55.569 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.120 * * * [progress]: [2/2] Setting up program.
0.124 * [progress]: [Phase 2 of 3] Improving.
0.124 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.124 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.124 * * [simplify]: iteration 0: 13 enodes
0.128 * * [simplify]: iteration 1: 31 enodes
0.138 * * [simplify]: iteration 2: 62 enodes
0.157 * * [simplify]: iteration 3: 124 enodes
0.219 * * [simplify]: iteration 4: 328 enodes
0.839 * * [simplify]: iteration 5: 970 enodes
2.075 * * [simplify]: iteration 6: 2753 enodes
3.275 * * [simplify]: iteration complete: 5000 enodes
3.275 * * [simplify]: Extracting #0: cost 1 inf + 0
3.276 * * [simplify]: Extracting #1: cost 218 inf + 0
3.280 * * [simplify]: Extracting #2: cost 583 inf + 1
3.292 * * [simplify]: Extracting #3: cost 872 inf + 91
3.302 * * [simplify]: Extracting #4: cost 882 inf + 7092
3.323 * * [simplify]: Extracting #5: cost 661 inf + 35266
3.391 * * [simplify]: Extracting #6: cost 372 inf + 225053
3.560 * * [simplify]: Extracting #7: cost 38 inf + 563892
3.742 * * [simplify]: Extracting #8: cost 0 inf + 582786
3.898 * * [simplify]: Extracting #9: cost 0 inf + 575286
4.043 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
4.051 * * [progress]: iteration 1 / 4
4.051 * * * [progress]: picking best candidate
4.058 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
4.058 * * * [progress]: localizing error
4.084 * * * [progress]: generating rewritten candidates
4.084 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
4.119 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
4.153 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
4.258 * * * [progress]: generating series expansions
4.258 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
4.258 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
4.258 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
4.258 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
4.258 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
4.258 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
4.258 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.258 * [taylor]: Taking taylor expansion of 1/2 in k
4.258 * [backup-simplify]: Simplify 1/2 into 1/2
4.258 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.258 * [taylor]: Taking taylor expansion of 1/2 in k
4.258 * [backup-simplify]: Simplify 1/2 into 1/2
4.258 * [taylor]: Taking taylor expansion of k in k
4.258 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify 1 into 1
4.258 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.258 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.258 * [taylor]: Taking taylor expansion of 2 in k
4.258 * [backup-simplify]: Simplify 2 into 2
4.258 * [taylor]: Taking taylor expansion of (* n PI) in k
4.258 * [taylor]: Taking taylor expansion of n in k
4.258 * [backup-simplify]: Simplify n into n
4.258 * [taylor]: Taking taylor expansion of PI in k
4.258 * [backup-simplify]: Simplify PI into PI
4.259 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.259 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.259 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.259 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.260 * [backup-simplify]: Simplify (- 0) into 0
4.260 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.260 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.260 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.260 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
4.260 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
4.260 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
4.260 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.260 * [taylor]: Taking taylor expansion of 1/2 in n
4.260 * [backup-simplify]: Simplify 1/2 into 1/2
4.260 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.260 * [taylor]: Taking taylor expansion of 1/2 in n
4.260 * [backup-simplify]: Simplify 1/2 into 1/2
4.260 * [taylor]: Taking taylor expansion of k in n
4.260 * [backup-simplify]: Simplify k into k
4.260 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.260 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.260 * [taylor]: Taking taylor expansion of 2 in n
4.260 * [backup-simplify]: Simplify 2 into 2
4.260 * [taylor]: Taking taylor expansion of (* n PI) in n
4.260 * [taylor]: Taking taylor expansion of n in n
4.260 * [backup-simplify]: Simplify 0 into 0
4.260 * [backup-simplify]: Simplify 1 into 1
4.260 * [taylor]: Taking taylor expansion of PI in n
4.260 * [backup-simplify]: Simplify PI into PI
4.261 * [backup-simplify]: Simplify (* 0 PI) into 0
4.261 * [backup-simplify]: Simplify (* 2 0) into 0
4.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.263 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.264 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.264 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.264 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.264 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.265 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
4.266 * [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)))))
4.266 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
4.266 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
4.266 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
4.266 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.266 * [taylor]: Taking taylor expansion of 1/2 in n
4.266 * [backup-simplify]: Simplify 1/2 into 1/2
4.266 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.266 * [taylor]: Taking taylor expansion of 1/2 in n
4.266 * [backup-simplify]: Simplify 1/2 into 1/2
4.266 * [taylor]: Taking taylor expansion of k in n
4.266 * [backup-simplify]: Simplify k into k
4.266 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.266 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.266 * [taylor]: Taking taylor expansion of 2 in n
4.266 * [backup-simplify]: Simplify 2 into 2
4.266 * [taylor]: Taking taylor expansion of (* n PI) in n
4.266 * [taylor]: Taking taylor expansion of n in n
