor]: Taking taylor expansion of 1 in n
12.473 * [backup-simplify]: Simplify 1 into 1
12.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.474 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.475 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.476 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.477 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.478 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.479 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.484 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
12.484 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.484 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.484 * [taylor]: Taking taylor expansion of +nan.0 in n
12.484 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.484 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.484 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.484 * [taylor]: Taking taylor expansion of 1/2 in n
12.484 * [backup-simplify]: Simplify 1/2 into 1/2
12.485 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.485 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.485 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.485 * [taylor]: Taking taylor expansion of -2 in n
12.485 * [backup-simplify]: Simplify -2 into -2
12.485 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.485 * [taylor]: Taking taylor expansion of PI in n
12.485 * [backup-simplify]: Simplify PI into PI
12.485 * [taylor]: Taking taylor expansion of n in n
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 1 into 1
12.485 * [backup-simplify]: Simplify (/ PI 1) into PI
12.486 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.486 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.487 * [taylor]: Taking taylor expansion of k in n
12.487 * [backup-simplify]: Simplify k into k
12.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.487 * [taylor]: Taking taylor expansion of 1 in n
12.487 * [backup-simplify]: Simplify 1 into 1
12.488 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.488 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.489 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.490 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.491 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.492 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.494 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
12.495 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
12.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.496 * [backup-simplify]: Simplify (+ 0 0) into 0
12.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.498 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
12.501 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
12.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
12.504 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.505 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
12.505 * [backup-simplify]: Simplify 0 into 0
12.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.509 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
12.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
12.509 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
12.509 * [taylor]: Taking taylor expansion of +nan.0 in n
12.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
12.509 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
12.509 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
12.509 * [taylor]: Taking taylor expansion of 1/2 in n
12.509 * [backup-simplify]: Simplify 1/2 into 1/2
12.509 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
12.509 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.509 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.509 * [taylor]: Taking taylor expansion of -2 in n
12.509 * [backup-simplify]: Simplify -2 into -2
12.509 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.509 * [taylor]: Taking taylor expansion of PI in n
12.509 * [backup-simplify]: Simplify PI into PI
12.509 * [taylor]: Taking taylor expansion of n in n
12.509 * [backup-simplify]: Simplify 0 into 0
12.509 * [backup-simplify]: Simplify 1 into 1
12.510 * [backup-simplify]: Simplify (/ PI 1) into PI
12.510 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.511 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
12.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.511 * [taylor]: Taking taylor expansion of k in n
12.511 * [backup-simplify]: Simplify k into k
12.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.511 * [taylor]: Taking taylor expansion of 1 in n
12.511 * [backup-simplify]: Simplify 1 into 1
12.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.512 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
12.512 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
12.513 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
12.514 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
12.514 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
12.515 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
12.516 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
12.518 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
12.519 * * * [progress]: simplifying candidates
12.519 * * * * [progress]: [ 1 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.519 * * * * [progress]: [ 2 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.519 * * * * [progress]: [ 3 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 4 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 5 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 6 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 7 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 8 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 9 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 10 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
12.519 * * * * [progress]: [ 11 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 12 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
12.519 * * * * [progress]: [ 13 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
12.519 * * * * [progress]: [ 14 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
12.519 * * * * [progress]: [ 15 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
12.519 * * * * [progress]: [ 16 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
12.519 * * * * [progress]: [ 17 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
12.519 * * * * [progress]: [ 18 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
12.519 * * * * [progress]: [ 19 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
12.519 * * * * [progress]: [ 20 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
12.519 * * * * [progress]: [ 21 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
12.519 * * * * [progress]: [ 22 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
12.519 * * * * [progress]: [ 23 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
12.520 * * * * [progress]: [ 24 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
12.520 * * * * [progress]: [ 25 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
12.520 * * * * [progress]: [ 26 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
12.520 * * * * [progress]: [ 27 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
12.520 * * * * [progress]: [ 28 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
12.520 * * * * [progress]: [ 29 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
12.520 * * * * [progress]: [ 30 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 31 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 32 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
12.520 * * * * [progress]: [ 33 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
12.520 * * * * [progress]: [ 34 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
12.520 * * * * [progress]: [ 35 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 36 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 37 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 38 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 39 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 40 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.520 * * * * [progress]: [ 41 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.520 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.520 * * * * [progress]: [ 43 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 44 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 45 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 46 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 47 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 48 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
12.520 * * * * [progress]: [ 49 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 50 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 51 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 52 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 53 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 54 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 55 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 56 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 57 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 58 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 59 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 60 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 61 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 62 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 63 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 64 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 65 / 196 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 66 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 67 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 68 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 69 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 70 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 71 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 72 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 73 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 74 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 75 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 76 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.521 * * * * [progress]: [ 77 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 78 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 79 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 80 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 81 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 82 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 83 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 84 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 85 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 86 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 87 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 88 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 89 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 91 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 92 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 93 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 94 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 95 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 96 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 97 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 98 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 99 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 100 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 101 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 102 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.522 * * * * [progress]: [ 103 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 104 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 105 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 106 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 107 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 108 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 109 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 111 / 196 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.523 * * * * [progress]: [ 112 / 196 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.523 * * * * [progress]: [ 113 / 196 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.523 * * * * [progress]: [ 114 / 196 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
12.523 * * * * [progress]: [ 115 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 116 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 117 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 118 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 119 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.523 * * * * [progress]: [ 120 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 121 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 122 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 123 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 124 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.523 * * * * [progress]: [ 125 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 126 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 127 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 128 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.523 * * * * [progress]: [ 129 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.523 * * * * [progress]: [ 130 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
12.524 * * * * [progress]: [ 131 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
12.524 * * * * [progress]: [ 132 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.524 * * * * [progress]: [ 133 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
12.524 * * * * [progress]: [ 134 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 135 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 136 / 196 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 137 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 138 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 139 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 140 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 141 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 142 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
12.524 * * * * [progress]: [ 143 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.524 * * * * [progress]: [ 144 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 145 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.524 * * * * [progress]: [ 146 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 147 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.524 * * * * [progress]: [ 148 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 149 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.524 * * * * [progress]: [ 150 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 151 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.524 * * * * [progress]: [ 152 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.524 * * * * [progress]: [ 153 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
12.524 * * * * [progress]: [ 154 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
12.524 * * * * [progress]: [ 155 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 156 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 157 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.525 * * * * [progress]: [ 158 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
12.525 * * * * [progress]: [ 159 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 160 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 161 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 163 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 164 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 165 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 166 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 167 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 168 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 169 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 170 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 171 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 172 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 173 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 174 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 175 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 176 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 177 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 178 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 179 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 180 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
12.525 * * * * [progress]: [ 181 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
12.525 * * * * [progress]: [ 182 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
12.526 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
12.526 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
12.526 * * * * [progress]: [ 185 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
12.526 * * * * [progress]: [ 186 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
12.526 * * * * [progress]: [ 187 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
12.526 * * * * [progress]: [ 188 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 189 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 190 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 191 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 192 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 193 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
12.526 * * * * [progress]: [ 194 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
12.526 * * * * [progress]: [ 195 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
12.526 * * * * [progress]: [ 196 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
12.528 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* (* 2 PI) n) (/ 1 2)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (expm1 (/ 1 (sqrt k))), (log1p (/ 1 (sqrt k))), (- 1/2), (- 1), (- (/ 1 2)), (- (log (sqrt k))), (- 0 (log (sqrt k))), (- (log 1) (log (sqrt k))), (log (/ 1 (sqrt k))), (exp (/ 1 (sqrt k))), (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (cbrt (/ 1 (sqrt k))), (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), (- 1), (- (sqrt k)), (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt 1) (cbrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt 1) (sqrt (cbrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))), (/ (cbrt 1) (sqrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)), (/ (cbrt 1) (sqrt k)), (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))), (/ (cbrt 1) (sqrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) 1), (/ (cbrt 1) (sqrt k)), (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt 1) (cbrt (sqrt k))), (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))), (/ (sqrt 1) (sqrt (cbrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt 1)), (/ (sqrt 1) (sqrt k)), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) 1), (/ (sqrt 1) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 1), (/ 1 (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) 1), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ 1 (sqrt (sqrt k))), (/ 1 1), (/ (sqrt k) (cbrt 1)), (/ (sqrt k) (sqrt 1)), (/ (sqrt k) 1), (real->posit16 (/ 1 (sqrt k))), (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* 1 (pow (* (* 2 PI) n) (/ 1 2))), (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))), (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))), (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))), (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))), (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
12.531 * * [simplify]: iteration 1: (353 enodes)
12.818 * * [simplify]: iteration 2: (1551 enodes)
13.295 * * [simplify]: Extracting #0: cost 103 inf + 0
13.298 * * [simplify]: Extracting #1: cost 594 inf + 3
13.304 * * [simplify]: Extracting #2: cost 1083 inf + 7386
13.325 * * [simplify]: Extracting #3: cost 1061 inf + 60432
13.362 * * [simplify]: Extracting #4: cost 549 inf + 242619
13.439 * * [simplify]: Extracting #5: cost 151 inf + 402494
13.533 * * [simplify]: Extracting #6: cost 58 inf + 444074
13.668 * * [simplify]: Extracting #7: cost 26 inf + 458850
13.808 * * [simplify]: Extracting #8: cost 4 inf + 471911
13.905 * * [simplify]: Extracting #9: cost 0 inf + 474623
13.991 * * [simplify]: Extracting #10: cost 0 inf + 474478
14.064 * * [simplify]: Extracting #11: cost 0 inf + 474453
14.173 * [simplify]: Simplified to (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (- 1 k) 2) (log (* (* 2 PI) n))), (* (/ (- 1 k) 2) (log (* (* 2 PI) n))), (* (/ (- 1 k) 2) (log (* (* 2 PI) n))), (* (/ (- 1 k) 2) (log (* (* 2 PI) n))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (sqrt (- 1 k))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (* (* 2 PI) n), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (* (/ (- 1 k) 2) (log (* (* 2 PI) n))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (log (* (* 2 PI) n)), (log (* (* 2 PI) n)), (log (* (* 2 PI) n)), (* (exp (* n PI)) (exp (* n PI))), (* (* (* 2 PI) (* 2 PI)) (* (* 2 PI) (* n (* n n)))), (* (* (* 2 PI) (* 2 PI)) (* (* 2 PI) (* n (* n n)))), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* (* (cbrt n) (cbrt n)) 2) PI), (* (sqrt n) (* 2 PI)), (* 2 PI), (* n PI), (real->posit16 (* (* 2 PI) n)), (expm1 (/ 1 (sqrt k))), (log1p (/ 1 (sqrt k))), -1/2, -1, -1/2, (- (log (sqrt k))), (- (log (sqrt k))), (- (log (sqrt k))), (- (log (sqrt k))), (exp (/ 1 (sqrt k))), (/ (/ 1 (sqrt k)) k), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (cbrt (/ 1 (sqrt k))), (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), -1, (- (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt k)), (sqrt k), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt (sqrt k))), 1, (sqrt k), (sqrt k), (sqrt k), (real->posit16 (/ 1 (sqrt k))), (expm1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (log1p (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))), (exp (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (/ (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3) (* (sqrt k) k)), (* (* (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 3) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))) (/ 1 (sqrt k))), (* (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))), (cbrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (* (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (sqrt (* (* 2 PI) n)), (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))), (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))), (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)), (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt k)), (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)), (/ 1 (sqrt k)), (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt k)), (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)), (/ (sqrt (* (* 2 PI) n)) (sqrt k)), (pow (* (* 2 PI) n) (/ (- 1 k) 2)), (real->posit16 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k))), (fma (* (* (sqrt (* (* 2 PI) n)) (log (* 2 PI))) (* (* (log n) k) k)) 1/4 (- (fma 1/8 (* (sqrt (* (* 2 PI) n)) (* (* (log n) k) (* (log n) k))) (fma (* (* k k) (* (log (* 2 PI)) (* (sqrt (* (* 2 PI) n)) (log (* 2 PI))))) 1/8 (sqrt (* (* 2 PI) n)))) (* (* k (+ (* (log n) (sqrt (* (* 2 PI) n))) (* (sqrt (* (* 2 PI) n)) (log (* 2 PI))))) 1/2))), (exp (* (* 1/2 (- 1 k)) (log (* (* 2 PI) n)))), (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))), (* (* 2 PI) n), (* (* 2 PI) n), (* (* 2 PI) n), (- (* (- +nan.0) (* k k)) (+ (- +nan.0) (* +nan.0 k))), (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k)))), (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (* k k))), (+ (* (* +nan.0 (sqrt 2)) (- (* (* n PI) k))) (- (* (* n PI) (* +nan.0 (sqrt 2))) (fma +nan.0 (* (* (* n PI) k) (* (sqrt 2) (log (* 2 PI)))) (- (* (* +nan.0 (sqrt 2)) (- (* (* (log n) k) (* n PI)) (* (* n PI) (* n PI)))))))), (+ (* (/ (exp (* (* 1/2 (- 1 k)) (log (* (* 2 PI) n)))) k) (- +nan.0)) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (log (* (* 2 PI) n)))) (* k k))) (* (/ +nan.0 k) (/ (exp (* (* 1/2 (- 1 k)) (log (* (* 2 PI) n)))) (* k k))))), (+ (* (- +nan.0) (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (* +nan.0 (- (/ (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k) k) (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
14.197 * * * [progress]: adding candidates to table
16.299 * * [progress]: iteration 3 / 4
16.299 * * * [progress]: picking best candidate
16.332 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
16.332 * * * [progress]: localizing error
16.368 * * * [progress]: generating rewritten candidates
16.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
16.401 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
16.435 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
16.506 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
16.525 * * * [progress]: generating series expansions
16.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
16.525 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
16.526 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
16.526 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
16.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
16.526 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
16.526 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
16.526 * [taylor]: Taking taylor expansion of 1/4 in k
16.526 * [backup-simplify]: Simplify 1/4 into 1/4
16.526 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.526 * [taylor]: Taking taylor expansion of 1 in k
16.526 * [backup-simplify]: Simplify 1 into 1
16.526 * [taylor]: Taking taylor expansion of k in k
16.526 * [backup-simplify]: Simplify 0 into 0
16.526 * [backup-simplify]: Simplify 1 into 1
16.526 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
16.526 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
16.526 * [taylor]: Taking taylor expansion of 2 in k
16.526 * [backup-simplify]: Simplify 2 into 2
16.526 * [taylor]: Taking taylor expansion of (* n PI) in k
16.526 * [taylor]: Taking taylor expansion of n in k
16.526 * [backup-simplify]: Simplify n into n
16.526 * [taylor]: Taking taylor expansion of PI in k
16.526 * [backup-simplify]: Simplify PI into PI
16.526 * [backup-simplify]: Simplify (* n PI) into (* n PI)
16.526 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
16.526 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
16.526 * [backup-simplify]: Simplify (- 0) into 0
16.527 * [backup-simplify]: Simplify (+ 1 0) into 1
16.527 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
16.527 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
16.527 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
16.527 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.527 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.527 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.527 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.527 * [taylor]: Taking taylor expansion of 1/4 in n
16.527 * [backup-simplify]: Simplify 1/4 into 1/4
16.527 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.527 * [taylor]: Taking taylor expansion of 1 in n
16.527 * [backup-simplify]: Simplify 1 into 1
16.527 * [taylor]: Taking taylor expansion of k in n
16.527 * [backup-simplify]: Simplify k into k
16.527 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.527 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.527 * [taylor]: Taking taylor expansion of 2 in n
16.527 * [backup-simplify]: Simplify 2 into 2
16.527 * [taylor]: Taking taylor expansion of (* n PI) in n
16.527 * [taylor]: Taking taylor expansion of n in n
16.527 * [backup-simplify]: Simplify 0 into 0
16.527 * [backup-simplify]: Simplify 1 into 1
16.527 * [taylor]: Taking taylor expansion of PI in n
16.527 * [backup-simplify]: Simplify PI into PI
16.528 * [backup-simplify]: Simplify (* 0 PI) into 0
16.528 * [backup-simplify]: Simplify (* 2 0) into 0
16.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.531 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.532 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.532 * [backup-simplify]: Simplify (- k) into (- k)
16.532 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.532 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.535 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.536 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.536 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.536 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.536 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.536 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.536 * [taylor]: Taking taylor expansion of 1/4 in n
16.536 * [backup-simplify]: Simplify 1/4 into 1/4
16.536 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.536 * [taylor]: Taking taylor expansion of 1 in n
16.536 * [backup-simplify]: Simplify 1 into 1
16.536 * [taylor]: Taking taylor expansion of k in n
16.536 * [backup-simplify]: Simplify k into k
16.536 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.536 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.536 * [taylor]: Taking taylor expansion of 2 in n
16.536 * [backup-simplify]: Simplify 2 into 2
16.536 * [taylor]: Taking taylor expansion of (* n PI) in n
16.536 * [taylor]: Taking taylor expansion of n in n
16.536 * [backup-simplify]: Simplify 0 into 0
16.536 * [backup-simplify]: Simplify 1 into 1
16.536 * [taylor]: Taking taylor expansion of PI in n
16.536 * [backup-simplify]: Simplify PI into PI
16.537 * [backup-simplify]: Simplify (* 0 PI) into 0
16.537 * [backup-simplify]: Simplify (* 2 0) into 0
16.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.540 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.542 * [backup-simplify]: Simplify (- k) into (- k)
16.542 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.542 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.544 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.545 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.545 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
16.545 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
16.545 * [taylor]: Taking taylor expansion of 1/4 in k
16.545 * [backup-simplify]: Simplify 1/4 into 1/4
16.545 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
16.546 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.546 * [taylor]: Taking taylor expansion of 1 in k
16.546 * [backup-simplify]: Simplify 1 into 1
16.546 * [taylor]: Taking taylor expansion of k in k
16.546 * [backup-simplify]: Simplify 0 into 0
16.546 * [backup-simplify]: Simplify 1 into 1
16.546 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
16.546 * [taylor]: Taking taylor expansion of (log n) in k
16.546 * [taylor]: Taking taylor expansion of n in k
16.546 * [backup-simplify]: Simplify n into n
16.546 * [backup-simplify]: Simplify (log n) into (log n)
16.546 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.546 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.546 * [taylor]: Taking taylor expansion of 2 in k
16.546 * [backup-simplify]: Simplify 2 into 2
16.546 * [taylor]: Taking taylor expansion of PI in k
16.546 * [backup-simplify]: Simplify PI into PI
16.547 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.548 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.548 * [backup-simplify]: Simplify (- 0) into 0
16.549 * [backup-simplify]: Simplify (+ 1 0) into 1
16.550 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.551 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
16.552 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
16.553 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.554 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.558 * [backup-simplify]: Simplify (- 0) into 0
16.558 * [backup-simplify]: Simplify (+ 0 0) into 0
16.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
16.560 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.566 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
16.567 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.567 * [taylor]: Taking taylor expansion of 0 in k
16.567 * [backup-simplify]: Simplify 0 into 0
16.567 * [backup-simplify]: Simplify 0 into 0
16.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.568 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.569 * [backup-simplify]: Simplify (+ 0 0) into 0
16.570 * [backup-simplify]: Simplify (- 1) into -1
16.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.571 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
16.572 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
16.574 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
16.576 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
16.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.580 * [backup-simplify]: Simplify (- 0) into 0
16.580 * [backup-simplify]: Simplify (+ 0 0) into 0
16.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
16.581 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.582 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.583 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.584 * [taylor]: Taking taylor expansion of 0 in k
16.584 * [backup-simplify]: Simplify 0 into 0
16.584 * [backup-simplify]: Simplify 0 into 0
16.584 * [backup-simplify]: Simplify 0 into 0
16.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.585 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.588 * [backup-simplify]: Simplify (+ 0 0) into 0
16.588 * [backup-simplify]: Simplify (- 0) into 0
16.588 * [backup-simplify]: Simplify (+ 0 0) into 0
16.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.594 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
16.600 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
16.610 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
16.610 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
16.610 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
16.610 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
16.610 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
16.611 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
16.611 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
16.611 * [taylor]: Taking taylor expansion of 1/4 in k
16.611 * [backup-simplify]: Simplify 1/4 into 1/4
16.611 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
16.611 * [taylor]: Taking taylor expansion of 1 in k
16.611 * [backup-simplify]: Simplify 1 into 1
16.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.611 * [taylor]: Taking taylor expansion of k in k
16.611 * [backup-simplify]: Simplify 0 into 0
16.611 * [backup-simplify]: Simplify 1 into 1
16.611 * [backup-simplify]: Simplify (/ 1 1) into 1
16.611 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
16.611 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
16.611 * [taylor]: Taking taylor expansion of 2 in k
16.611 * [backup-simplify]: Simplify 2 into 2
16.611 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.611 * [taylor]: Taking taylor expansion of PI in k
16.611 * [backup-simplify]: Simplify PI into PI
16.611 * [taylor]: Taking taylor expansion of n in k
16.611 * [backup-simplify]: Simplify n into n
16.611 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.612 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
16.612 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
16.612 * [backup-simplify]: Simplify (- 1) into -1
16.612 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.613 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
16.613 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
16.613 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
16.613 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
16.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.613 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.613 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
16.613 * [taylor]: Taking taylor expansion of 1/4 in n
16.613 * [backup-simplify]: Simplify 1/4 into 1/4
16.613 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
16.613 * [taylor]: Taking taylor expansion of 1 in n
16.613 * [backup-simplify]: Simplify 1 into 1
16.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.614 * [taylor]: Taking taylor expansion of k in n
16.614 * [backup-simplify]: Simplify k into k
16.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.614 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.614 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.614 * [taylor]: Taking taylor expansion of 2 in n
16.614 * [backup-simplify]: Simplify 2 into 2
16.614 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.614 * [taylor]: Taking taylor expansion of PI in n
16.614 * [backup-simplify]: Simplify PI into PI
16.614 * [taylor]: Taking taylor expansion of n in n
16.614 * [backup-simplify]: Simplify 0 into 0
16.614 * [backup-simplify]: Simplify 1 into 1
16.614 * [backup-simplify]: Simplify (/ PI 1) into PI
16.615 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.616 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.616 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.616 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
16.616 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
16.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.618 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
16.620 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.620 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
16.620 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.620 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.620 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
16.620 * [taylor]: Taking taylor expansion of 1/4 in n
16.620 * [backup-simplify]: Simplify 1/4 into 1/4
16.620 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
16.620 * [taylor]: Taking taylor expansion of 1 in n
16.620 * [backup-simplify]: Simplify 1 into 1
16.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.620 * [taylor]: Taking taylor expansion of k in n
16.620 * [backup-simplify]: Simplify k into k
16.620 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.620 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.620 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.620 * [taylor]: Taking taylor expansion of 2 in n
16.620 * [backup-simplify]: Simplify 2 into 2
16.620 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.620 * [taylor]: Taking taylor expansion of PI in n
16.620 * [backup-simplify]: Simplify PI into PI
16.620 * [taylor]: Taking taylor expansion of n in n
16.620 * [backup-simplify]: Simplify 0 into 0
16.620 * [backup-simplify]: Simplify 1 into 1
16.621 * [backup-simplify]: Simplify (/ PI 1) into PI
16.621 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.622 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.622 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.622 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
16.622 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
16.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.625 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
16.626 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.626 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
16.626 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
16.626 * [taylor]: Taking taylor expansion of 1/4 in k
16.626 * [backup-simplify]: Simplify 1/4 into 1/4
16.626 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
16.626 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
16.626 * [taylor]: Taking taylor expansion of 1 in k
16.626 * [backup-simplify]: Simplify 1 into 1
16.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.626 * [taylor]: Taking taylor expansion of k in k
16.626 * [backup-simplify]: Simplify 0 into 0
16.626 * [backup-simplify]: Simplify 1 into 1
16.627 * [backup-simplify]: Simplify (/ 1 1) into 1
16.627 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
16.627 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.627 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.627 * [taylor]: Taking taylor expansion of 2 in k
16.627 * [backup-simplify]: Simplify 2 into 2
16.627 * [taylor]: Taking taylor expansion of PI in k
16.627 * [backup-simplify]: Simplify PI into PI
16.628 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.629 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.629 * [taylor]: Taking taylor expansion of (log n) in k
16.629 * [taylor]: Taking taylor expansion of n in k
16.629 * [backup-simplify]: Simplify n into n
16.629 * [backup-simplify]: Simplify (log n) into (log n)
16.629 * [backup-simplify]: Simplify (- 1) into -1
16.629 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.630 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.631 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
16.632 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
16.633 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
16.634 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.635 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.636 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.637 * [backup-simplify]: Simplify (- 0) into 0
16.638 * [backup-simplify]: Simplify (+ 0 0) into 0
16.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
16.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.639 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
16.641 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.641 * [taylor]: Taking taylor expansion of 0 in k
16.641 * [backup-simplify]: Simplify 0 into 0
16.641 * [backup-simplify]: Simplify 0 into 0
16.641 * [backup-simplify]: Simplify 0 into 0
16.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.644 * [backup-simplify]: Simplify (- 0) into 0
16.644 * [backup-simplify]: Simplify (+ 0 0) into 0
16.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
16.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.647 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
16.648 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.648 * [taylor]: Taking taylor expansion of 0 in k
16.648 * [backup-simplify]: Simplify 0 into 0
16.648 * [backup-simplify]: Simplify 0 into 0
16.648 * [backup-simplify]: Simplify 0 into 0
16.648 * [backup-simplify]: Simplify 0 into 0
16.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.652 * [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
16.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.653 * [backup-simplify]: Simplify (- 0) into 0
16.653 * [backup-simplify]: Simplify (+ 0 0) into 0
16.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
16.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.656 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
16.658 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.658 * [taylor]: Taking taylor expansion of 0 in k
16.658 * [backup-simplify]: Simplify 0 into 0
16.658 * [backup-simplify]: Simplify 0 into 0
16.659 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
16.659 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
16.659 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
16.659 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
16.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
16.659 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
16.659 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
16.659 * [taylor]: Taking taylor expansion of 1/4 in k
16.659 * [backup-simplify]: Simplify 1/4 into 1/4
16.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
16.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.659 * [taylor]: Taking taylor expansion of k in k
16.659 * [backup-simplify]: Simplify 0 into 0
16.659 * [backup-simplify]: Simplify 1 into 1
16.659 * [backup-simplify]: Simplify (/ 1 1) into 1
16.660 * [taylor]: Taking taylor expansion of 1 in k
16.660 * [backup-simplify]: Simplify 1 into 1
16.660 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
16.660 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
16.660 * [taylor]: Taking taylor expansion of -2 in k
16.660 * [backup-simplify]: Simplify -2 into -2
16.660 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.660 * [taylor]: Taking taylor expansion of PI in k
16.660 * [backup-simplify]: Simplify PI into PI
16.660 * [taylor]: Taking taylor expansion of n in k
16.660 * [backup-simplify]: Simplify n into n
16.660 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.660 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
16.660 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
16.660 * [backup-simplify]: Simplify (+ 1 0) into 1
16.660 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
16.660 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
16.661 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
16.661 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
16.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
16.661 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
16.661 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
16.661 * [taylor]: Taking taylor expansion of 1/4 in n
16.661 * [backup-simplify]: Simplify 1/4 into 1/4
16.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
16.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.661 * [taylor]: Taking taylor expansion of k in n
16.661 * [backup-simplify]: Simplify k into k
16.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.661 * [taylor]: Taking taylor expansion of 1 in n
16.661 * [backup-simplify]: Simplify 1 into 1
16.661 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.661 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.661 * [taylor]: Taking taylor expansion of -2 in n
16.661 * [backup-simplify]: Simplify -2 into -2
16.661 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.661 * [taylor]: Taking taylor expansion of PI in n
16.661 * [backup-simplify]: Simplify PI into PI
16.661 * [taylor]: Taking taylor expansion of n in n
16.661 * [backup-simplify]: Simplify 0 into 0
16.661 * [backup-simplify]: Simplify 1 into 1
16.662 * [backup-simplify]: Simplify (/ PI 1) into PI
16.662 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.663 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.663 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
16.663 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
16.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.665 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
16.666 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.666 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
16.666 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
16.666 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
16.666 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
16.666 * [taylor]: Taking taylor expansion of 1/4 in n
16.666 * [backup-simplify]: Simplify 1/4 into 1/4
16.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
16.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.666 * [taylor]: Taking taylor expansion of k in n
16.666 * [backup-simplify]: Simplify k into k
16.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.666 * [taylor]: Taking taylor expansion of 1 in n
16.666 * [backup-simplify]: Simplify 1 into 1
16.666 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.666 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.666 * [taylor]: Taking taylor expansion of -2 in n
16.666 * [backup-simplify]: Simplify -2 into -2
16.666 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.666 * [taylor]: Taking taylor expansion of PI in n
16.666 * [backup-simplify]: Simplify PI into PI
16.666 * [taylor]: Taking taylor expansion of n in n
16.666 * [backup-simplify]: Simplify 0 into 0
16.666 * [backup-simplify]: Simplify 1 into 1
16.667 * [backup-simplify]: Simplify (/ PI 1) into PI
16.667 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.668 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.668 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
16.668 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
16.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.677 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
16.678 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.678 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
16.678 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
16.678 * [taylor]: Taking taylor expansion of 1/4 in k
16.678 * [backup-simplify]: Simplify 1/4 into 1/4
16.678 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
16.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
16.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.679 * [taylor]: Taking taylor expansion of k in k
16.679 * [backup-simplify]: Simplify 0 into 0
16.679 * [backup-simplify]: Simplify 1 into 1
16.679 * [backup-simplify]: Simplify (/ 1 1) into 1
16.679 * [taylor]: Taking taylor expansion of 1 in k
16.679 * [backup-simplify]: Simplify 1 into 1
16.679 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
16.679 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
16.679 * [taylor]: Taking taylor expansion of (* -2 PI) in k
16.679 * [taylor]: Taking taylor expansion of -2 in k
16.679 * [backup-simplify]: Simplify -2 into -2
16.679 * [taylor]: Taking taylor expansion of PI in k
16.679 * [backup-simplify]: Simplify PI into PI
16.680 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.681 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.681 * [taylor]: Taking taylor expansion of (log n) in k
16.681 * [taylor]: Taking taylor expansion of n in k
16.681 * [backup-simplify]: Simplify n into n
16.681 * [backup-simplify]: Simplify (log n) into (log n)
16.681 * [backup-simplify]: Simplify (+ 1 0) into 1
16.681 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.682 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
16.683 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
16.684 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
16.685 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.687 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.688 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
16.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
16.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.691 * [backup-simplify]: Simplify (+ 0 0) into 0
16.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
16.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.694 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
16.695 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.695 * [taylor]: Taking taylor expansion of 0 in k
16.695 * [backup-simplify]: Simplify 0 into 0
16.695 * [backup-simplify]: Simplify 0 into 0
16.696 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.698 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
16.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
16.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.702 * [backup-simplify]: Simplify (+ 0 0) into 0
16.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
16.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.706 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
16.709 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.709 * [taylor]: Taking taylor expansion of 0 in k
16.709 * [backup-simplify]: Simplify 0 into 0
16.709 * [backup-simplify]: Simplify 0 into 0
16.709 * [backup-simplify]: Simplify 0 into 0
16.709 * [backup-simplify]: Simplify 0 into 0
16.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.712 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.718 * [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
16.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.718 * [backup-simplify]: Simplify (+ 0 0) into 0
16.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
16.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.723 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
16.725 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.726 * [taylor]: Taking taylor expansion of 0 in k
16.726 * [backup-simplify]: Simplify 0 into 0
16.726 * [backup-simplify]: Simplify 0 into 0
16.727 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
16.727 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
16.727 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
16.727 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
16.728 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
16.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
16.728 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
16.728 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
16.728 * [taylor]: Taking taylor expansion of 1/4 in k
16.728 * [backup-simplify]: Simplify 1/4 into 1/4
16.728 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.728 * [taylor]: Taking taylor expansion of 1 in k
16.728 * [backup-simplify]: Simplify 1 into 1
16.728 * [taylor]: Taking taylor expansion of k in k
16.728 * [backup-simplify]: Simplify 0 into 0
16.728 * [backup-simplify]: Simplify 1 into 1
16.728 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
16.728 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
16.728 * [taylor]: Taking taylor expansion of 2 in k
16.728 * [backup-simplify]: Simplify 2 into 2
16.728 * [taylor]: Taking taylor expansion of (* n PI) in k
16.728 * [taylor]: Taking taylor expansion of n in k
16.728 * [backup-simplify]: Simplify n into n
16.728 * [taylor]: Taking taylor expansion of PI in k
16.728 * [backup-simplify]: Simplify PI into PI
16.728 * [backup-simplify]: Simplify (* n PI) into (* n PI)
16.728 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
16.728 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
16.729 * [backup-simplify]: Simplify (- 0) into 0
16.729 * [backup-simplify]: Simplify (+ 1 0) into 1
16.730 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
16.730 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
16.730 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
16.730 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.730 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.730 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.730 * [taylor]: Taking taylor expansion of 1/4 in n
16.730 * [backup-simplify]: Simplify 1/4 into 1/4
16.730 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.730 * [taylor]: Taking taylor expansion of 1 in n
16.730 * [backup-simplify]: Simplify 1 into 1
16.730 * [taylor]: Taking taylor expansion of k in n
16.730 * [backup-simplify]: Simplify k into k
16.730 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.730 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.730 * [taylor]: Taking taylor expansion of 2 in n
16.730 * [backup-simplify]: Simplify 2 into 2
16.730 * [taylor]: Taking taylor expansion of (* n PI) in n
16.730 * [taylor]: Taking taylor expansion of n in n
16.730 * [backup-simplify]: Simplify 0 into 0
16.730 * [backup-simplify]: Simplify 1 into 1
16.730 * [taylor]: Taking taylor expansion of PI in n
16.731 * [backup-simplify]: Simplify PI into PI
16.731 * [backup-simplify]: Simplify (* 0 PI) into 0
16.731 * [backup-simplify]: Simplify (* 2 0) into 0
16.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.734 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.735 * [backup-simplify]: Simplify (- k) into (- k)
16.736 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.736 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.738 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.739 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.739 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.739 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.739 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.739 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.739 * [taylor]: Taking taylor expansion of 1/4 in n
16.739 * [backup-simplify]: Simplify 1/4 into 1/4
16.739 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.739 * [taylor]: Taking taylor expansion of 1 in n
16.739 * [backup-simplify]: Simplify 1 into 1
16.739 * [taylor]: Taking taylor expansion of k in n
16.739 * [backup-simplify]: Simplify k into k
16.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.740 * [taylor]: Taking taylor expansion of 2 in n
16.740 * [backup-simplify]: Simplify 2 into 2
16.740 * [taylor]: Taking taylor expansion of (* n PI) in n
16.740 * [taylor]: Taking taylor expansion of n in n
16.740 * [backup-simplify]: Simplify 0 into 0
16.740 * [backup-simplify]: Simplify 1 into 1
16.740 * [taylor]: Taking taylor expansion of PI in n
16.740 * [backup-simplify]: Simplify PI into PI
16.740 * [backup-simplify]: Simplify (* 0 PI) into 0
16.741 * [backup-simplify]: Simplify (* 2 0) into 0
16.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.744 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.745 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.745 * [backup-simplify]: Simplify (- k) into (- k)