4.266 * [backup-simplify]: Simplify 0 into 0
4.267 * [backup-simplify]: Simplify 1 into 1
4.267 * [taylor]: Taking taylor expansion of PI in n
4.267 * [backup-simplify]: Simplify PI into PI
4.267 * [backup-simplify]: Simplify (* 0 PI) into 0
4.267 * [backup-simplify]: Simplify (* 2 0) into 0
4.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.269 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.270 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.270 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.270 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.270 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.272 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
4.273 * [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)))))
4.273 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
4.273 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
4.273 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.273 * [taylor]: Taking taylor expansion of 1/2 in k
4.273 * [backup-simplify]: Simplify 1/2 into 1/2
4.273 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.273 * [taylor]: Taking taylor expansion of 1/2 in k
4.273 * [backup-simplify]: Simplify 1/2 into 1/2
4.273 * [taylor]: Taking taylor expansion of k in k
4.273 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify 1 into 1
4.273 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.273 * [taylor]: Taking taylor expansion of (log n) in k
4.273 * [taylor]: Taking taylor expansion of n in k
4.273 * [backup-simplify]: Simplify n into n
4.273 * [backup-simplify]: Simplify (log n) into (log n)
4.273 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.273 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.273 * [taylor]: Taking taylor expansion of 2 in k
4.273 * [backup-simplify]: Simplify 2 into 2
4.273 * [taylor]: Taking taylor expansion of PI in k
4.273 * [backup-simplify]: Simplify PI into PI
4.273 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.274 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.274 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.274 * [backup-simplify]: Simplify (- 0) into 0
4.275 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.275 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.276 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.277 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.277 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
4.280 * [backup-simplify]: Simplify (- 0) into 0
4.281 * [backup-simplify]: Simplify (+ 0 0) into 0
4.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.282 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.283 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.283 * [taylor]: Taking taylor expansion of 0 in k
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.284 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.286 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.286 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.287 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
4.290 * [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)))))))
4.291 * [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)))))))
4.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.295 * [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
4.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
4.296 * [backup-simplify]: Simplify (- 0) into 0
4.296 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.298 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.299 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.299 * [taylor]: Taking taylor expansion of 0 in k
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 0 into 0
4.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.304 * [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
4.304 * [backup-simplify]: Simplify (+ 0 0) into 0
4.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.306 * [backup-simplify]: Simplify (- 0) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.313 * [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)))))
4.318 * [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)))))
4.329 * [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)))))
4.329 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
4.329 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
4.329 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
4.329 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.329 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.329 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.329 * [taylor]: Taking taylor expansion of 1/2 in k
4.330 * [backup-simplify]: Simplify 1/2 into 1/2
4.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.330 * [taylor]: Taking taylor expansion of 1/2 in k
4.330 * [backup-simplify]: Simplify 1/2 into 1/2
4.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.330 * [taylor]: Taking taylor expansion of k in k
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 1 into 1
4.330 * [backup-simplify]: Simplify (/ 1 1) into 1
4.330 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.330 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.330 * [taylor]: Taking taylor expansion of 2 in k
4.330 * [backup-simplify]: Simplify 2 into 2
4.330 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.330 * [taylor]: Taking taylor expansion of PI in k
4.330 * [backup-simplify]: Simplify PI into PI
4.330 * [taylor]: Taking taylor expansion of n in k
4.330 * [backup-simplify]: Simplify n into n
4.330 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.331 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.331 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.331 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.331 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.332 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.332 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.332 * [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))))