16.745 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.745 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.747 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.748 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.748 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
16.748 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
16.749 * [taylor]: Taking taylor expansion of 1/4 in k
16.749 * [backup-simplify]: Simplify 1/4 into 1/4
16.749 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
16.749 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.749 * [taylor]: Taking taylor expansion of 1 in k
16.749 * [backup-simplify]: Simplify 1 into 1
16.749 * [taylor]: Taking taylor expansion of k in k
16.749 * [backup-simplify]: Simplify 0 into 0
16.749 * [backup-simplify]: Simplify 1 into 1
16.749 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
16.749 * [taylor]: Taking taylor expansion of (log n) in k
16.749 * [taylor]: Taking taylor expansion of n in k
16.749 * [backup-simplify]: Simplify n into n
16.749 * [backup-simplify]: Simplify (log n) into (log n)
16.749 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.749 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.749 * [taylor]: Taking taylor expansion of 2 in k
16.749 * [backup-simplify]: Simplify 2 into 2
16.749 * [taylor]: Taking taylor expansion of PI in k
16.749 * [backup-simplify]: Simplify PI into PI
16.749 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.750 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.751 * [backup-simplify]: Simplify (- 0) into 0
16.751 * [backup-simplify]: Simplify (+ 1 0) into 1
16.752 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.753 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
16.754 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
16.755 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.757 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.761 * [backup-simplify]: Simplify (- 0) into 0
16.761 * [backup-simplify]: Simplify (+ 0 0) into 0
16.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
16.763 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.764 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
16.766 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.766 * [taylor]: Taking taylor expansion of 0 in k
16.766 * [backup-simplify]: Simplify 0 into 0
16.766 * [backup-simplify]: Simplify 0 into 0
16.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.770 * [backup-simplify]: Simplify (+ 0 0) into 0
16.771 * [backup-simplify]: Simplify (- 1) into -1
16.771 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.773 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
16.775 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
16.778 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
16.781 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
16.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.787 * [backup-simplify]: Simplify (- 0) into 0
16.787 * [backup-simplify]: Simplify (+ 0 0) into 0
16.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
16.790 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.791 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.793 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.793 * [taylor]: Taking taylor expansion of 0 in k
16.793 * [backup-simplify]: Simplify 0 into 0
16.793 * [backup-simplify]: Simplify 0 into 0
16.793 * [backup-simplify]: Simplify 0 into 0
16.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.800 * [backup-simplify]: Simplify (+ 0 0) into 0
16.800 * [backup-simplify]: Simplify (- 0) into 0
16.801 * [backup-simplify]: Simplify (+ 0 0) into 0
16.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.808 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
16.811 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
16.821 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
16.822 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
16.822 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
16.822 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
16.822 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
16.822 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
16.822 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
16.822 * [taylor]: Taking taylor expansion of 1/4 in k
16.822 * [backup-simplify]: Simplify 1/4 into 1/4
16.822 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
16.822 * [taylor]: Taking taylor expansion of 1 in k
16.822 * [backup-simplify]: Simplify 1 into 1
16.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.822 * [taylor]: Taking taylor expansion of k in k
16.822 * [backup-simplify]: Simplify 0 into 0
16.822 * [backup-simplify]: Simplify 1 into 1
16.822 * [backup-simplify]: Simplify (/ 1 1) into 1
16.822 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
16.822 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
16.822 * [taylor]: Taking taylor expansion of 2 in k
16.822 * [backup-simplify]: Simplify 2 into 2
16.822 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.822 * [taylor]: Taking taylor expansion of PI in k
16.822 * [backup-simplify]: Simplify PI into PI
16.823 * [taylor]: Taking taylor expansion of n in k
16.823 * [backup-simplify]: Simplify n into n
16.823 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.823 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
16.823 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
16.823 * [backup-simplify]: Simplify (- 1) into -1
16.823 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.823 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
16.824 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
16.824 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
16.824 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
16.824 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.824 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.824 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
16.824 * [taylor]: Taking taylor expansion of 1/4 in n
16.824 * [backup-simplify]: Simplify 1/4 into 1/4
16.824 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
16.824 * [taylor]: Taking taylor expansion of 1 in n
16.824 * [backup-simplify]: Simplify 1 into 1
16.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.824 * [taylor]: Taking taylor expansion of k in n
16.824 * [backup-simplify]: Simplify k into k
16.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.824 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.824 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.824 * [taylor]: Taking taylor expansion of 2 in n
16.824 * [backup-simplify]: Simplify 2 into 2
16.824 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.824 * [taylor]: Taking taylor expansion of PI in n
16.824 * [backup-simplify]: Simplify PI into PI
16.824 * [taylor]: Taking taylor expansion of n in n
16.824 * [backup-simplify]: Simplify 0 into 0
16.824 * [backup-simplify]: Simplify 1 into 1
16.824 * [backup-simplify]: Simplify (/ PI 1) into PI
16.825 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.825 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.825 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.825 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
16.825 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
16.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.827 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
16.828 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.828 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
16.828 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.828 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.828 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
16.828 * [taylor]: Taking taylor expansion of 1/4 in n
16.828 * [backup-simplify]: Simplify 1/4 into 1/4
16.828 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
16.828 * [taylor]: Taking taylor expansion of 1 in n
16.828 * [backup-simplify]: Simplify 1 into 1
16.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.828 * [taylor]: Taking taylor expansion of k in n
16.828 * [backup-simplify]: Simplify k into k
16.828 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.828 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.828 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.828 * [taylor]: Taking taylor expansion of 2 in n
16.828 * [backup-simplify]: Simplify 2 into 2
16.828 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.828 * [taylor]: Taking taylor expansion of PI in n
16.828 * [backup-simplify]: Simplify PI into PI
16.828 * [taylor]: Taking taylor expansion of n in n
16.828 * [backup-simplify]: Simplify 0 into 0
16.828 * [backup-simplify]: Simplify 1 into 1
16.828 * [backup-simplify]: Simplify (/ PI 1) into PI
16.829 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.829 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.829 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.829 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
16.829 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
16.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.831 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
16.832 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.832 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
16.832 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
16.832 * [taylor]: Taking taylor expansion of 1/4 in k
16.832 * [backup-simplify]: Simplify 1/4 into 1/4
16.832 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
16.832 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
16.832 * [taylor]: Taking taylor expansion of 1 in k
16.832 * [backup-simplify]: Simplify 1 into 1
16.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.832 * [taylor]: Taking taylor expansion of k in k
16.832 * [backup-simplify]: Simplify 0 into 0
16.832 * [backup-simplify]: Simplify 1 into 1
16.832 * [backup-simplify]: Simplify (/ 1 1) into 1
16.832 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
16.832 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.832 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.832 * [taylor]: Taking taylor expansion of 2 in k
16.832 * [backup-simplify]: Simplify 2 into 2
16.832 * [taylor]: Taking taylor expansion of PI in k
16.832 * [backup-simplify]: Simplify PI into PI
16.832 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.833 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.833 * [taylor]: Taking taylor expansion of (log n) in k
16.833 * [taylor]: Taking taylor expansion of n in k
16.833 * [backup-simplify]: Simplify n into n
16.833 * [backup-simplify]: Simplify (log n) into (log n)
16.833 * [backup-simplify]: Simplify (- 1) into -1
16.834 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.834 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.834 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
16.835 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
16.836 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
16.836 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.837 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
16.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.838 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.839 * [backup-simplify]: Simplify (- 0) into 0
16.839 * [backup-simplify]: Simplify (+ 0 0) into 0
16.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
16.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.841 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
16.842 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.842 * [taylor]: Taking taylor expansion of 0 in k
16.843 * [backup-simplify]: Simplify 0 into 0
16.843 * [backup-simplify]: Simplify 0 into 0
16.843 * [backup-simplify]: Simplify 0 into 0
16.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.848 * [backup-simplify]: Simplify (- 0) into 0
16.849 * [backup-simplify]: Simplify (+ 0 0) into 0
16.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
16.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.852 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
16.855 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.855 * [taylor]: Taking taylor expansion of 0 in k
16.855 * [backup-simplify]: Simplify 0 into 0
16.855 * [backup-simplify]: Simplify 0 into 0
16.855 * [backup-simplify]: Simplify 0 into 0
16.855 * [backup-simplify]: Simplify 0 into 0
16.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.863 * [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
16.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.864 * [backup-simplify]: Simplify (- 0) into 0
16.864 * [backup-simplify]: Simplify (+ 0 0) into 0
16.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
16.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.869 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
16.872 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.872 * [taylor]: Taking taylor expansion of 0 in k
16.872 * [backup-simplify]: Simplify 0 into 0
16.872 * [backup-simplify]: Simplify 0 into 0
16.872 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
16.873 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
16.873 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
16.873 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
16.873 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
16.873 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
16.873 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
16.873 * [taylor]: Taking taylor expansion of 1/4 in k
16.873 * [backup-simplify]: Simplify 1/4 into 1/4
16.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
16.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.873 * [taylor]: Taking taylor expansion of k in k
16.873 * [backup-simplify]: Simplify 0 into 0
16.873 * [backup-simplify]: Simplify 1 into 1
16.873 * [backup-simplify]: Simplify (/ 1 1) into 1
16.873 * [taylor]: Taking taylor expansion of 1 in k
16.873 * [backup-simplify]: Simplify 1 into 1
16.873 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
16.873 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
16.873 * [taylor]: Taking taylor expansion of -2 in k
16.873 * [backup-simplify]: Simplify -2 into -2
16.873 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.873 * [taylor]: Taking taylor expansion of PI in k
16.873 * [backup-simplify]: Simplify PI into PI
16.874 * [taylor]: Taking taylor expansion of n in k
16.874 * [backup-simplify]: Simplify n into n
16.874 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.874 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
16.874 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
16.874 * [backup-simplify]: Simplify (+ 1 0) into 1
16.874 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
16.874 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
16.874 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
16.874 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
16.874 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
16.874 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
16.874 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
16.874 * [taylor]: Taking taylor expansion of 1/4 in n
16.874 * [backup-simplify]: Simplify 1/4 into 1/4
16.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
16.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.875 * [taylor]: Taking taylor expansion of k in n
16.875 * [backup-simplify]: Simplify k into k
16.875 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.875 * [taylor]: Taking taylor expansion of 1 in n
16.875 * [backup-simplify]: Simplify 1 into 1
16.875 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.875 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.875 * [taylor]: Taking taylor expansion of -2 in n
16.875 * [backup-simplify]: Simplify -2 into -2
16.875 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.875 * [taylor]: Taking taylor expansion of PI in n
16.875 * [backup-simplify]: Simplify PI into PI
16.875 * [taylor]: Taking taylor expansion of n in n
16.875 * [backup-simplify]: Simplify 0 into 0
16.875 * [backup-simplify]: Simplify 1 into 1
16.875 * [backup-simplify]: Simplify (/ PI 1) into PI
16.875 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.876 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.876 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
16.876 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
16.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.878 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
16.878 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.878 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
16.878 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
16.878 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
16.878 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
16.878 * [taylor]: Taking taylor expansion of 1/4 in n
16.878 * [backup-simplify]: Simplify 1/4 into 1/4
16.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
16.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.878 * [taylor]: Taking taylor expansion of k in n
16.878 * [backup-simplify]: Simplify k into k
16.878 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.879 * [taylor]: Taking taylor expansion of 1 in n
16.879 * [backup-simplify]: Simplify 1 into 1
16.879 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.879 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.879 * [taylor]: Taking taylor expansion of -2 in n
16.879 * [backup-simplify]: Simplify -2 into -2
16.879 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.879 * [taylor]: Taking taylor expansion of PI in n
16.879 * [backup-simplify]: Simplify PI into PI
16.879 * [taylor]: Taking taylor expansion of n in n
16.879 * [backup-simplify]: Simplify 0 into 0
16.879 * [backup-simplify]: Simplify 1 into 1
16.879 * [backup-simplify]: Simplify (/ PI 1) into PI
16.879 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.880 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.880 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
16.880 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
16.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.881 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
16.882 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.882 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
16.882 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
16.882 * [taylor]: Taking taylor expansion of 1/4 in k
16.882 * [backup-simplify]: Simplify 1/4 into 1/4
16.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
16.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
16.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.882 * [taylor]: Taking taylor expansion of k in k
16.882 * [backup-simplify]: Simplify 0 into 0
16.882 * [backup-simplify]: Simplify 1 into 1
16.883 * [backup-simplify]: Simplify (/ 1 1) into 1
16.883 * [taylor]: Taking taylor expansion of 1 in k
16.883 * [backup-simplify]: Simplify 1 into 1
16.883 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
16.883 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
16.883 * [taylor]: Taking taylor expansion of (* -2 PI) in k
16.883 * [taylor]: Taking taylor expansion of -2 in k
16.883 * [backup-simplify]: Simplify -2 into -2
16.883 * [taylor]: Taking taylor expansion of PI in k
16.883 * [backup-simplify]: Simplify PI into PI
16.883 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.884 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.884 * [taylor]: Taking taylor expansion of (log n) in k
16.884 * [taylor]: Taking taylor expansion of n in k
16.884 * [backup-simplify]: Simplify n into n
16.884 * [backup-simplify]: Simplify (log n) into (log n)
16.884 * [backup-simplify]: Simplify (+ 1 0) into 1
16.884 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.885 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
16.885 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
16.886 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
16.887 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.887 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
16.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.888 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
16.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
16.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.890 * [backup-simplify]: Simplify (+ 0 0) into 0
16.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
16.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.892 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
16.893 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.893 * [taylor]: Taking taylor expansion of 0 in k
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.894 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
16.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
16.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.896 * [backup-simplify]: Simplify (+ 0 0) into 0
16.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
16.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.899 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
16.900 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.900 * [taylor]: Taking taylor expansion of 0 in k
16.900 * [backup-simplify]: Simplify 0 into 0
16.900 * [backup-simplify]: Simplify 0 into 0
16.900 * [backup-simplify]: Simplify 0 into 0
16.900 * [backup-simplify]: Simplify 0 into 0
16.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.901 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.905 * [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
16.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.906 * [backup-simplify]: Simplify (+ 0 0) into 0
16.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
16.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.911 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
16.914 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.914 * [taylor]: Taking taylor expansion of 0 in k
16.914 * [backup-simplify]: Simplify 0 into 0
16.914 * [backup-simplify]: Simplify 0 into 0
16.915 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
16.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
16.916 * [backup-simplify]: Simplify (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2)
16.916 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in (n k) around 0
16.916 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in k
16.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
16.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
16.916 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
16.916 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
16.917 * [taylor]: Taking taylor expansion of 1/4 in k
16.917 * [backup-simplify]: Simplify 1/4 into 1/4
16.917 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.917 * [taylor]: Taking taylor expansion of 1 in k
16.917 * [backup-simplify]: Simplify 1 into 1
16.917 * [taylor]: Taking taylor expansion of k in k
16.917 * [backup-simplify]: Simplify 0 into 0
16.917 * [backup-simplify]: Simplify 1 into 1
16.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
16.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
16.917 * [taylor]: Taking taylor expansion of 2 in k
16.917 * [backup-simplify]: Simplify 2 into 2
16.917 * [taylor]: Taking taylor expansion of (* n PI) in k
16.917 * [taylor]: Taking taylor expansion of n in k
16.917 * [backup-simplify]: Simplify n into n
16.917 * [taylor]: Taking taylor expansion of PI in k
16.917 * [backup-simplify]: Simplify PI into PI
16.917 * [backup-simplify]: Simplify (* n PI) into (* n PI)
16.917 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
16.917 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
16.917 * [backup-simplify]: Simplify (- 0) into 0
16.918 * [backup-simplify]: Simplify (+ 1 0) into 1
16.925 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
16.925 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
16.925 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
16.925 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n
16.925 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.925 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.925 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.925 * [taylor]: Taking taylor expansion of 1/4 in n
16.925 * [backup-simplify]: Simplify 1/4 into 1/4
16.925 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.925 * [taylor]: Taking taylor expansion of 1 in n
16.925 * [backup-simplify]: Simplify 1 into 1
16.925 * [taylor]: Taking taylor expansion of k in n
16.925 * [backup-simplify]: Simplify k into k
16.925 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.925 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.925 * [taylor]: Taking taylor expansion of 2 in n
16.925 * [backup-simplify]: Simplify 2 into 2
16.925 * [taylor]: Taking taylor expansion of (* n PI) in n
16.925 * [taylor]: Taking taylor expansion of n in n
16.925 * [backup-simplify]: Simplify 0 into 0
16.925 * [backup-simplify]: Simplify 1 into 1
16.925 * [taylor]: Taking taylor expansion of PI in n
16.925 * [backup-simplify]: Simplify PI into PI
16.926 * [backup-simplify]: Simplify (* 0 PI) into 0
16.927 * [backup-simplify]: Simplify (* 2 0) into 0
16.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.930 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.931 * [backup-simplify]: Simplify (- k) into (- k)
16.931 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.931 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.933 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.935 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.935 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 2) in n
16.935 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
16.935 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
16.935 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
16.935 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
16.935 * [taylor]: Taking taylor expansion of 1/4 in n
16.935 * [backup-simplify]: Simplify 1/4 into 1/4
16.935 * [taylor]: Taking taylor expansion of (- 1 k) in n
16.935 * [taylor]: Taking taylor expansion of 1 in n
16.935 * [backup-simplify]: Simplify 1 into 1
16.935 * [taylor]: Taking taylor expansion of k in n
16.935 * [backup-simplify]: Simplify k into k
16.935 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.935 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.935 * [taylor]: Taking taylor expansion of 2 in n
16.935 * [backup-simplify]: Simplify 2 into 2
16.935 * [taylor]: Taking taylor expansion of (* n PI) in n
16.935 * [taylor]: Taking taylor expansion of n in n
16.935 * [backup-simplify]: Simplify 0 into 0
16.935 * [backup-simplify]: Simplify 1 into 1
16.935 * [taylor]: Taking taylor expansion of PI in n
16.935 * [backup-simplify]: Simplify PI into PI
16.936 * [backup-simplify]: Simplify (* 0 PI) into 0
16.936 * [backup-simplify]: Simplify (* 2 0) into 0
16.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.939 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.940 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.940 * [backup-simplify]: Simplify (- k) into (- k)
16.940 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
16.940 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
16.942 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.943 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
16.944 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
16.946 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2)
16.946 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k
16.946 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
16.946 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
16.946 * [taylor]: Taking taylor expansion of 1/4 in k
16.946 * [backup-simplify]: Simplify 1/4 into 1/4
16.946 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
16.946 * [taylor]: Taking taylor expansion of (- 1 k) in k
16.946 * [taylor]: Taking taylor expansion of 1 in k
16.946 * [backup-simplify]: Simplify 1 into 1
16.946 * [taylor]: Taking taylor expansion of k in k
16.946 * [backup-simplify]: Simplify 0 into 0
16.947 * [backup-simplify]: Simplify 1 into 1
16.947 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
16.947 * [taylor]: Taking taylor expansion of (log n) in k
16.947 * [taylor]: Taking taylor expansion of n in k
16.947 * [backup-simplify]: Simplify n into n
16.947 * [backup-simplify]: Simplify (log n) into (log n)