4.332 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.332 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.332 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.333 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.333 * [taylor]: Taking taylor expansion of 1/2 in n
4.333 * [backup-simplify]: Simplify 1/2 into 1/2
4.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.333 * [taylor]: Taking taylor expansion of 1/2 in n
4.333 * [backup-simplify]: Simplify 1/2 into 1/2
4.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.333 * [taylor]: Taking taylor expansion of k in n
4.333 * [backup-simplify]: Simplify k into k
4.333 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.333 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.333 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.333 * [taylor]: Taking taylor expansion of 2 in n
4.333 * [backup-simplify]: Simplify 2 into 2
4.333 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.333 * [taylor]: Taking taylor expansion of PI in n
4.333 * [backup-simplify]: Simplify PI into PI
4.333 * [taylor]: Taking taylor expansion of n in n
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (/ PI 1) into PI
4.334 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.335 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.335 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.336 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.336 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.338 * [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)))
4.340 * [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))))
4.340 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.340 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.340 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.340 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.340 * [taylor]: Taking taylor expansion of 1/2 in n
4.340 * [backup-simplify]: Simplify 1/2 into 1/2
4.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.340 * [taylor]: Taking taylor expansion of 1/2 in n
4.340 * [backup-simplify]: Simplify 1/2 into 1/2
4.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.340 * [taylor]: Taking taylor expansion of k in n
4.340 * [backup-simplify]: Simplify k into k
4.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.340 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.340 * [taylor]: Taking taylor expansion of 2 in n
4.340 * [backup-simplify]: Simplify 2 into 2
4.340 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.340 * [taylor]: Taking taylor expansion of PI in n
4.340 * [backup-simplify]: Simplify PI into PI
4.340 * [taylor]: Taking taylor expansion of n in n
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.341 * [backup-simplify]: Simplify (/ PI 1) into PI
4.342 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.343 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.343 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.343 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.343 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.346 * [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)))
4.348 * [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))))
4.348 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
4.348 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
4.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.348 * [taylor]: Taking taylor expansion of 1/2 in k
4.348 * [backup-simplify]: Simplify 1/2 into 1/2
4.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.348 * [taylor]: Taking taylor expansion of 1/2 in k
4.348 * [backup-simplify]: Simplify 1/2 into 1/2
4.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.348 * [taylor]: Taking taylor expansion of k in k
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.349 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.349 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.349 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.349 * [taylor]: Taking taylor expansion of 2 in k
4.349 * [backup-simplify]: Simplify 2 into 2
4.349 * [taylor]: Taking taylor expansion of PI in k
4.349 * [backup-simplify]: Simplify PI into PI
4.350 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.351 * [taylor]: Taking taylor expansion of (log n) in k
4.351 * [taylor]: Taking taylor expansion of n in k
4.351 * [backup-simplify]: Simplify n into n
4.351 * [backup-simplify]: Simplify (log n) into (log n)
4.351 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.352 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.352 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.352 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.354 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.355 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.356 * [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))))
4.357 * [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))))
4.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.359 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.362 * [backup-simplify]: Simplify (- 0) into 0
4.362 * [backup-simplify]: Simplify (+ 0 0) into 0
4.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.365 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.367 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.367 * [taylor]: Taking taylor expansion of 0 in k
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.378 * [backup-simplify]: Simplify (- 0) into 0
4.379 * [backup-simplify]: Simplify (+ 0 0) into 0
4.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.382 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.384 * [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
4.385 * [taylor]: Taking taylor expansion of 0 in k
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.393 * [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
4.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
4.395 * [backup-simplify]: Simplify (- 0) into 0
4.396 * [backup-simplify]: Simplify (+ 0 0) into 0
4.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.399 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.402 * [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
4.402 * [taylor]: Taking taylor expansion of 0 in k