16.947 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.947 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.947 * [taylor]: Taking taylor expansion of 2 in k
16.947 * [backup-simplify]: Simplify 2 into 2
16.947 * [taylor]: Taking taylor expansion of PI in k
16.947 * [backup-simplify]: Simplify PI into PI
16.947 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.949 * [backup-simplify]: Simplify (- 0) into 0
16.949 * [backup-simplify]: Simplify (+ 1 0) into 1
16.950 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.951 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
16.952 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
16.953 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
16.955 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)
16.956 * [backup-simplify]: Simplify (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)
16.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.961 * [backup-simplify]: Simplify (- 0) into 0
16.961 * [backup-simplify]: Simplify (+ 0 0) into 0
16.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
16.963 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.964 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
16.966 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.968 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0
16.968 * [taylor]: Taking taylor expansion of 0 in k
16.968 * [backup-simplify]: Simplify 0 into 0
16.969 * [backup-simplify]: Simplify 0 into 0
16.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.973 * [backup-simplify]: Simplify (+ 0 0) into 0
16.973 * [backup-simplify]: Simplify (- 1) into -1
16.973 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.975 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
16.977 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
16.980 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
16.988 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))
16.992 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) into (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI))))))
16.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.998 * [backup-simplify]: Simplify (- 0) into 0
16.998 * [backup-simplify]: Simplify (+ 0 0) into 0
16.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
17.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.002 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.005 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.007 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0
17.007 * [taylor]: Taking taylor expansion of 0 in k
17.007 * [backup-simplify]: Simplify 0 into 0
17.007 * [backup-simplify]: Simplify 0 into 0
17.007 * [backup-simplify]: Simplify 0 into 0
17.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.010 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.014 * [backup-simplify]: Simplify (+ 0 0) into 0
17.015 * [backup-simplify]: Simplify (- 0) into 0
17.015 * [backup-simplify]: Simplify (+ 0 0) into 0
17.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.024 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
17.039 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))))
17.043 * [backup-simplify]: Simplify (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) into (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))))
17.050 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))) (+ (* 1/4 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log n))) (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))))) (* k 1)) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k)))))
17.056 * [backup-simplify]: Simplify (* (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (* (* 2 PI) (/ 1 n)) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2)
17.056 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in (n k) around 0
17.056 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in k
17.056 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
17.056 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.056 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.056 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
17.056 * [taylor]: Taking taylor expansion of 1/4 in k
17.056 * [backup-simplify]: Simplify 1/4 into 1/4
17.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.056 * [taylor]: Taking taylor expansion of 1 in k
17.056 * [backup-simplify]: Simplify 1 into 1
17.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.056 * [taylor]: Taking taylor expansion of k in k
17.056 * [backup-simplify]: Simplify 0 into 0
17.056 * [backup-simplify]: Simplify 1 into 1
17.057 * [backup-simplify]: Simplify (/ 1 1) into 1
17.057 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.057 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.057 * [taylor]: Taking taylor expansion of 2 in k
17.057 * [backup-simplify]: Simplify 2 into 2
17.057 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.057 * [taylor]: Taking taylor expansion of PI in k
17.057 * [backup-simplify]: Simplify PI into PI
17.057 * [taylor]: Taking taylor expansion of n in k
17.057 * [backup-simplify]: Simplify n into n
17.057 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.057 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.057 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.057 * [backup-simplify]: Simplify (- 1) into -1
17.058 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.058 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
17.058 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
17.058 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
17.058 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n
17.058 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
17.058 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.058 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.058 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
17.058 * [taylor]: Taking taylor expansion of 1/4 in n
17.058 * [backup-simplify]: Simplify 1/4 into 1/4
17.058 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.058 * [taylor]: Taking taylor expansion of 1 in n
17.058 * [backup-simplify]: Simplify 1 into 1
17.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.058 * [taylor]: Taking taylor expansion of k in n
17.058 * [backup-simplify]: Simplify k into k
17.058 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.058 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.058 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.058 * [taylor]: Taking taylor expansion of 2 in n
17.058 * [backup-simplify]: Simplify 2 into 2
17.058 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.058 * [taylor]: Taking taylor expansion of PI in n
17.058 * [backup-simplify]: Simplify PI into PI
17.058 * [taylor]: Taking taylor expansion of n in n
17.058 * [backup-simplify]: Simplify 0 into 0
17.058 * [backup-simplify]: Simplify 1 into 1
17.059 * [backup-simplify]: Simplify (/ PI 1) into PI
17.059 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.060 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.060 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.060 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.060 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
17.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.061 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.062 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.062 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 2) in n
17.062 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
17.062 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.062 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.062 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
17.062 * [taylor]: Taking taylor expansion of 1/4 in n
17.062 * [backup-simplify]: Simplify 1/4 into 1/4
17.062 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
17.062 * [taylor]: Taking taylor expansion of 1 in n
17.062 * [backup-simplify]: Simplify 1 into 1
17.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.062 * [taylor]: Taking taylor expansion of k in n
17.062 * [backup-simplify]: Simplify k into k
17.062 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.062 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.062 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.062 * [taylor]: Taking taylor expansion of 2 in n
17.062 * [backup-simplify]: Simplify 2 into 2
17.062 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.062 * [taylor]: Taking taylor expansion of PI in n
17.062 * [backup-simplify]: Simplify PI into PI
17.062 * [taylor]: Taking taylor expansion of n in n
17.062 * [backup-simplify]: Simplify 0 into 0
17.062 * [backup-simplify]: Simplify 1 into 1
17.063 * [backup-simplify]: Simplify (/ PI 1) into PI
17.063 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.064 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.064 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
17.064 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
17.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.065 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
17.066 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.067 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
17.067 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k
17.067 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
17.067 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
17.068 * [taylor]: Taking taylor expansion of 1/4 in k
17.068 * [backup-simplify]: Simplify 1/4 into 1/4
17.068 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
17.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
17.068 * [taylor]: Taking taylor expansion of 1 in k
17.068 * [backup-simplify]: Simplify 1 into 1
17.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.068 * [taylor]: Taking taylor expansion of k in k
17.068 * [backup-simplify]: Simplify 0 into 0
17.068 * [backup-simplify]: Simplify 1 into 1
17.068 * [backup-simplify]: Simplify (/ 1 1) into 1
17.068 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.068 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.068 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.068 * [taylor]: Taking taylor expansion of 2 in k
17.068 * [backup-simplify]: Simplify 2 into 2
17.068 * [taylor]: Taking taylor expansion of PI in k
17.068 * [backup-simplify]: Simplify PI into PI
17.068 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.069 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.069 * [taylor]: Taking taylor expansion of (log n) in k
17.069 * [taylor]: Taking taylor expansion of n in k
17.069 * [backup-simplify]: Simplify n into n
17.069 * [backup-simplify]: Simplify (log n) into (log n)
17.069 * [backup-simplify]: Simplify (- 1) into -1
17.069 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.070 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.070 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.071 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
17.071 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
17.072 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
17.073 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
17.074 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
17.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.075 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.076 * [backup-simplify]: Simplify (- 0) into 0
17.077 * [backup-simplify]: Simplify (+ 0 0) into 0
17.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
17.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.079 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.080 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.082 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
17.082 * [taylor]: Taking taylor expansion of 0 in k
17.082 * [backup-simplify]: Simplify 0 into 0
17.082 * [backup-simplify]: Simplify 0 into 0
17.083 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
17.083 * [backup-simplify]: Simplify 0 into 0
17.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.086 * [backup-simplify]: Simplify (- 0) into 0
17.087 * [backup-simplify]: Simplify (+ 0 0) into 0
17.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
17.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.089 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.090 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.092 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
17.092 * [taylor]: Taking taylor expansion of 0 in k
17.092 * [backup-simplify]: Simplify 0 into 0
17.092 * [backup-simplify]: Simplify 0 into 0
17.092 * [backup-simplify]: Simplify 0 into 0
17.094 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
17.094 * [backup-simplify]: Simplify 0 into 0
17.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.098 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
17.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.099 * [backup-simplify]: Simplify (- 0) into 0
17.099 * [backup-simplify]: Simplify (+ 0 0) into 0
17.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
17.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.102 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.104 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.105 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
17.106 * [taylor]: Taking taylor expansion of 0 in k
17.106 * [backup-simplify]: Simplify 0 into 0
17.106 * [backup-simplify]: Simplify 0 into 0
17.106 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
17.107 * [backup-simplify]: Simplify (* (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (* (* 2 PI) (/ 1 (- n))) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2)
17.107 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in (n k) around 0
17.107 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in k
17.107 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
17.107 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
17.107 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
17.107 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
17.107 * [taylor]: Taking taylor expansion of 1/4 in k
17.107 * [backup-simplify]: Simplify 1/4 into 1/4
17.107 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.107 * [taylor]: Taking taylor expansion of k in k
17.107 * [backup-simplify]: Simplify 0 into 0
17.107 * [backup-simplify]: Simplify 1 into 1
17.108 * [backup-simplify]: Simplify (/ 1 1) into 1
17.108 * [taylor]: Taking taylor expansion of 1 in k
17.108 * [backup-simplify]: Simplify 1 into 1
17.108 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.108 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.108 * [taylor]: Taking taylor expansion of -2 in k
17.108 * [backup-simplify]: Simplify -2 into -2
17.108 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.108 * [taylor]: Taking taylor expansion of PI in k
17.108 * [backup-simplify]: Simplify PI into PI
17.108 * [taylor]: Taking taylor expansion of n in k
17.108 * [backup-simplify]: Simplify n into n
17.108 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.108 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.108 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.108 * [backup-simplify]: Simplify (+ 1 0) into 1
17.108 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
17.109 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
17.109 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
17.109 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n
17.109 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
17.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.109 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.109 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
17.109 * [taylor]: Taking taylor expansion of 1/4 in n
17.109 * [backup-simplify]: Simplify 1/4 into 1/4
17.109 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.109 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.109 * [taylor]: Taking taylor expansion of k in n
17.109 * [backup-simplify]: Simplify k into k
17.109 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.109 * [taylor]: Taking taylor expansion of 1 in n
17.109 * [backup-simplify]: Simplify 1 into 1
17.109 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.109 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.109 * [taylor]: Taking taylor expansion of -2 in n
17.109 * [backup-simplify]: Simplify -2 into -2
17.109 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.109 * [taylor]: Taking taylor expansion of PI in n
17.109 * [backup-simplify]: Simplify PI into PI
17.109 * [taylor]: Taking taylor expansion of n in n
17.109 * [backup-simplify]: Simplify 0 into 0
17.109 * [backup-simplify]: Simplify 1 into 1
17.109 * [backup-simplify]: Simplify (/ PI 1) into PI
17.110 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.110 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.110 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.110 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
17.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.112 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.113 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.113 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 2) in n
17.113 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
17.113 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
17.113 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
17.113 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
17.113 * [taylor]: Taking taylor expansion of 1/4 in n
17.113 * [backup-simplify]: Simplify 1/4 into 1/4
17.113 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
17.113 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.113 * [taylor]: Taking taylor expansion of k in n
17.113 * [backup-simplify]: Simplify k into k
17.114 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.114 * [taylor]: Taking taylor expansion of 1 in n
17.114 * [backup-simplify]: Simplify 1 into 1
17.114 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.114 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.114 * [taylor]: Taking taylor expansion of -2 in n
17.114 * [backup-simplify]: Simplify -2 into -2
17.114 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.114 * [taylor]: Taking taylor expansion of PI in n
17.114 * [backup-simplify]: Simplify PI into PI
17.114 * [taylor]: Taking taylor expansion of n in n
17.114 * [backup-simplify]: Simplify 0 into 0
17.114 * [backup-simplify]: Simplify 1 into 1
17.114 * [backup-simplify]: Simplify (/ PI 1) into PI
17.115 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.116 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.116 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
17.116 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
17.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.118 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
17.119 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.122 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
17.122 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k
17.122 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
17.122 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
17.122 * [taylor]: Taking taylor expansion of 1/4 in k
17.122 * [backup-simplify]: Simplify 1/4 into 1/4
17.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
17.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
17.122 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.122 * [taylor]: Taking taylor expansion of k in k
17.122 * [backup-simplify]: Simplify 0 into 0
17.122 * [backup-simplify]: Simplify 1 into 1
17.123 * [backup-simplify]: Simplify (/ 1 1) into 1
17.123 * [taylor]: Taking taylor expansion of 1 in k
17.123 * [backup-simplify]: Simplify 1 into 1
17.123 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.123 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.123 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.123 * [taylor]: Taking taylor expansion of -2 in k
17.123 * [backup-simplify]: Simplify -2 into -2
17.123 * [taylor]: Taking taylor expansion of PI in k
17.123 * [backup-simplify]: Simplify PI into PI
17.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.124 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.124 * [taylor]: Taking taylor expansion of (log n) in k
17.124 * [taylor]: Taking taylor expansion of n in k
17.124 * [backup-simplify]: Simplify n into n
17.124 * [backup-simplify]: Simplify (log n) into (log n)
17.125 * [backup-simplify]: Simplify (+ 1 0) into 1
17.125 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.126 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.127 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
17.129 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
17.130 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
17.132 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
17.133 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
17.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.135 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.137 * [backup-simplify]: Simplify (+ 0 0) into 0
17.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
17.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.140 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.142 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.145 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
17.145 * [taylor]: Taking taylor expansion of 0 in k
17.145 * [backup-simplify]: Simplify 0 into 0
17.145 * [backup-simplify]: Simplify 0 into 0
17.147 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
17.147 * [backup-simplify]: Simplify 0 into 0
17.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.149 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
17.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.153 * [backup-simplify]: Simplify (+ 0 0) into 0
17.154 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
17.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.157 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.159 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.168 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
17.169 * [taylor]: Taking taylor expansion of 0 in k
17.169 * [backup-simplify]: Simplify 0 into 0
17.169 * [backup-simplify]: Simplify 0 into 0
17.169 * [backup-simplify]: Simplify 0 into 0
17.171 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
17.172 * [backup-simplify]: Simplify 0 into 0
17.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.174 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.180 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
17.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.181 * [backup-simplify]: Simplify (+ 0 0) into 0
17.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
17.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.186 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.189 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.192 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
17.192 * [taylor]: Taking taylor expansion of 0 in k
17.192 * [backup-simplify]: Simplify 0 into 0
17.192 * [backup-simplify]: Simplify 0 into 0
17.193 * [backup-simplify]: Simplify (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
17.193 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
17.194 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.194 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
17.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.194 * [taylor]: Taking taylor expansion of 2 in n
17.194 * [backup-simplify]: Simplify 2 into 2
17.194 * [taylor]: Taking taylor expansion of (* n PI) in n
17.194 * [taylor]: Taking taylor expansion of n in n
17.194 * [backup-simplify]: Simplify 0 into 0
17.194 * [backup-simplify]: Simplify 1 into 1
17.194 * [taylor]: Taking taylor expansion of PI in n
17.194 * [backup-simplify]: Simplify PI into PI
17.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.194 * [taylor]: Taking taylor expansion of 2 in n
17.194 * [backup-simplify]: Simplify 2 into 2
17.194 * [taylor]: Taking taylor expansion of (* n PI) in n
17.194 * [taylor]: Taking taylor expansion of n in n
17.194 * [backup-simplify]: Simplify 0 into 0
17.194 * [backup-simplify]: Simplify 1 into 1
17.194 * [taylor]: Taking taylor expansion of PI in n
17.194 * [backup-simplify]: Simplify PI into PI
17.195 * [backup-simplify]: Simplify (* 0 PI) into 0
17.195 * [backup-simplify]: Simplify (* 2 0) into 0
17.195 * [backup-simplify]: Simplify 0 into 0
17.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.198 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.199 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.201 * [backup-simplify]: Simplify 0 into 0
17.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.203 * [backup-simplify]: Simplify 0 into 0
17.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.206 * [backup-simplify]: Simplify 0 into 0
17.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.209 * [backup-simplify]: Simplify 0 into 0
17.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.210 * [backup-simplify]: Simplify 0 into 0
17.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.213 * [backup-simplify]: Simplify 0 into 0
17.213 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.213 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
17.213 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
17.213 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.213 * [taylor]: Taking taylor expansion of 2 in n
17.213 * [backup-simplify]: Simplify 2 into 2
17.213 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.213 * [taylor]: Taking taylor expansion of PI in n
17.213 * [backup-simplify]: Simplify PI into PI
17.213 * [taylor]: Taking taylor expansion of n in n
17.213 * [backup-simplify]: Simplify 0 into 0
17.213 * [backup-simplify]: Simplify 1 into 1
17.214 * [backup-simplify]: Simplify (/ PI 1) into PI
17.214 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.214 * [taylor]: Taking taylor expansion of 2 in n
17.214 * [backup-simplify]: Simplify 2 into 2
17.214 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.214 * [taylor]: Taking taylor expansion of PI in n
17.214 * [backup-simplify]: Simplify PI into PI
17.214 * [taylor]: Taking taylor expansion of n in n
17.214 * [backup-simplify]: Simplify 0 into 0
17.214 * [backup-simplify]: Simplify 1 into 1
17.214 * [backup-simplify]: Simplify (/ PI 1) into PI
17.214 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.215 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.216 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.216 * [backup-simplify]: Simplify 0 into 0
17.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.217 * [backup-simplify]: Simplify 0 into 0
17.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.218 * [backup-simplify]: Simplify 0 into 0
17.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.220 * [backup-simplify]: Simplify 0 into 0
17.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.221 * [backup-simplify]: Simplify 0 into 0
17.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.223 * [backup-simplify]: Simplify 0 into 0
17.223 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
17.223 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
17.223 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
17.223 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.223 * [taylor]: Taking taylor expansion of -2 in n
17.223 * [backup-simplify]: Simplify -2 into -2
17.223 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.223 * [taylor]: Taking taylor expansion of PI in n
17.223 * [backup-simplify]: Simplify PI into PI
17.224 * [taylor]: Taking taylor expansion of n in n
17.224 * [backup-simplify]: Simplify 0 into 0
17.224 * [backup-simplify]: Simplify 1 into 1
17.224 * [backup-simplify]: Simplify (/ PI 1) into PI
17.224 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.224 * [taylor]: Taking taylor expansion of -2 in n
17.224 * [backup-simplify]: Simplify -2 into -2
17.224 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.224 * [taylor]: Taking taylor expansion of PI in n
17.224 * [backup-simplify]: Simplify PI into PI
17.224 * [taylor]: Taking taylor expansion of n in n
17.224 * [backup-simplify]: Simplify 0 into 0
17.224 * [backup-simplify]: Simplify 1 into 1
17.224 * [backup-simplify]: Simplify (/ PI 1) into PI
17.225 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.225 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.226 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.226 * [backup-simplify]: Simplify 0 into 0
17.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.227 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.227 * [backup-simplify]: Simplify 0 into 0
17.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.228 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.228 * [backup-simplify]: Simplify 0 into 0
17.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.230 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.230 * [backup-simplify]: Simplify 0 into 0
17.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.231 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.231 * [backup-simplify]: Simplify 0 into 0
17.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.233 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.233 * [backup-simplify]: Simplify 0 into 0
17.233 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
17.233 * * * [progress]: simplifying candidates
17.233 * * * * [progress]: [ 1 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.233 * * * * [progress]: [ 2 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.233 * * * * [progress]: [ 3 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 4 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 5 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 6 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 7 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 8 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 9 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 10 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ k 2) 2))))))>
17.234 * * * * [progress]: [ 11 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 12 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))>
17.234 * * * * [progress]: [ 13 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))))>
17.234 * * * * [progress]: [ 14 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))))>
17.234 * * * * [progress]: [ 15 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))))>
17.234 * * * * [progress]: [ 16 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))))>
17.234 * * * * [progress]: [ 17 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))))>
17.234 * * * * [progress]: [ 18 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))))>
17.234 * * * * [progress]: [ 19 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
17.234 * * * * [progress]: [ 20 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
17.234 * * * * [progress]: [ 21 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)))))>
17.234 * * * * [progress]: [ 22 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
17.234 * * * * [progress]: [ 23 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
17.234 * * * * [progress]: [ 24 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)))))>
17.235 * * * * [progress]: [ 25 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))))))>
17.235 * * * * [progress]: [ 26 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))))))>
17.235 * * * * [progress]: [ 27 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)))))>
17.235 * * * * [progress]: [ 28 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
17.235 * * * * [progress]: [ 29 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
17.235 * * * * [progress]: [ 30 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)))))>
17.235 * * * * [progress]: [ 31 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
17.235 * * * * [progress]: [ 32 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
17.235 * * * * [progress]: [ 33 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)))))>
17.235 * * * * [progress]: [ 34 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))))))>
17.235 * * * * [progress]: [ 35 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))))))>
17.235 * * * * [progress]: [ 36 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)))))>
17.235 * * * * [progress]: [ 37 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
17.235 * * * * [progress]: [ 38 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
17.235 * * * * [progress]: [ 39 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
17.235 * * * * [progress]: [ 40 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
17.235 * * * * [progress]: [ 41 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
17.235 * * * * [progress]: [ 42 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
17.235 * * * * [progress]: [ 43 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
17.235 * * * * [progress]: [ 44 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
17.235 * * * * [progress]: [ 45 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
17.235 * * * * [progress]: [ 46 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))))))>
17.236 * * * * [progress]: [ 47 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))))))>
17.236 * * * * [progress]: [ 48 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)))))>
17.236 * * * * [progress]: [ 49 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))))))>
17.236 * * * * [progress]: [ 50 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))))))>
17.236 * * * * [progress]: [ 51 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)))))>
17.236 * * * * [progress]: [ 52 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))))))>
17.236 * * * * [progress]: [ 53 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))))))>
17.236 * * * * [progress]: [ 54 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)))))>
17.236 * * * * [progress]: [ 55 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))))))>
17.236 * * * * [progress]: [ 56 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))))))>
17.236 * * * * [progress]: [ 57 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)))))>
17.236 * * * * [progress]: [ 58 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))))))>
17.236 * * * * [progress]: [ 59 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))))))>
17.236 * * * * [progress]: [ 60 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)))))>
17.236 * * * * [progress]: [ 61 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))))))>
17.236 * * * * [progress]: [ 62 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))))))>
17.236 * * * * [progress]: [ 63 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))>
17.236 * * * * [progress]: [ 64 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
17.236 * * * * [progress]: [ 65 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
17.236 * * * * [progress]: [ 66 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
17.237 * * * * [progress]: [ 67 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
17.237 * * * * [progress]: [ 68 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
17.237 * * * * [progress]: [ 69 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
17.237 * * * * [progress]: [ 70 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
17.237 * * * * [progress]: [ 71 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
17.237 * * * * [progress]: [ 72 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
17.237 * * * * [progress]: [ 73 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
17.237 * * * * [progress]: [ 74 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
17.237 * * * * [progress]: [ 75 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (/ (- 1 k) 2) 2)))))>
17.237 * * * * [progress]: [ 76 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))))))>
17.237 * * * * [progress]: [ 77 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))))))>
17.237 * * * * [progress]: [ 78 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) (/ (/ 1 2) 2)))))>
17.237 * * * * [progress]: [ 79 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))))>
17.237 * * * * [progress]: [ 80 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 2)))))>
17.237 * * * * [progress]: [ 81 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))))))>
17.237 * * * * [progress]: [ 82 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1))))>
17.237 * * * * [progress]: [ 83 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.237 * * * * [progress]: [ 84 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (log (exp (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.237 * * * * [progress]: [ 85 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.237 * * * * [progress]: [ 86 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.237 * * * * [progress]: [ 87 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.237 * * * * [progress]: [ 88 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* 1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.237 * * * * [progress]: [ 89 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
17.237 * * * * [progress]: [ 90 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.238 * * * * [progress]: [ 91 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (log1p (expm1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 92 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (expm1 (log1p (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 93 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 94 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 95 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 96 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 97 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 98 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 99 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 100 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (/ (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ k 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 101 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 102 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 103 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 104 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 105 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 106 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 107 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 108 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 109 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 110 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 111 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 112 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 113 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.238 * * * * [progress]: [ 114 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 115 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 116 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 117 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 118 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 119 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 120 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 121 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 122 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 123 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 124 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 125 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 126 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 127 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 128 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 129 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 130 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 131 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 132 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 133 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 134 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.239 * * * * [progress]: [ 135 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 136 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 137 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 138 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 139 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 140 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 141 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 142 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 143 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.240 * * * * [progress]: [ 144 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 145 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 146 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 147 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 148 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 149 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 150 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 151 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 152 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 153 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 154 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 155 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 156 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.241 * * * * [progress]: [ 157 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 158 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 159 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 160 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 161 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 162 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 163 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 164 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 165 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 166 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 167 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 168 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 169 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 170 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.242 * * * * [progress]: [ 171 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 172 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 173 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 174 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (log (exp (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 175 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 176 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (cbrt (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 177 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 178 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* 1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 179 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 180 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 181 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.243 * * * * [progress]: [ 182 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.243 * * * * [progress]: [ 183 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))))>
17.243 * * * * [progress]: [ 184 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) n) (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))>
17.243 * * * * [progress]: [ 185 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 2)))>
17.243 * * * * [progress]: [ 186 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 1)))>
17.244 * * * * [progress]: [ 187 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 188 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 189 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 190 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 191 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.244 * * * * [progress]: [ 192 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 193 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 194 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 195 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 196 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.244 * * * * [progress]: [ 197 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 198 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.244 * * * * [progress]: [ 199 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 200 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 201 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.245 * * * * [progress]: [ 202 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 203 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 204 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 205 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 206 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.245 * * * * [progress]: [ 207 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 208 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 209 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 210 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))))))>
17.245 * * * * [progress]: [ 211 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.245 * * * * [progress]: [ 212 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.245 * * * * [progress]: [ 213 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.245 * * * * [progress]: [ 214 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 215 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 216 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 217 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (sqrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 218 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (* (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ 1 2) 2))) (* (pow (* (* 2 PI) n) (/ (/ k 2) 2)) (pow (* (* 2 PI) n) (/ (/ k 2) 2))))))>
17.246 * * * * [progress]: [ 219 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.246 * * * * [progress]: [ 220 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))))))>
17.246 * * * * [progress]: [ 221 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 222 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 223 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* 1 1) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.246 * * * * [progress]: [ 224 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
17.246 * * * * [progress]: [ 225 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.246 * * * * [progress]: [ 226 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
17.246 * * * * [progress]: [ 227 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.247 * * * * [progress]: [ 228 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
17.247 * * * * [progress]: [ 229 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 2 (/ (/ (- 1 k) 2) 2)))))>
17.247 * * * * [progress]: [ 230 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2)))))>
17.247 * * * * [progress]: [ 231 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 232 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 233 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.247 * * * * [progress]: [ 234 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)))))>
17.247 * * * * [progress]: [ 235 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 236 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 237 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 238 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 239 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))))>
17.247 * * * * [progress]: [ 240 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ 1 2) 2))) (pow (* (* 2 PI) n) (/ (/ k 2) 2)))))>
17.247 * * * * [progress]: [ 241 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (* (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ k 2) 2)))))>
17.248 * * * * [progress]: [ 242 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
17.248 * * * * [progress]: [ 243 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 244 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 245 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 246 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 247 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 248 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* 2 PI) n) 1) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 249 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 250 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 251 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (exp (log (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 252 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (log (exp (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 253 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 254 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (/ (- 1 k) 2) 2)))))>
17.248 * * * * [progress]: [ 255 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 256 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 257 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 258 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 1 (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 259 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 260 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 261 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* (* 2 PI) 1) n) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 262 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* PI n)) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 263 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 264 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
17.249 * * * * [progress]: [ 265 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))))>
17.249 * * * * [progress]: [ 266 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
17.249 * * * * [progress]: [ 267 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
17.249 * * * * [progress]: [ 268 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.250 * * * * [progress]: [ 269 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.250 * * * * [progress]: [ 270 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
17.250 * * * * [progress]: [ 271 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k)))))))>
17.250 * * * * [progress]: [ 272 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)))>
17.250 * * * * [progress]: [ 273 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)))>
17.250 * * * * [progress]: [ 274 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
17.250 * * * * [progress]: [ 275 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
17.250 * * * * [progress]: [ 276 / 276 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
17.255 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (log1p (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)), (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)), (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ 1 2) 2)), (pow (* (* 2 PI) n) (/ (/ k 2) 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 1) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 1) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (/ (- 1 k) 2)), (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)), (pow n (/ (/ (- 1 k) 2) 2)), (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (exp (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (expm1 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (log1p (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)), (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)), (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (* 1 (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ 1 2) 2)), (pow (* (* 2 PI) n) (/ (/ k 2) 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (/ (- 1 k) 2) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (/ (- 1 k) 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 1) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ (+ 1 (sqrt k)) 1) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (sqrt 2)) 1)), (pow (* (* 2 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 1) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (/ (- 1 k) 2)), (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)), (pow n (/ (/ (- 1 k) 2) 2)), (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (exp (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (expm1 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (log1p (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)), (* (* (* 2 PI) n) (* (* 2 PI) n)), (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2)) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (+ (log (* 2 PI)) (log n)) (/ (/ (- 1 k) 2) 2))), (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (log (* (* 2 PI) n)) (/ (/ (- 1 k) 2) 2))), (+ (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (log (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (log (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (exp (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))), (cbrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (* (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (sqrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (sqrt (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ 1 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ k 2) 2)) (pow (* (* 2 PI) n) (/ (/ k 2) 2))), (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))), (* (pow n (/ (/ (- 1 k) 2) 2)) (pow n (/ (/ (- 1 k) 2) 2))), (* (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))), (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* 1 1), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* 2 (/ (/ (- 1 k) 2) 2)), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2))), (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (sqrt (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ 1 2) 2))), (* (pow (* (* 2 PI) n) (/ (/ 1 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (real->posit16 (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))), (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))), (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (- (+ (* 1/8 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2)))) (+ (* 1/4 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI)))))) (+ (* 1/8 (* (pow k 2) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2)))) (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2)))) (+ (* 1/2 (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (pow (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 2) k))))), (pow (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2), (pow (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI))
17.264 * * [simplify]: iteration 1: (338 enodes)
17.440 * * [simplify]: iteration 2: (1576 enodes)
18.218 * * [simplify]: Extracting #0: cost 98 inf + 0
18.221 * * [simplify]: Extracting #1: cost 695 inf + 1
18.228 * * [simplify]: Extracting #2: cost 1295 inf + 3497
18.246 * * [simplify]: Extracting #3: cost 1354 inf + 45330
18.307 * * [simplify]: Extracting #4: cost 896 inf + 173748
18.430 * * [simplify]: Extracting #5: cost 236 inf + 456012
18.567 * * [simplify]: Extracting #6: cost 16 inf + 556088
18.704 * * [simplify]: Extracting #7: cost 0 inf + 560576
18.820 * * [simplify]: Extracting #8: cost 0 inf + 559821
18.924 * * [simplify]: Extracting #9: cost 0 inf + 559781