4.402 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify 0 into 0
4.403 * [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)))))
4.404 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
4.404 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
4.404 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
4.404 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
4.404 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
4.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.404 * [taylor]: Taking taylor expansion of 1/2 in k
4.404 * [backup-simplify]: Simplify 1/2 into 1/2
4.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.404 * [taylor]: Taking taylor expansion of k in k
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.405 * [backup-simplify]: Simplify (/ 1 1) into 1
4.405 * [taylor]: Taking taylor expansion of 1/2 in k
4.405 * [backup-simplify]: Simplify 1/2 into 1/2
4.405 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.405 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.405 * [taylor]: Taking taylor expansion of -2 in k
4.405 * [backup-simplify]: Simplify -2 into -2
4.405 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.405 * [taylor]: Taking taylor expansion of PI in k
4.405 * [backup-simplify]: Simplify PI into PI
4.405 * [taylor]: Taking taylor expansion of n in k
4.405 * [backup-simplify]: Simplify n into n
4.405 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.405 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.405 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.406 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.406 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.407 * [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)))
4.407 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.407 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.407 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.407 * [taylor]: Taking taylor expansion of 1/2 in n
4.407 * [backup-simplify]: Simplify 1/2 into 1/2
4.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.407 * [taylor]: Taking taylor expansion of k in n
4.407 * [backup-simplify]: Simplify k into k
4.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.407 * [taylor]: Taking taylor expansion of 1/2 in n
4.407 * [backup-simplify]: Simplify 1/2 into 1/2
4.407 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.407 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.407 * [taylor]: Taking taylor expansion of -2 in n
4.407 * [backup-simplify]: Simplify -2 into -2
4.407 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.407 * [taylor]: Taking taylor expansion of PI in n
4.407 * [backup-simplify]: Simplify PI into PI
4.407 * [taylor]: Taking taylor expansion of n in n
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 1 into 1
4.408 * [backup-simplify]: Simplify (/ PI 1) into PI
4.408 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.410 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.410 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.410 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.413 * [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)))
4.414 * [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))))
4.414 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.414 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.414 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.414 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.414 * [taylor]: Taking taylor expansion of 1/2 in n
4.414 * [backup-simplify]: Simplify 1/2 into 1/2
4.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.414 * [taylor]: Taking taylor expansion of k in n
4.414 * [backup-simplify]: Simplify k into k
4.414 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.414 * [taylor]: Taking taylor expansion of 1/2 in n
4.414 * [backup-simplify]: Simplify 1/2 into 1/2
4.414 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.414 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.414 * [taylor]: Taking taylor expansion of -2 in n
4.414 * [backup-simplify]: Simplify -2 into -2
4.414 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.415 * [taylor]: Taking taylor expansion of PI in n
4.415 * [backup-simplify]: Simplify PI into PI
4.415 * [taylor]: Taking taylor expansion of n in n
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.415 * [backup-simplify]: Simplify (/ PI 1) into PI
4.416 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.417 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.417 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.417 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.420 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
4.421 * [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))))
4.421 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
4.421 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
4.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.421 * [taylor]: Taking taylor expansion of 1/2 in k
4.422 * [backup-simplify]: Simplify 1/2 into 1/2
4.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.422 * [taylor]: Taking taylor expansion of k in k
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify 1 into 1
4.422 * [backup-simplify]: Simplify (/ 1 1) into 1
4.422 * [taylor]: Taking taylor expansion of 1/2 in k
4.422 * [backup-simplify]: Simplify 1/2 into 1/2
4.422 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.422 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.422 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.422 * [taylor]: Taking taylor expansion of -2 in k
4.422 * [backup-simplify]: Simplify -2 into -2
4.422 * [taylor]: Taking taylor expansion of PI in k
4.422 * [backup-simplify]: Simplify PI into PI
4.423 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.424 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.424 * [taylor]: Taking taylor expansion of (log n) in k
4.424 * [taylor]: Taking taylor expansion of n in k
4.424 * [backup-simplify]: Simplify n into n
4.424 * [backup-simplify]: Simplify (log n) into (log n)