19.039 * [simplify]: Simplified to (expm1 (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (log1p (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (- 1/4 (/ k 4)), (- 1/4 (/ k 4)), (- 1/4 (/ k 4)), (exp (* (log (* (* 2 PI) n)) 1/4)), (pow (* (* 2 PI) n) (/ k 4)), (pow (* (* 2 PI) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4))))), (pow (* (* 2 PI) n) (sqrt (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (cbrt (- 1/2 (/ k 2))) (/ (sqrt 2) (cbrt (- 1/2 (/ k 2)))))), (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))), (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2)))), (pow (* (* 2 PI) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 2)), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 2)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (sqrt (- 1 k))), (pow (* (* 2 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))), (pow (* (* 2 PI) n) (- 1 k)), (* (* 2 PI) n), (pow (* (* 2 PI) n) (- 1/2 (/ k 2))), (pow (* 2 PI) (- 1/4 (/ k 4))), (pow n (- 1/4 (/ k 4))), (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n))), (exp (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (- 1/8 (/ k 8))), (pow (* (* 2 PI) n) (- 1/8 (/ k 8))), (real->posit16 (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (expm1 (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (log1p (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (/ (* (log (* (* 2 PI) n)) (- 1 k)) 4), (- 1/4 (/ k 4)), (- 1/4 (/ k 4)), (- 1/4 (/ k 4)), (exp (* (log (* (* 2 PI) n)) 1/4)), (pow (* (* 2 PI) n) (/ k 4)), (pow (* (* 2 PI) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4))))), (pow (* (* 2 PI) n) (sqrt (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (cbrt (- 1/2 (/ k 2))) (/ (sqrt 2) (cbrt (- 1/2 (/ k 2)))))), (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))), (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2)))), (pow (* (* 2 PI) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 2)), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 2)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (sqrt (- 1 k))), (pow (* (* 2 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (* (sqrt 2) (cbrt 2)) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) 2)), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 PI) n) (+ (sqrt k) 1)), (pow (* (* 2 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2))))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (* (sqrt 2) (cbrt 2)))), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (* (* 2 PI) n), (pow (* (* 2 PI) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (- 1 k) (sqrt 2))), (pow (* (* 2 PI) n) (- 1 k)), (* (* 2 PI) n), (pow (* (* 2 PI) n) (- 1/2 (/ k 2))), (pow (* 2 PI) (- 1/4 (/ k 4))), (pow n (- 1/4 (/ k 4))), (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n))), (exp (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (- 1/8 (/ k 8))), (pow (* (* 2 PI) n) (- 1/8 (/ k 8))), (real->posit16 (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (expm1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (log1p (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))), (* (* (* n PI) (* n PI)) 4), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (* (+ (log (* (* 2 PI) n)) (log (* (* 2 PI) n))) (- 1/4 (/ k 4))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (fma (log (* (* 2 PI) n)) (- 1/4 (/ k 4)) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (+ (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n))) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (+ (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n))) (* (- 1/4 (/ k 4)) (log (* (* 2 PI) n)))), (exp (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))), (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))), (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))), (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (sqrt (* (* 2 PI) n)), (pow (* (* 2 PI) n) (/ (* 2 k) 4)), (pow (* 2 PI) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))), (* (pow n (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))), (* (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))) (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))), (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), 1, (pow (* (* 2 PI) n) (- 1/2 (/ k 2))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))), (* (pow (* 2 PI) (- 1/4 (/ k 4))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))), (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (- 1/4 (/ k 4))), (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (pow n (- 1/4 (/ k 4))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (cbrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (sqrt (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (pow (* (* 2 PI) n) (- 1/2 (/ k 2))), (* (* (pow (* (* 2 PI) n) (- 1/8 (/ k 8))) (pow (* (* 2 PI) n) (- 1/8 (/ k 8)))) (pow (* (* 2 PI) n) (- 1/8 (/ k 8)))), (* (exp (* (log (* (* 2 PI) n)) 1/4)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (* (exp (* (log (* (* 2 PI) n)) 1/4)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))), (real->posit16 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (log (* (* 2 PI) n)), (log (* (* 2 PI) n)), (log (* (* 2 PI) n)), (* (exp (* n PI)) (exp (* n PI))), (* (* (* (* (* 2 PI) n) (* 2 PI)) (* (* 2 PI) n)) n), (* (* (* (* (* 2 PI) n) (* 2 PI)) (* (* 2 PI) n)) n), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* (* 2 PI) n) (* 2 PI)) (* (* 2 PI) n)) n), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* (* 2 PI) (cbrt n)) (cbrt n)), (* (* PI (sqrt n)) 2), (* 2 PI), (* n PI), (real->posit16 (* (* 2 PI) n)), (- (fma 1/16 (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (* k k) (log n))) (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (exp (* (log (* (* 2 PI) n)) 1/4)) (* (log (* 2 PI)) (log (* 2 PI)))))) (exp (* (log (* (* 2 PI) n)) 1/4)))) (* 1/4 (* k (+ (* (log n) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/4))))))), (exp (* (* 1/4 (- 1 k)) (log (* (* 2 PI) n)))), (exp (* (* (- 1 k) 1/4) (- (log (* PI -2)) (log (/ -1 n))))), (- (fma 1/16 (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (* k k) (log n))) (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (exp (* (log (* (* 2 PI) n)) 1/4)) (* (log (* 2 PI)) (log (* 2 PI)))))) (exp (* (log (* (* 2 PI) n)) 1/4)))) (* 1/4 (* k (+ (* (log n) (exp (* (log (* (* 2 PI) n)) 1/4))) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/4))))))), (exp (* (* 1/4 (- 1 k)) (log (* (* 2 PI) n)))), (exp (* (* (- 1 k) 1/4) (- (log (* PI -2)) (log (/ -1 n))))), (- (fma 1/8 (* (sqrt (* (* 2 PI) n)) (* (* k (log n)) (* k (log n)))) (fma 1/4 (* (* (* (sqrt (* (* 2 PI) n)) (* k k)) (log n)) (log (* 2 PI))) (fma 1/8 (* (* (sqrt (* (* 2 PI) n)) (* k k)) (* (log (* 2 PI)) (log (* 2 PI)))) (sqrt (* (* 2 PI) n))))) (* (fma (sqrt (* (* 2 PI) n)) (* k (log n)) (* (log (* 2 PI)) (* (sqrt (* (* 2 PI) n)) k))) 1/2)), (* (exp (* (* 1/4 (- 1 k)) (log (* (* 2 PI) n)))) (exp (* (* 1/4 (- 1 k)) (log (* (* 2 PI) n))))), (* (exp (* (* (- 1 k) 1/4) (- (log (* PI -2)) (log (/ -1 n))))) (exp (* (* (- 1 k) 1/4) (- (log (* PI -2)) (log (/ -1 n)))))), (* (* 2 PI) n), (* (* 2 PI) n), (* (* 2 PI) n)
19.082 * * * [progress]: adding candidates to table
22.749 * * [progress]: iteration 4 / 4
22.749 * * * [progress]: picking best candidate
22.779 * * * * [pick]: Picked  #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
22.779 * * * [progress]: localizing error
22.829 * * * [progress]: generating rewritten candidates
22.829 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2)
22.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
22.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
22.926 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1)
22.948 * * * [progress]: generating series expansions
22.948 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2)
22.949 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
22.949 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
22.949 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
22.949 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
22.949 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
22.949 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
22.949 * [taylor]: Taking taylor expansion of 1/2 in k
22.949 * [backup-simplify]: Simplify 1/2 into 1/2
22.949 * [taylor]: Taking taylor expansion of (- 1 k) in k
22.949 * [taylor]: Taking taylor expansion of 1 in k
22.949 * [backup-simplify]: Simplify 1 into 1
22.949 * [taylor]: Taking taylor expansion of k in k
22.949 * [backup-simplify]: Simplify 0 into 0
22.949 * [backup-simplify]: Simplify 1 into 1
22.949 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
22.950 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
22.950 * [taylor]: Taking taylor expansion of 2 in k
22.950 * [backup-simplify]: Simplify 2 into 2
22.950 * [taylor]: Taking taylor expansion of (* n PI) in k
22.950 * [taylor]: Taking taylor expansion of n in k
22.950 * [backup-simplify]: Simplify n into n
22.950 * [taylor]: Taking taylor expansion of PI in k
22.950 * [backup-simplify]: Simplify PI into PI
22.950 * [backup-simplify]: Simplify (* n PI) into (* n PI)
22.950 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
22.950 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
22.950 * [backup-simplify]: Simplify (- 0) into 0
22.950 * [backup-simplify]: Simplify (+ 1 0) into 1
22.951 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.951 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
22.951 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
22.951 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
22.951 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
22.951 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
22.951 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
22.951 * [taylor]: Taking taylor expansion of 1/2 in n
22.951 * [backup-simplify]: Simplify 1/2 into 1/2
22.951 * [taylor]: Taking taylor expansion of (- 1 k) in n
22.951 * [taylor]: Taking taylor expansion of 1 in n
22.951 * [backup-simplify]: Simplify 1 into 1
22.951 * [taylor]: Taking taylor expansion of k in n
22.951 * [backup-simplify]: Simplify k into k
22.951 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.951 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.951 * [taylor]: Taking taylor expansion of 2 in n
22.951 * [backup-simplify]: Simplify 2 into 2
22.951 * [taylor]: Taking taylor expansion of (* n PI) in n
22.951 * [taylor]: Taking taylor expansion of n in n
22.951 * [backup-simplify]: Simplify 0 into 0
22.951 * [backup-simplify]: Simplify 1 into 1
22.951 * [taylor]: Taking taylor expansion of PI in n
22.951 * [backup-simplify]: Simplify PI into PI
22.951 * [backup-simplify]: Simplify (* 0 PI) into 0
22.952 * [backup-simplify]: Simplify (* 2 0) into 0
22.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.954 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.954 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.954 * [backup-simplify]: Simplify (- k) into (- k)
22.954 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
22.954 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
22.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.956 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
22.957 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
22.957 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
22.957 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
22.957 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
22.957 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
22.957 * [taylor]: Taking taylor expansion of 1/2 in n
22.957 * [backup-simplify]: Simplify 1/2 into 1/2
22.957 * [taylor]: Taking taylor expansion of (- 1 k) in n
22.957 * [taylor]: Taking taylor expansion of 1 in n
22.957 * [backup-simplify]: Simplify 1 into 1
22.957 * [taylor]: Taking taylor expansion of k in n
22.957 * [backup-simplify]: Simplify k into k
22.957 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
22.957 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.957 * [taylor]: Taking taylor expansion of 2 in n
22.957 * [backup-simplify]: Simplify 2 into 2
22.957 * [taylor]: Taking taylor expansion of (* n PI) in n
22.957 * [taylor]: Taking taylor expansion of n in n
22.957 * [backup-simplify]: Simplify 0 into 0
22.957 * [backup-simplify]: Simplify 1 into 1
22.957 * [taylor]: Taking taylor expansion of PI in n
22.957 * [backup-simplify]: Simplify PI into PI
22.957 * [backup-simplify]: Simplify (* 0 PI) into 0
22.958 * [backup-simplify]: Simplify (* 2 0) into 0
22.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.959 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.960 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.960 * [backup-simplify]: Simplify (- k) into (- k)
22.960 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
22.960 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
22.961 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.962 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
22.962 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
22.962 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
22.962 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
22.963 * [taylor]: Taking taylor expansion of 1/2 in k
22.963 * [backup-simplify]: Simplify 1/2 into 1/2
22.963 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
22.963 * [taylor]: Taking taylor expansion of (- 1 k) in k
22.963 * [taylor]: Taking taylor expansion of 1 in k
22.963 * [backup-simplify]: Simplify 1 into 1
22.963 * [taylor]: Taking taylor expansion of k in k
22.963 * [backup-simplify]: Simplify 0 into 0
22.963 * [backup-simplify]: Simplify 1 into 1
22.963 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
22.963 * [taylor]: Taking taylor expansion of (log n) in k
22.963 * [taylor]: Taking taylor expansion of n in k
22.963 * [backup-simplify]: Simplify n into n
22.963 * [backup-simplify]: Simplify (log n) into (log n)
22.963 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.963 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.963 * [taylor]: Taking taylor expansion of 2 in k
22.963 * [backup-simplify]: Simplify 2 into 2
22.963 * [taylor]: Taking taylor expansion of PI in k
22.963 * [backup-simplify]: Simplify PI into PI
22.963 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.964 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.964 * [backup-simplify]: Simplify (- 0) into 0
22.964 * [backup-simplify]: Simplify (+ 1 0) into 1
22.965 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.965 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
22.966 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
22.967 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
22.967 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
22.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.978 * [backup-simplify]: Simplify (- 0) into 0
22.978 * [backup-simplify]: Simplify (+ 0 0) into 0
22.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
22.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
22.981 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
22.983 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.983 * [taylor]: Taking taylor expansion of 0 in k
22.983 * [backup-simplify]: Simplify 0 into 0
22.983 * [backup-simplify]: Simplify 0 into 0
22.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
22.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.987 * [backup-simplify]: Simplify (+ 0 0) into 0
22.987 * [backup-simplify]: Simplify (- 1) into -1
22.988 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.989 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
22.991 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
22.994 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.997 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
22.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
23.003 * [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
23.003 * [backup-simplify]: Simplify (- 0) into 0
23.004 * [backup-simplify]: Simplify (+ 0 0) into 0
23.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
23.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.008 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.010 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.010 * [taylor]: Taking taylor expansion of 0 in k
23.010 * [backup-simplify]: Simplify 0 into 0
23.010 * [backup-simplify]: Simplify 0 into 0
23.010 * [backup-simplify]: Simplify 0 into 0
23.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
23.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.014 * [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
23.014 * [backup-simplify]: Simplify (+ 0 0) into 0
23.015 * [backup-simplify]: Simplify (- 0) into 0
23.015 * [backup-simplify]: Simplify (+ 0 0) into 0
23.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.020 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
23.023 * [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)))))
23.029 * [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)))))
23.030 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
23.030 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
23.030 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
23.030 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
23.030 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
23.030 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
23.030 * [taylor]: Taking taylor expansion of 1/2 in k
23.030 * [backup-simplify]: Simplify 1/2 into 1/2
23.030 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
23.030 * [taylor]: Taking taylor expansion of 1 in k
23.030 * [backup-simplify]: Simplify 1 into 1
23.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.030 * [taylor]: Taking taylor expansion of k in k
23.030 * [backup-simplify]: Simplify 0 into 0
23.030 * [backup-simplify]: Simplify 1 into 1
23.030 * [backup-simplify]: Simplify (/ 1 1) into 1
23.030 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
23.030 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
23.030 * [taylor]: Taking taylor expansion of 2 in k
23.030 * [backup-simplify]: Simplify 2 into 2
23.030 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.030 * [taylor]: Taking taylor expansion of PI in k
23.030 * [backup-simplify]: Simplify PI into PI
23.030 * [taylor]: Taking taylor expansion of n in k
23.030 * [backup-simplify]: Simplify n into n
23.030 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.030 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
23.031 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
23.031 * [backup-simplify]: Simplify (- 1) into -1
23.031 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.031 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
23.031 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
23.031 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
23.032 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
23.032 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
23.032 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
23.032 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
23.032 * [taylor]: Taking taylor expansion of 1/2 in n
23.032 * [backup-simplify]: Simplify 1/2 into 1/2
23.032 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
23.032 * [taylor]: Taking taylor expansion of 1 in n
23.032 * [backup-simplify]: Simplify 1 into 1
23.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.032 * [taylor]: Taking taylor expansion of k in n
23.032 * [backup-simplify]: Simplify k into k
23.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.032 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
23.032 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.032 * [taylor]: Taking taylor expansion of 2 in n
23.032 * [backup-simplify]: Simplify 2 into 2
23.032 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.032 * [taylor]: Taking taylor expansion of PI in n
23.032 * [backup-simplify]: Simplify PI into PI
23.032 * [taylor]: Taking taylor expansion of n in n
23.032 * [backup-simplify]: Simplify 0 into 0
23.032 * [backup-simplify]: Simplify 1 into 1
23.032 * [backup-simplify]: Simplify (/ PI 1) into PI
23.032 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.033 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.033 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
23.033 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
23.034 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.035 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
23.035 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.035 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
23.035 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
23.035 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
23.036 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
23.036 * [taylor]: Taking taylor expansion of 1/2 in n
23.036 * [backup-simplify]: Simplify 1/2 into 1/2
23.036 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
23.036 * [taylor]: Taking taylor expansion of 1 in n
23.036 * [backup-simplify]: Simplify 1 into 1
23.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.036 * [taylor]: Taking taylor expansion of k in n
23.036 * [backup-simplify]: Simplify k into k
23.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.036 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
23.036 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.036 * [taylor]: Taking taylor expansion of 2 in n
23.036 * [backup-simplify]: Simplify 2 into 2
23.036 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.036 * [taylor]: Taking taylor expansion of PI in n
23.036 * [backup-simplify]: Simplify PI into PI
23.036 * [taylor]: Taking taylor expansion of n in n
23.036 * [backup-simplify]: Simplify 0 into 0
23.036 * [backup-simplify]: Simplify 1 into 1
23.036 * [backup-simplify]: Simplify (/ PI 1) into PI
23.036 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.037 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.037 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.037 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
23.037 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
23.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.039 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
23.039 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.039 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
23.039 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
23.039 * [taylor]: Taking taylor expansion of 1/2 in k
23.040 * [backup-simplify]: Simplify 1/2 into 1/2
23.040 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
23.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
23.040 * [taylor]: Taking taylor expansion of 1 in k
23.040 * [backup-simplify]: Simplify 1 into 1
23.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.040 * [taylor]: Taking taylor expansion of k in k
23.040 * [backup-simplify]: Simplify 0 into 0
23.040 * [backup-simplify]: Simplify 1 into 1
23.040 * [backup-simplify]: Simplify (/ 1 1) into 1
23.040 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
23.040 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
23.040 * [taylor]: Taking taylor expansion of (* 2 PI) in k
23.040 * [taylor]: Taking taylor expansion of 2 in k
23.040 * [backup-simplify]: Simplify 2 into 2
23.040 * [taylor]: Taking taylor expansion of PI in k
23.040 * [backup-simplify]: Simplify PI into PI
23.040 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.041 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.041 * [taylor]: Taking taylor expansion of (log n) in k
23.041 * [taylor]: Taking taylor expansion of n in k
23.041 * [backup-simplify]: Simplify n into n
23.041 * [backup-simplify]: Simplify (log n) into (log n)
23.041 * [backup-simplify]: Simplify (- 1) into -1
23.041 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.041 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
23.042 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
23.043 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
23.043 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
23.045 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.046 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
23.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
23.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.051 * [backup-simplify]: Simplify (- 0) into 0
23.051 * [backup-simplify]: Simplify (+ 0 0) into 0
23.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
23.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.054 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
23.056 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.056 * [taylor]: Taking taylor expansion of 0 in k
23.056 * [backup-simplify]: Simplify 0 into 0
23.056 * [backup-simplify]: Simplify 0 into 0
23.057 * [backup-simplify]: Simplify 0 into 0
23.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
23.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.063 * [backup-simplify]: Simplify (- 0) into 0
23.063 * [backup-simplify]: Simplify (+ 0 0) into 0
23.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
23.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.066 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
23.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.068 * [taylor]: Taking taylor expansion of 0 in k
23.068 * [backup-simplify]: Simplify 0 into 0
23.068 * [backup-simplify]: Simplify 0 into 0
23.068 * [backup-simplify]: Simplify 0 into 0
23.068 * [backup-simplify]: Simplify 0 into 0
23.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.072 * [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
23.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.073 * [backup-simplify]: Simplify (- 0) into 0
23.073 * [backup-simplify]: Simplify (+ 0 0) into 0
23.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
23.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.076 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
23.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
23.077 * [taylor]: Taking taylor expansion of 0 in k
23.077 * [backup-simplify]: Simplify 0 into 0
23.077 * [backup-simplify]: Simplify 0 into 0
23.078 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
23.079 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
23.079 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
23.079 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
23.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
23.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
23.079 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
23.079 * [taylor]: Taking taylor expansion of 1/2 in k
23.079 * [backup-simplify]: Simplify 1/2 into 1/2
23.079 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
23.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.079 * [taylor]: Taking taylor expansion of k in k
23.079 * [backup-simplify]: Simplify 0 into 0
23.079 * [backup-simplify]: Simplify 1 into 1
23.079 * [backup-simplify]: Simplify (/ 1 1) into 1
23.079 * [taylor]: Taking taylor expansion of 1 in k
23.079 * [backup-simplify]: Simplify 1 into 1
23.079 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
23.079 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
23.079 * [taylor]: Taking taylor expansion of -2 in k
23.079 * [backup-simplify]: Simplify -2 into -2
23.079 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.079 * [taylor]: Taking taylor expansion of PI in k
23.079 * [backup-simplify]: Simplify PI into PI
23.079 * [taylor]: Taking taylor expansion of n in k
23.079 * [backup-simplify]: Simplify n into n
23.079 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.079 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
23.079 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
23.080 * [backup-simplify]: Simplify (+ 1 0) into 1
23.080 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
23.080 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
23.080 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
23.080 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
23.080 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
23.080 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
23.080 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
23.080 * [taylor]: Taking taylor expansion of 1/2 in n
23.080 * [backup-simplify]: Simplify 1/2 into 1/2
23.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
23.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.080 * [taylor]: Taking taylor expansion of k in n
23.080 * [backup-simplify]: Simplify k into k
23.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.080 * [taylor]: Taking taylor expansion of 1 in n
23.080 * [backup-simplify]: Simplify 1 into 1
23.080 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
23.080 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.080 * [taylor]: Taking taylor expansion of -2 in n
23.080 * [backup-simplify]: Simplify -2 into -2
23.080 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.080 * [taylor]: Taking taylor expansion of PI in n
23.080 * [backup-simplify]: Simplify PI into PI
23.080 * [taylor]: Taking taylor expansion of n in n
23.080 * [backup-simplify]: Simplify 0 into 0
23.080 * [backup-simplify]: Simplify 1 into 1
23.081 * [backup-simplify]: Simplify (/ PI 1) into PI
23.081 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.082 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.082 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
23.082 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
23.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.083 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
23.089 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.089 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
23.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
23.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
23.089 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
23.089 * [taylor]: Taking taylor expansion of 1/2 in n
23.089 * [backup-simplify]: Simplify 1/2 into 1/2
23.089 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
23.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.089 * [taylor]: Taking taylor expansion of k in n
23.089 * [backup-simplify]: Simplify k into k
23.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.090 * [taylor]: Taking taylor expansion of 1 in n
23.090 * [backup-simplify]: Simplify 1 into 1
23.090 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
23.090 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.090 * [taylor]: Taking taylor expansion of -2 in n
23.090 * [backup-simplify]: Simplify -2 into -2
23.090 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.090 * [taylor]: Taking taylor expansion of PI in n
23.090 * [backup-simplify]: Simplify PI into PI
23.090 * [taylor]: Taking taylor expansion of n in n
23.090 * [backup-simplify]: Simplify 0 into 0
23.090 * [backup-simplify]: Simplify 1 into 1
23.091 * [backup-simplify]: Simplify (/ PI 1) into PI
23.091 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.092 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.093 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
23.093 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
23.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.095 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
23.096 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.096 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
23.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
23.096 * [taylor]: Taking taylor expansion of 1/2 in k
23.096 * [backup-simplify]: Simplify 1/2 into 1/2
23.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
23.097 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
23.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.097 * [taylor]: Taking taylor expansion of k in k
23.097 * [backup-simplify]: Simplify 0 into 0
23.097 * [backup-simplify]: Simplify 1 into 1
23.097 * [backup-simplify]: Simplify (/ 1 1) into 1
23.097 * [taylor]: Taking taylor expansion of 1 in k
23.097 * [backup-simplify]: Simplify 1 into 1
23.097 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
23.097 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
23.097 * [taylor]: Taking taylor expansion of (* -2 PI) in k
23.097 * [taylor]: Taking taylor expansion of -2 in k
23.097 * [backup-simplify]: Simplify -2 into -2
23.097 * [taylor]: Taking taylor expansion of PI in k
23.097 * [backup-simplify]: Simplify PI into PI
23.098 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.099 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.099 * [taylor]: Taking taylor expansion of (log n) in k
23.099 * [taylor]: Taking taylor expansion of n in k
23.099 * [backup-simplify]: Simplify n into n
23.099 * [backup-simplify]: Simplify (log n) into (log n)
23.100 * [backup-simplify]: Simplify (+ 1 0) into 1
23.100 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
23.101 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
23.102 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
23.103 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
23.104 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.105 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.107 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
23.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
23.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.110 * [backup-simplify]: Simplify (+ 0 0) into 0
23.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
23.112 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.113 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
23.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.115 * [taylor]: Taking taylor expansion of 0 in k
23.115 * [backup-simplify]: Simplify 0 into 0
23.115 * [backup-simplify]: Simplify 0 into 0
23.115 * [backup-simplify]: Simplify 0 into 0
23.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.118 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
23.121 * [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
23.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.122 * [backup-simplify]: Simplify (+ 0 0) into 0
23.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
23.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.125 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
23.126 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.126 * [taylor]: Taking taylor expansion of 0 in k
23.126 * [backup-simplify]: Simplify 0 into 0
23.127 * [backup-simplify]: Simplify 0 into 0
23.127 * [backup-simplify]: Simplify 0 into 0
23.127 * [backup-simplify]: Simplify 0 into 0
23.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.128 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.132 * [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
23.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.132 * [backup-simplify]: Simplify (+ 0 0) into 0
23.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
23.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.135 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
23.137 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
23.137 * [taylor]: Taking taylor expansion of 0 in k
23.137 * [backup-simplify]: Simplify 0 into 0
23.137 * [backup-simplify]: Simplify 0 into 0
23.138 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
23.138 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
23.138 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
23.138 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
23.138 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
23.138 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
23.138 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
23.138 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
23.138 * [taylor]: Taking taylor expansion of 1/2 in k
23.138 * [backup-simplify]: Simplify 1/2 into 1/2
23.138 * [taylor]: Taking taylor expansion of (- 1 k) in k
23.138 * [taylor]: Taking taylor expansion of 1 in k
23.138 * [backup-simplify]: Simplify 1 into 1
23.138 * [taylor]: Taking taylor expansion of k in k
23.138 * [backup-simplify]: Simplify 0 into 0
23.138 * [backup-simplify]: Simplify 1 into 1
23.138 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
23.138 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
23.138 * [taylor]: Taking taylor expansion of 2 in k
23.138 * [backup-simplify]: Simplify 2 into 2
23.138 * [taylor]: Taking taylor expansion of (* n PI) in k
23.138 * [taylor]: Taking taylor expansion of n in k
23.138 * [backup-simplify]: Simplify n into n
23.138 * [taylor]: Taking taylor expansion of PI in k
23.138 * [backup-simplify]: Simplify PI into PI
23.138 * [backup-simplify]: Simplify (* n PI) into (* n PI)
23.138 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
23.138 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
23.139 * [backup-simplify]: Simplify (- 0) into 0
23.139 * [backup-simplify]: Simplify (+ 1 0) into 1
23.139 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
23.139 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
23.139 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
23.139 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
23.139 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
23.139 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
23.139 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
23.139 * [taylor]: Taking taylor expansion of 1/2 in n
23.139 * [backup-simplify]: Simplify 1/2 into 1/2
23.139 * [taylor]: Taking taylor expansion of (- 1 k) in n
23.139 * [taylor]: Taking taylor expansion of 1 in n
23.140 * [backup-simplify]: Simplify 1 into 1
23.140 * [taylor]: Taking taylor expansion of k in n
23.140 * [backup-simplify]: Simplify k into k
23.140 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
23.140 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.140 * [taylor]: Taking taylor expansion of 2 in n
23.140 * [backup-simplify]: Simplify 2 into 2
23.140 * [taylor]: Taking taylor expansion of (* n PI) in n
23.140 * [taylor]: Taking taylor expansion of n in n
23.140 * [backup-simplify]: Simplify 0 into 0
23.140 * [backup-simplify]: Simplify 1 into 1
23.140 * [taylor]: Taking taylor expansion of PI in n
23.140 * [backup-simplify]: Simplify PI into PI
23.140 * [backup-simplify]: Simplify (* 0 PI) into 0
23.140 * [backup-simplify]: Simplify (* 2 0) into 0
23.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.142 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
23.143 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.143 * [backup-simplify]: Simplify (- k) into (- k)
23.143 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
23.143 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
23.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.144 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
23.145 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
23.145 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
23.145 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
23.145 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
23.145 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
23.145 * [taylor]: Taking taylor expansion of 1/2 in n
23.145 * [backup-simplify]: Simplify 1/2 into 1/2
23.145 * [taylor]: Taking taylor expansion of (- 1 k) in n
23.145 * [taylor]: Taking taylor expansion of 1 in n
23.145 * [backup-simplify]: Simplify 1 into 1
23.145 * [taylor]: Taking taylor expansion of k in n
23.145 * [backup-simplify]: Simplify k into k
23.145 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
23.145 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.145 * [taylor]: Taking taylor expansion of 2 in n
23.145 * [backup-simplify]: Simplify 2 into 2
23.145 * [taylor]: Taking taylor expansion of (* n PI) in n
23.145 * [taylor]: Taking taylor expansion of n in n
23.145 * [backup-simplify]: Simplify 0 into 0
23.145 * [backup-simplify]: Simplify 1 into 1
23.145 * [taylor]: Taking taylor expansion of PI in n
23.145 * [backup-simplify]: Simplify PI into PI
23.146 * [backup-simplify]: Simplify (* 0 PI) into 0
23.146 * [backup-simplify]: Simplify (* 2 0) into 0
23.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.148 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
23.148 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.148 * [backup-simplify]: Simplify (- k) into (- k)
23.148 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
23.148 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
23.149 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.150 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
23.151 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
23.151 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
23.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
23.151 * [taylor]: Taking taylor expansion of 1/2 in k
23.151 * [backup-simplify]: Simplify 1/2 into 1/2
23.151 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
23.151 * [taylor]: Taking taylor expansion of (- 1 k) in k
23.151 * [taylor]: Taking taylor expansion of 1 in k
23.151 * [backup-simplify]: Simplify 1 into 1
23.151 * [taylor]: Taking taylor expansion of k in k
23.151 * [backup-simplify]: Simplify 0 into 0
23.151 * [backup-simplify]: Simplify 1 into 1
23.151 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
23.151 * [taylor]: Taking taylor expansion of (log n) in k
23.151 * [taylor]: Taking taylor expansion of n in k
23.151 * [backup-simplify]: Simplify n into n
23.151 * [backup-simplify]: Simplify (log n) into (log n)
23.151 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
23.151 * [taylor]: Taking taylor expansion of (* 2 PI) in k
23.151 * [taylor]: Taking taylor expansion of 2 in k
23.151 * [backup-simplify]: Simplify 2 into 2
23.151 * [taylor]: Taking taylor expansion of PI in k
23.151 * [backup-simplify]: Simplify PI into PI
23.151 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.152 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.152 * [backup-simplify]: Simplify (- 0) into 0
23.152 * [backup-simplify]: Simplify (+ 1 0) into 1
23.153 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.154 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
23.154 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
23.155 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
23.156 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
23.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
23.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
23.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
23.160 * [backup-simplify]: Simplify (- 0) into 0
23.161 * [backup-simplify]: Simplify (+ 0 0) into 0
23.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
23.162 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.164 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
23.165 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.165 * [taylor]: Taking taylor expansion of 0 in k
23.166 * [backup-simplify]: Simplify 0 into 0
23.166 * [backup-simplify]: Simplify 0 into 0
23.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
23.168 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
23.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
23.170 * [backup-simplify]: Simplify (+ 0 0) into 0
23.170 * [backup-simplify]: Simplify (- 1) into -1
23.171 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.172 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
23.174 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
23.178 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
23.181 * [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)))))))
23.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
23.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
23.186 * [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
23.187 * [backup-simplify]: Simplify (- 0) into 0
23.187 * [backup-simplify]: Simplify (+ 0 0) into 0
23.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
23.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
23.191 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.194 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.194 * [taylor]: Taking taylor expansion of 0 in k
23.194 * [backup-simplify]: Simplify 0 into 0
23.194 * [backup-simplify]: Simplify 0 into 0
23.194 * [backup-simplify]: Simplify 0 into 0
23.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
23.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
23.201 * [backup-simplify]: Simplify (+ 0 0) into 0
23.201 * [backup-simplify]: Simplify (- 0) into 0
23.202 * [backup-simplify]: Simplify (+ 0 0) into 0
23.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
23.210 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
23.222 * [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)))))
23.232 * [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)))))
23.233 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
23.233 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
23.233 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
23.233 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
23.233 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
23.233 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
23.233 * [taylor]: Taking taylor expansion of 1/2 in k
23.233 * [backup-simplify]: Simplify 1/2 into 1/2
23.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
23.233 * [taylor]: Taking taylor expansion of 1 in k
23.233 * [backup-simplify]: Simplify 1 into 1
23.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.233 * [taylor]: Taking taylor expansion of k in k
23.233 * [backup-simplify]: Simplify 0 into 0
23.233 * [backup-simplify]: Simplify 1 into 1
23.233 * [backup-simplify]: Simplify (/ 1 1) into 1
23.233 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
23.233 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
23.233 * [taylor]: Taking taylor expansion of 2 in k
23.234 * [backup-simplify]: Simplify 2 into 2
23.234 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.234 * [taylor]: Taking taylor expansion of PI in k
23.234 * [backup-simplify]: Simplify PI into PI
23.234 * [taylor]: Taking taylor expansion of n in k
23.234 * [backup-simplify]: Simplify n into n
23.234 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.234 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
23.234 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
23.234 * [backup-simplify]: Simplify (- 1) into -1
23.235 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.235 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
23.235 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
23.235 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
23.235 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
23.236 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
23.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
23.236 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
23.236 * [taylor]: Taking taylor expansion of 1/2 in n
23.236 * [backup-simplify]: Simplify 1/2 into 1/2
23.236 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
23.236 * [taylor]: Taking taylor expansion of 1 in n
23.236 * [backup-simplify]: Simplify 1 into 1
23.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.236 * [taylor]: Taking taylor expansion of k in n
23.236 * [backup-simplify]: Simplify k into k
23.236 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.236 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
23.236 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.236 * [taylor]: Taking taylor expansion of 2 in n
23.236 * [backup-simplify]: Simplify 2 into 2
23.236 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.236 * [taylor]: Taking taylor expansion of PI in n
23.236 * [backup-simplify]: Simplify PI into PI
23.236 * [taylor]: Taking taylor expansion of n in n
23.236 * [backup-simplify]: Simplify 0 into 0
23.236 * [backup-simplify]: Simplify 1 into 1
23.237 * [backup-simplify]: Simplify (/ PI 1) into PI
23.237 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.238 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.238 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.238 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
23.238 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
23.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.241 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
23.242 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.242 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
23.242 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
23.242 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
23.242 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
23.242 * [taylor]: Taking taylor expansion of 1/2 in n
23.242 * [backup-simplify]: Simplify 1/2 into 1/2
23.242 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
23.242 * [taylor]: Taking taylor expansion of 1 in n
23.242 * [backup-simplify]: Simplify 1 into 1
23.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.242 * [taylor]: Taking taylor expansion of k in n
23.242 * [backup-simplify]: Simplify k into k
23.242 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.242 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
23.243 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.243 * [taylor]: Taking taylor expansion of 2 in n
23.243 * [backup-simplify]: Simplify 2 into 2
23.243 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.243 * [taylor]: Taking taylor expansion of PI in n
23.243 * [backup-simplify]: Simplify PI into PI
23.243 * [taylor]: Taking taylor expansion of n in n
23.243 * [backup-simplify]: Simplify 0 into 0
23.243 * [backup-simplify]: Simplify 1 into 1
23.243 * [backup-simplify]: Simplify (/ PI 1) into PI
23.244 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.245 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.245 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
23.245 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
23.245 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
23.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.247 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
23.248 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.248 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
23.249 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
23.249 * [taylor]: Taking taylor expansion of 1/2 in k
23.249 * [backup-simplify]: Simplify 1/2 into 1/2
23.249 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
23.249 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
23.249 * [taylor]: Taking taylor expansion of 1 in k
23.249 * [backup-simplify]: Simplify 1 into 1
23.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.249 * [taylor]: Taking taylor expansion of k in k
23.249 * [backup-simplify]: Simplify 0 into 0
23.249 * [backup-simplify]: Simplify 1 into 1
23.249 * [backup-simplify]: Simplify (/ 1 1) into 1
23.249 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
23.249 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
23.249 * [taylor]: Taking taylor expansion of (* 2 PI) in k
23.249 * [taylor]: Taking taylor expansion of 2 in k
23.249 * [backup-simplify]: Simplify 2 into 2
23.249 * [taylor]: Taking taylor expansion of PI in k
23.249 * [backup-simplify]: Simplify PI into PI
23.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.251 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
23.251 * [taylor]: Taking taylor expansion of (log n) in k
23.251 * [taylor]: Taking taylor expansion of n in k
23.251 * [backup-simplify]: Simplify n into n
23.251 * [backup-simplify]: Simplify (log n) into (log n)
23.251 * [backup-simplify]: Simplify (- 1) into -1
23.252 * [backup-simplify]: Simplify (+ 0 -1) into -1
23.252 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
23.253 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
23.254 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
23.255 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
23.256 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.257 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
23.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
23.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
23.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.261 * [backup-simplify]: Simplify (- 0) into 0
23.262 * [backup-simplify]: Simplify (+ 0 0) into 0
23.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
23.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.265 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
23.266 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.267 * [taylor]: Taking taylor expansion of 0 in k
23.267 * [backup-simplify]: Simplify 0 into 0
23.267 * [backup-simplify]: Simplify 0 into 0
23.267 * [backup-simplify]: Simplify 0 into 0
23.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.272 * [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
23.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.273 * [backup-simplify]: Simplify (- 0) into 0
23.274 * [backup-simplify]: Simplify (+ 0 0) into 0
23.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
23.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.277 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
23.280 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.280 * [taylor]: Taking taylor expansion of 0 in k
23.280 * [backup-simplify]: Simplify 0 into 0
23.280 * [backup-simplify]: Simplify 0 into 0
23.280 * [backup-simplify]: Simplify 0 into 0
23.280 * [backup-simplify]: Simplify 0 into 0
23.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.288 * [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
23.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.289 * [backup-simplify]: Simplify (- 0) into 0
23.289 * [backup-simplify]: Simplify (+ 0 0) into 0
23.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
23.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
23.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
23.296 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
23.296 * [taylor]: Taking taylor expansion of 0 in k
23.296 * [backup-simplify]: Simplify 0 into 0
23.296 * [backup-simplify]: Simplify 0 into 0
23.297 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
23.298 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
23.298 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
23.298 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
23.298 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
23.298 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
23.298 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
23.298 * [taylor]: Taking taylor expansion of 1/2 in k
23.298 * [backup-simplify]: Simplify 1/2 into 1/2
23.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
23.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.298 * [taylor]: Taking taylor expansion of k in k
23.298 * [backup-simplify]: Simplify 0 into 0
23.298 * [backup-simplify]: Simplify 1 into 1
23.299 * [backup-simplify]: Simplify (/ 1 1) into 1
23.299 * [taylor]: Taking taylor expansion of 1 in k
23.299 * [backup-simplify]: Simplify 1 into 1
23.299 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
23.299 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
23.299 * [taylor]: Taking taylor expansion of -2 in k
23.299 * [backup-simplify]: Simplify -2 into -2
23.299 * [taylor]: Taking taylor expansion of (/ PI n) in k
23.299 * [taylor]: Taking taylor expansion of PI in k
23.299 * [backup-simplify]: Simplify PI into PI
23.299 * [taylor]: Taking taylor expansion of n in k
23.299 * [backup-simplify]: Simplify n into n
23.299 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
23.299 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
23.299 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
23.300 * [backup-simplify]: Simplify (+ 1 0) into 1
23.300 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
23.301 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
23.301 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
23.301 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
23.301 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
23.301 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
23.301 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
23.301 * [taylor]: Taking taylor expansion of 1/2 in n
23.301 * [backup-simplify]: Simplify 1/2 into 1/2
23.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
23.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.301 * [taylor]: Taking taylor expansion of k in n
23.301 * [backup-simplify]: Simplify k into k
23.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.301 * [taylor]: Taking taylor expansion of 1 in n
23.301 * [backup-simplify]: Simplify 1 into 1
23.301 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
23.301 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.301 * [taylor]: Taking taylor expansion of -2 in n
23.301 * [backup-simplify]: Simplify -2 into -2
23.301 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.301 * [taylor]: Taking taylor expansion of PI in n
23.301 * [backup-simplify]: Simplify PI into PI
23.301 * [taylor]: Taking taylor expansion of n in n
23.301 * [backup-simplify]: Simplify 0 into 0
23.301 * [backup-simplify]: Simplify 1 into 1
23.302 * [backup-simplify]: Simplify (/ PI 1) into PI
23.303 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.303 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.304 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
23.304 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
23.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.306 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
23.307 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.307 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
23.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
23.307 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
23.307 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
23.307 * [taylor]: Taking taylor expansion of 1/2 in n
23.307 * [backup-simplify]: Simplify 1/2 into 1/2
23.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
23.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n
23.307 * [taylor]: Taking taylor expansion of k in n
23.308 * [backup-simplify]: Simplify k into k
23.308 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
23.308 * [taylor]: Taking taylor expansion of 1 in n
23.308 * [backup-simplify]: Simplify 1 into 1
23.308 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