4.424 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.425 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.425 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.426 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.427 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.429 * [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))))
4.430 * [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))))
4.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.432 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.435 * [backup-simplify]: Simplify (+ 0 0) into 0
4.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.438 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.439 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.439 * [taylor]: Taking taylor expansion of 0 in k
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.440 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.442 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.443 * [backup-simplify]: Simplify (+ 0 0) into 0
4.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.445 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.447 * [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
4.447 * [taylor]: Taking taylor expansion of 0 in k
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.448 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.452 * [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
4.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
4.453 * [backup-simplify]: Simplify (+ 0 0) into 0
4.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.455 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
4.457 * [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
4.457 * [taylor]: Taking taylor expansion of 0 in k
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [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)))))
4.458 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
4.458 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
4.458 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
4.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.458 * [taylor]: Taking taylor expansion of 2 in n
4.458 * [backup-simplify]: Simplify 2 into 2
4.458 * [taylor]: Taking taylor expansion of (* n PI) in n
4.458 * [taylor]: Taking taylor expansion of n in n
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [taylor]: Taking taylor expansion of PI in n
4.458 * [backup-simplify]: Simplify PI into PI
4.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.458 * [taylor]: Taking taylor expansion of 2 in n
4.458 * [backup-simplify]: Simplify 2 into 2
4.458 * [taylor]: Taking taylor expansion of (* n PI) in n
4.458 * [taylor]: Taking taylor expansion of n in n
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [taylor]: Taking taylor expansion of PI in n
4.458 * [backup-simplify]: Simplify PI into PI
4.458 * [backup-simplify]: Simplify (* 0 PI) into 0
4.459 * [backup-simplify]: Simplify (* 2 0) into 0
4.459 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.461 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.461 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.462 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.464 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
4.466 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
4.467 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
4.469 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
4.472 * [backup-simplify]: Simplify 0 into 0
4.472 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.472 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
4.472 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
4.472 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.472 * [taylor]: Taking taylor expansion of 2 in n
4.472 * [backup-simplify]: Simplify 2 into 2
4.472 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.472 * [taylor]: Taking taylor expansion of PI in n
4.472 * [backup-simplify]: Simplify PI into PI
4.472 * [taylor]: Taking taylor expansion of n in n
4.472 * [backup-simplify]: Simplify 0 into 0
4.472 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (/ PI 1) into PI
4.473 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.473 * [taylor]: Taking taylor expansion of 2 in n
4.473 * [backup-simplify]: Simplify 2 into 2
4.473 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.473 * [taylor]: Taking taylor expansion of PI in n
4.473 * [backup-simplify]: Simplify PI into PI
4.473 * [taylor]: Taking taylor expansion of n in n
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (/ PI 1) into PI
4.473 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.474 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.475 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.476 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.481 * [backup-simplify]: Simplify 0 into 0
4.482 * [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
4.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
4.483 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
4.483 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
4.483 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.483 * [taylor]: Taking taylor expansion of -2 in n
4.483 * [backup-simplify]: Simplify -2 into -2
4.483 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.483 * [taylor]: Taking taylor expansion of PI in n
4.483 * [backup-simplify]: Simplify PI into PI
4.483 * [taylor]: Taking taylor expansion of n in n
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.484 * [backup-simplify]: Simplify (/ PI 1) into PI
4.484 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.484 * [taylor]: Taking taylor expansion of -2 in n
4.484 * [backup-simplify]: Simplify -2 into -2
4.484 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.484 * [taylor]: Taking taylor expansion of PI in n
4.484 * [backup-simplify]: Simplify PI into PI
4.484 * [taylor]: Taking taylor expansion of n in n
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [backup-simplify]: Simplify (/ PI 1) into PI