23.308 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.308 * [taylor]: Taking taylor expansion of -2 in n
23.308 * [backup-simplify]: Simplify -2 into -2
23.308 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.308 * [taylor]: Taking taylor expansion of PI in n
23.308 * [backup-simplify]: Simplify PI into PI
23.308 * [taylor]: Taking taylor expansion of n in n
23.308 * [backup-simplify]: Simplify 0 into 0
23.308 * [backup-simplify]: Simplify 1 into 1
23.308 * [backup-simplify]: Simplify (/ PI 1) into PI
23.309 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.310 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.310 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
23.310 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
23.311 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.312 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
23.314 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.314 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
23.314 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
23.314 * [taylor]: Taking taylor expansion of 1/2 in k
23.314 * [backup-simplify]: Simplify 1/2 into 1/2
23.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
23.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
23.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k
23.314 * [taylor]: Taking taylor expansion of k in k
23.314 * [backup-simplify]: Simplify 0 into 0
23.314 * [backup-simplify]: Simplify 1 into 1
23.314 * [backup-simplify]: Simplify (/ 1 1) into 1
23.314 * [taylor]: Taking taylor expansion of 1 in k
23.314 * [backup-simplify]: Simplify 1 into 1
23.314 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
23.314 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
23.314 * [taylor]: Taking taylor expansion of (* -2 PI) in k
23.314 * [taylor]: Taking taylor expansion of -2 in k
23.314 * [backup-simplify]: Simplify -2 into -2
23.314 * [taylor]: Taking taylor expansion of PI in k
23.315 * [backup-simplify]: Simplify PI into PI
23.315 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.316 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
23.316 * [taylor]: Taking taylor expansion of (log n) in k
23.316 * [taylor]: Taking taylor expansion of n in k
23.316 * [backup-simplify]: Simplify n into n
23.316 * [backup-simplify]: Simplify (log n) into (log n)
23.317 * [backup-simplify]: Simplify (+ 1 0) into 1
23.317 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
23.318 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
23.319 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
23.320 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
23.321 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.322 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
23.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.324 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
23.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
23.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
23.326 * [backup-simplify]: Simplify (+ 0 0) into 0
23.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
23.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.329 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
23.331 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
23.331 * [taylor]: Taking taylor expansion of 0 in k
23.332 * [backup-simplify]: Simplify 0 into 0
23.332 * [backup-simplify]: Simplify 0 into 0
23.332 * [backup-simplify]: Simplify 0 into 0
23.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.334 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
23.338 * [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
23.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.339 * [backup-simplify]: Simplify (+ 0 0) into 0
23.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
23.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.342 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
23.345 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
23.345 * [taylor]: Taking taylor expansion of 0 in k
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [backup-simplify]: Simplify 0 into 0
23.345 * [backup-simplify]: Simplify 0 into 0
23.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.347 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.353 * [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
23.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
23.354 * [backup-simplify]: Simplify (+ 0 0) into 0
23.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
23.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
23.359 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
23.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
23.367 * [taylor]: Taking taylor expansion of 0 in k
23.367 * [backup-simplify]: Simplify 0 into 0
23.367 * [backup-simplify]: Simplify 0 into 0
23.369 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
23.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
23.370 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
23.370 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
23.370 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.370 * [taylor]: Taking taylor expansion of 2 in n
23.370 * [backup-simplify]: Simplify 2 into 2
23.370 * [taylor]: Taking taylor expansion of (* n PI) in n
23.370 * [taylor]: Taking taylor expansion of n in n
23.370 * [backup-simplify]: Simplify 0 into 0
23.370 * [backup-simplify]: Simplify 1 into 1
23.370 * [taylor]: Taking taylor expansion of PI in n
23.370 * [backup-simplify]: Simplify PI into PI
23.370 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.370 * [taylor]: Taking taylor expansion of 2 in n
23.370 * [backup-simplify]: Simplify 2 into 2
23.370 * [taylor]: Taking taylor expansion of (* n PI) in n
23.370 * [taylor]: Taking taylor expansion of n in n
23.370 * [backup-simplify]: Simplify 0 into 0
23.370 * [backup-simplify]: Simplify 1 into 1
23.370 * [taylor]: Taking taylor expansion of PI in n
23.370 * [backup-simplify]: Simplify PI into PI
23.371 * [backup-simplify]: Simplify (* 0 PI) into 0
23.371 * [backup-simplify]: Simplify (* 2 0) into 0
23.371 * [backup-simplify]: Simplify 0 into 0
23.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.374 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
23.375 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
23.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
23.377 * [backup-simplify]: Simplify 0 into 0
23.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
23.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
23.379 * [backup-simplify]: Simplify 0 into 0
23.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.381 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
23.381 * [backup-simplify]: Simplify 0 into 0
23.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
23.383 * [backup-simplify]: Simplify 0 into 0
23.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
23.385 * [backup-simplify]: Simplify 0 into 0
23.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
23.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
23.387 * [backup-simplify]: Simplify 0 into 0
23.387 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
23.387 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
23.387 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
23.387 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.387 * [taylor]: Taking taylor expansion of 2 in n
23.387 * [backup-simplify]: Simplify 2 into 2
23.387 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.387 * [taylor]: Taking taylor expansion of PI in n
23.387 * [backup-simplify]: Simplify PI into PI
23.387 * [taylor]: Taking taylor expansion of n in n
23.387 * [backup-simplify]: Simplify 0 into 0
23.387 * [backup-simplify]: Simplify 1 into 1
23.388 * [backup-simplify]: Simplify (/ PI 1) into PI
23.388 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.388 * [taylor]: Taking taylor expansion of 2 in n
23.388 * [backup-simplify]: Simplify 2 into 2
23.388 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.388 * [taylor]: Taking taylor expansion of PI in n
23.388 * [backup-simplify]: Simplify PI into PI
23.388 * [taylor]: Taking taylor expansion of n in n
23.388 * [backup-simplify]: Simplify 0 into 0
23.388 * [backup-simplify]: Simplify 1 into 1
23.388 * [backup-simplify]: Simplify (/ PI 1) into PI
23.389 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.389 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.390 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
23.390 * [backup-simplify]: Simplify 0 into 0
23.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.391 * [backup-simplify]: Simplify 0 into 0
23.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.392 * [backup-simplify]: Simplify 0 into 0
23.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.394 * [backup-simplify]: Simplify 0 into 0
23.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.395 * [backup-simplify]: Simplify 0 into 0
23.396 * [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
23.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.397 * [backup-simplify]: Simplify 0 into 0
23.397 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
23.397 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
23.398 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
23.398 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.398 * [taylor]: Taking taylor expansion of -2 in n
23.398 * [backup-simplify]: Simplify -2 into -2
23.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.398 * [taylor]: Taking taylor expansion of PI in n
23.398 * [backup-simplify]: Simplify PI into PI
23.398 * [taylor]: Taking taylor expansion of n in n
23.398 * [backup-simplify]: Simplify 0 into 0
23.398 * [backup-simplify]: Simplify 1 into 1
23.398 * [backup-simplify]: Simplify (/ PI 1) into PI
23.398 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.398 * [taylor]: Taking taylor expansion of -2 in n
23.398 * [backup-simplify]: Simplify -2 into -2
23.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.398 * [taylor]: Taking taylor expansion of PI in n
23.398 * [backup-simplify]: Simplify PI into PI
23.398 * [taylor]: Taking taylor expansion of n in n
23.398 * [backup-simplify]: Simplify 0 into 0
23.398 * [backup-simplify]: Simplify 1 into 1
23.398 * [backup-simplify]: Simplify (/ PI 1) into PI
23.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.400 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
23.400 * [backup-simplify]: Simplify 0 into 0
23.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.401 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
23.401 * [backup-simplify]: Simplify 0 into 0
23.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.403 * [backup-simplify]: Simplify 0 into 0
23.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.405 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.405 * [backup-simplify]: Simplify 0 into 0
23.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.406 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.406 * [backup-simplify]: Simplify 0 into 0
23.407 * [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
23.408 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.408 * [backup-simplify]: Simplify 0 into 0
23.409 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
23.409 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1)
23.409 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
23.409 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
23.409 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.409 * [taylor]: Taking taylor expansion of 2 in n
23.409 * [backup-simplify]: Simplify 2 into 2
23.410 * [taylor]: Taking taylor expansion of (* n PI) in n
23.410 * [taylor]: Taking taylor expansion of n in n
23.410 * [backup-simplify]: Simplify 0 into 0
23.410 * [backup-simplify]: Simplify 1 into 1
23.410 * [taylor]: Taking taylor expansion of PI in n
23.410 * [backup-simplify]: Simplify PI into PI
23.410 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
23.410 * [taylor]: Taking taylor expansion of 2 in n
23.410 * [backup-simplify]: Simplify 2 into 2
23.410 * [taylor]: Taking taylor expansion of (* n PI) in n
23.410 * [taylor]: Taking taylor expansion of n in n
23.410 * [backup-simplify]: Simplify 0 into 0
23.410 * [backup-simplify]: Simplify 1 into 1
23.410 * [taylor]: Taking taylor expansion of PI in n
23.410 * [backup-simplify]: Simplify PI into PI
23.410 * [backup-simplify]: Simplify (* 0 PI) into 0
23.411 * [backup-simplify]: Simplify (* 2 0) into 0
23.411 * [backup-simplify]: Simplify 0 into 0
23.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
23.414 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
23.415 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
23.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
23.417 * [backup-simplify]: Simplify 0 into 0
23.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
23.419 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
23.419 * [backup-simplify]: Simplify 0 into 0
23.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
23.422 * [backup-simplify]: Simplify 0 into 0
23.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
23.425 * [backup-simplify]: Simplify 0 into 0
23.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
23.428 * [backup-simplify]: Simplify 0 into 0
23.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
23.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
23.433 * [backup-simplify]: Simplify 0 into 0
23.433 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
23.434 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
23.434 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
23.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.434 * [taylor]: Taking taylor expansion of 2 in n
23.434 * [backup-simplify]: Simplify 2 into 2
23.434 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.434 * [taylor]: Taking taylor expansion of PI in n
23.434 * [backup-simplify]: Simplify PI into PI
23.434 * [taylor]: Taking taylor expansion of n in n
23.434 * [backup-simplify]: Simplify 0 into 0
23.434 * [backup-simplify]: Simplify 1 into 1
23.434 * [backup-simplify]: Simplify (/ PI 1) into PI
23.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
23.435 * [taylor]: Taking taylor expansion of 2 in n
23.435 * [backup-simplify]: Simplify 2 into 2
23.435 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.435 * [taylor]: Taking taylor expansion of PI in n
23.435 * [backup-simplify]: Simplify PI into PI
23.435 * [taylor]: Taking taylor expansion of n in n
23.435 * [backup-simplify]: Simplify 0 into 0
23.435 * [backup-simplify]: Simplify 1 into 1
23.435 * [backup-simplify]: Simplify (/ PI 1) into PI
23.436 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.436 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
23.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
23.438 * [backup-simplify]: Simplify 0 into 0
23.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
23.440 * [backup-simplify]: Simplify 0 into 0
23.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.442 * [backup-simplify]: Simplify 0 into 0
23.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.445 * [backup-simplify]: Simplify 0 into 0
23.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.447 * [backup-simplify]: Simplify 0 into 0
23.448 * [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
23.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.449 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
23.450 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
23.450 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
23.450 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.450 * [taylor]: Taking taylor expansion of -2 in n
23.450 * [backup-simplify]: Simplify -2 into -2
23.450 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.450 * [taylor]: Taking taylor expansion of PI in n
23.450 * [backup-simplify]: Simplify PI into PI
23.450 * [taylor]: Taking taylor expansion of n in n
23.450 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify 1 into 1
23.450 * [backup-simplify]: Simplify (/ PI 1) into PI
23.450 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
23.450 * [taylor]: Taking taylor expansion of -2 in n
23.450 * [backup-simplify]: Simplify -2 into -2
23.450 * [taylor]: Taking taylor expansion of (/ PI n) in n
23.450 * [taylor]: Taking taylor expansion of PI in n
23.450 * [backup-simplify]: Simplify PI into PI
23.450 * [taylor]: Taking taylor expansion of n in n
23.450 * [backup-simplify]: Simplify 0 into 0
23.450 * [backup-simplify]: Simplify 1 into 1
23.451 * [backup-simplify]: Simplify (/ PI 1) into PI
23.451 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.451 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
23.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
23.452 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
23.452 * [backup-simplify]: Simplify 0 into 0
23.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.454 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
23.454 * [backup-simplify]: Simplify 0 into 0
23.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.455 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
23.455 * [backup-simplify]: Simplify 0 into 0
23.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.456 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
23.456 * [backup-simplify]: Simplify 0 into 0
23.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
23.458 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
23.458 * [backup-simplify]: Simplify 0 into 0
23.458 * [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
23.459 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
23.459 * [backup-simplify]: Simplify 0 into 0
23.460 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
23.460 * * * [progress]: simplifying candidates
23.460 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.460 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.460 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))))>
23.460 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))))>
23.460 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))))>
23.460 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))))>
23.461 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))))>
23.461 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))))>
23.461 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))>
23.461 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))))>
23.461 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))))>
23.461 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))))>
23.461 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))))>
23.461 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))>
23.461 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))>
23.461 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))>
23.461 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))))>
23.461 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))))>
23.461 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))))>
23.461 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))))>
23.462 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))))>
23.462 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 40 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))))>
23.462 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))))>
23.462 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))))>
23.462 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.462 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.463 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.464 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 100 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 121 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.465 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))))>
23.466 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))))>
23.466 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))>
23.466 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.466 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
23.467 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* (* 2 PI) n) (/ 1 2)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* (* 2 PI) n) (/ 1 2)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI))
23.470 * * [simplify]: iteration 1: (162 enodes)
23.551 * * [simplify]: iteration 2: (742 enodes)
23.825 * * [simplify]: Extracting #0: cost 47 inf + 0
23.827 * * [simplify]: Extracting #1: cost 332 inf + 0
23.831 * * [simplify]: Extracting #2: cost 706 inf + 3767
23.843 * * [simplify]: Extracting #3: cost 670 inf + 32085
23.872 * * [simplify]: Extracting #4: cost 405 inf + 110561
23.917 * * [simplify]: Extracting #5: cost 106 inf + 245888
23.998 * * [simplify]: Extracting #6: cost 34 inf + 277880
24.076 * * [simplify]: Extracting #7: cost 5 inf + 287148
24.133 * * [simplify]: Extracting #8: cost 0 inf + 289324
24.207 * [simplify]: Simplified to (expm1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (log1p (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (sqrt (* (* n PI) 2)), (pow (* (* n PI) 2) (/ k 2)), (pow (* (* n PI) 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* (* n PI) 2) (sqrt (- 1/2 (/ k 2)))), (pow (* (* n PI) 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* n PI) 2) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))), (pow (* (* n PI) 2) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* n PI) 2) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* n PI) 2) (sqrt (- 1 k))), (pow (* (* n PI) 2) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* n PI) 2) (+ (sqrt k) 1)), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* n PI) 2) (+ (sqrt k) 1)), (pow (* (* n PI) 2) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (* (* n PI) 2), (pow (* (* n PI) 2) (- 1 k)), (pow (* 2 PI) (- 1/2 (/ k 2))), (pow n (- 1/2 (/ k 2))), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (exp (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))), (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (* (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (pow (* (* n PI) 2) (- 1/4 (/ k 4))), (pow (* (* n PI) 2) (- 1/4 (/ k 4))), (real->posit16 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (expm1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (log1p (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (- 1/2 (/ k 2)), (sqrt (* (* n PI) 2)), (pow (* (* n PI) 2) (/ k 2)), (pow (* (* n PI) 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))), (pow (* (* n PI) 2) (sqrt (- 1/2 (/ k 2)))), (pow (* (* n PI) 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* n PI) 2) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))), (pow (* (* n PI) 2) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* n PI) 2) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* n PI) 2) (sqrt (- 1 k))), (pow (* (* n PI) 2) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* n PI) 2) (+ (sqrt k) 1)), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* n PI) 2) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* n PI) 2) (+ (sqrt k) 1)), (pow (* (* n PI) 2) (/ (/ 1 (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (* (* n PI) 2), (pow (* (* n PI) 2) (- 1 k)), (pow (* 2 PI) (- 1/2 (/ k 2))), (pow n (- 1/2 (/ k 2))), (/ (* (log (* (* n PI) 2)) (- 1 k)) 2), (exp (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))), (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (* (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (pow (* (* n PI) 2) (- 1/4 (/ k 4))), (pow (* (* n PI) 2) (- 1/4 (/ k 4))), (real->posit16 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))), (expm1 (* (* n PI) 2)), (log1p (* (* n PI) 2)), (* (* n PI) 2), (* (* n PI) 2), (log (* (* n PI) 2)), (log (* (* n PI) 2)), (log (* (* n PI) 2)), (* (exp (* n PI)) (exp (* n PI))), (* (* (* 8 PI) (* PI PI)) (* (* n n) n)), (* (* (* n PI) 2) (* (* (* n PI) 2) (* (* n PI) 2))), (* (cbrt (* (* n PI) 2)) (cbrt (* (* n PI) 2))), (cbrt (* (* n PI) 2)), (* (* (* n PI) 2) (* (* (* n PI) 2) (* (* n PI) 2))), (sqrt (* (* n PI) 2)), (sqrt (* (* n PI) 2)), (* PI (* 2 (* (cbrt n) (cbrt n)))), (* (* PI (sqrt n)) 2), (* 2 PI), (* n PI), (real->posit16 (* (* n PI) 2)), (expm1 (* (* n PI) 2)), (log1p (* (* n PI) 2)), (* (* n PI) 2), (* (* n PI) 2), (log (* (* n PI) 2)), (log (* (* n PI) 2)), (log (* (* n PI) 2)), (* (exp (* n PI)) (exp (* n PI))), (* (* (* 8 PI) (* PI PI)) (* (* n n) n)), (* (* (* n PI) 2) (* (* (* n PI) 2) (* (* n PI) 2))), (* (cbrt (* (* n PI) 2)) (cbrt (* (* n PI) 2))), (cbrt (* (* n PI) 2)), (* (* (* n PI) 2) (* (* (* n PI) 2) (* (* n PI) 2))), (sqrt (* (* n PI) 2)), (sqrt (* (* n PI) 2)), (* PI (* 2 (* (cbrt n) (cbrt n)))), (* (* PI (sqrt n)) 2), (* 2 PI), (* n PI), (real->posit16 (* (* n PI) 2)), (fma (* 1/4 (log (* 2 PI))) (* (log n) (* (exp (* 1/2 (log (* (* n PI) 2)))) (* k k))) (- (fma (* (* (* (log n) k) (* (log n) k)) (exp (* 1/2 (log (* (* n PI) 2))))) 1/8 (fma (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* 1/2 (log (* (* n PI) 2)))) (* k k)) (exp (* 1/2 (log (* (* n PI) 2)))))) (* (fma (exp (* 1/2 (log (* (* n PI) 2)))) (* (log n) k) (* (* (log (* 2 PI)) k) (exp (* 1/2 (log (* (* n PI) 2)))))) 1/2))), (exp (* (* 1/2 (log (* (* n PI) 2))) (- 1 k))), (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))), (fma (* 1/4 (log (* 2 PI))) (* (log n) (* (exp (* 1/2 (log (* (* n PI) 2)))) (* k k))) (- (fma (* (* (* (log n) k) (* (log n) k)) (exp (* 1/2 (log (* (* n PI) 2))))) 1/8 (fma (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* 1/2 (log (* (* n PI) 2)))) (* k k)) (exp (* 1/2 (log (* (* n PI) 2)))))) (* (fma (exp (* 1/2 (log (* (* n PI) 2)))) (* (log n) k) (* (* (log (* 2 PI)) k) (exp (* 1/2 (log (* (* n PI) 2)))))) 1/2))), (exp (* (* 1/2 (log (* (* n PI) 2))) (- 1 k))), (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))), (* (* n PI) 2), (* (* n PI) 2), (* (* n PI) 2), (* (* n PI) 2), (* (* n PI) 2), (* (* n PI) 2)
24.219 * * * [progress]: adding candidates to table
26.208 * [progress]: [Phase 3 of 3] Extracting.
26.209 * * [regime]: Finding splitpoints for: (#<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)))))> #<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)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))>)
26.210 * * * [regime-changes]: Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
26.210 * * * * [regimes]: Trying to branch on n from (#<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)))))> #<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)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))>)
26.255 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<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)))))> #<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)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))>)
26.319 * * * * [regimes]: Trying to branch on k from (#<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)))))> #<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)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))>)
26.408 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (#<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)))))> #<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)))))> #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (sqrt (* (* 2 PI) n)) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))>)
26.495 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
26.495 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))
26.495 * * [simplify]: iteration 1: (15 enodes)
26.497 * * [simplify]: iteration 2: (20 enodes)
26.498 * * [simplify]: Extracting #0: cost 1 inf + 0
26.498 * * [simplify]: Extracting #1: cost 3 inf + 0
26.498 * * [simplify]: Extracting #2: cost 6 inf + 0
26.498 * * [simplify]: Extracting #3: cost 8 inf + 1
26.498 * * [simplify]: Extracting #4: cost 9 inf + 125
26.498 * * [simplify]: Extracting #5: cost 9 inf + 127
26.498 * * [simplify]: Extracting #6: cost 7 inf + 170
26.499 * * [simplify]: Extracting #7: cost 3 inf + 501
26.499 * * [simplify]: Extracting #8: cost 1 inf + 1371
26.499 * * [simplify]: Extracting #9: cost 0 inf + 1946
26.499 * [simplify]: Simplified to (* (/ 1 (sqrt k)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
34.968 * [regime-testing]: Baseline error score: 0.4796720639002131
34.970 * [regime-testing]: Oracle error score: 0.03998091697987968
34.975 * [regime-testing]: End program error score: 0.4796720639002131