4.484 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.485 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.486 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.487 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.488 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.488 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.492 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.492 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.494 * [backup-simplify]: Simplify 0 into 0
4.495 * [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
4.496 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.496 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
4.496 * * * * [progress]: [ 3 / 3 ] generating series at (2)
4.497 * [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))))
4.497 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
4.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
4.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.497 * [taylor]: Taking taylor expansion of k in k
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 1 into 1
4.497 * [backup-simplify]: Simplify (/ 1 1) into 1
4.497 * [backup-simplify]: Simplify (sqrt 0) into 0
4.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.498 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
4.499 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
4.499 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
4.499 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.499 * [taylor]: Taking taylor expansion of 1/2 in k
4.499 * [backup-simplify]: Simplify 1/2 into 1/2
4.499 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.499 * [taylor]: Taking taylor expansion of 1/2 in k
4.499 * [backup-simplify]: Simplify 1/2 into 1/2
4.499 * [taylor]: Taking taylor expansion of k in k
4.499 * [backup-simplify]: Simplify 0 into 0
4.499 * [backup-simplify]: Simplify 1 into 1
4.499 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.499 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.499 * [taylor]: Taking taylor expansion of 2 in k
4.499 * [backup-simplify]: Simplify 2 into 2
4.499 * [taylor]: Taking taylor expansion of (* n PI) in k
4.499 * [taylor]: Taking taylor expansion of n in k
4.499 * [backup-simplify]: Simplify n into n
4.499 * [taylor]: Taking taylor expansion of PI in k
4.499 * [backup-simplify]: Simplify PI into PI
4.499 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.499 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.499 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.500 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.500 * [backup-simplify]: Simplify (- 0) into 0
4.500 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.501 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.501 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
4.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
4.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.501 * [taylor]: Taking taylor expansion of k in n
4.501 * [backup-simplify]: Simplify k into k
4.501 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.501 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
4.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
4.501 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
4.501 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
4.501 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
4.501 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.501 * [taylor]: Taking taylor expansion of 1/2 in n
4.501 * [backup-simplify]: Simplify 1/2 into 1/2
4.501 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.501 * [taylor]: Taking taylor expansion of 1/2 in n
4.501 * [backup-simplify]: Simplify 1/2 into 1/2
4.501 * [taylor]: Taking taylor expansion of k in n
4.501 * [backup-simplify]: Simplify k into k
4.501 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.501 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.501 * [taylor]: Taking taylor expansion of 2 in n
4.502 * [backup-simplify]: Simplify 2 into 2
4.502 * [taylor]: Taking taylor expansion of (* n PI) in n
4.502 * [taylor]: Taking taylor expansion of n in n
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 1 into 1
4.502 * [taylor]: Taking taylor expansion of PI in n
4.502 * [backup-simplify]: Simplify PI into PI
4.502 * [backup-simplify]: Simplify (* 0 PI) into 0
4.503 * [backup-simplify]: Simplify (* 2 0) into 0
4.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.506 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.507 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.507 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.507 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.507 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.510 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
4.511 * [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)))))
4.511 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
4.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
4.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.511 * [taylor]: Taking taylor expansion of k in n
4.511 * [backup-simplify]: Simplify k into k
4.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.511 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
4.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
4.512 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
4.512 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
4.512 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
4.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.512 * [taylor]: Taking taylor expansion of 1/2 in n
4.512 * [backup-simplify]: Simplify 1/2 into 1/2
4.512 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.512 * [taylor]: Taking taylor expansion of 1/2 in n
4.512 * [backup-simplify]: Simplify 1/2 into 1/2
4.512 * [taylor]: Taking taylor expansion of k in n
4.512 * [backup-simplify]: Simplify k into k
4.512 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.512 * [taylor]: Taking taylor expansion of 2 in n
4.512 * [backup-simplify]: Simplify 2 into 2
4.512 * [taylor]: Taking taylor expansion of (* n PI) in n
4.512 * [taylor]: Taking taylor expansion of n in n
4.512 * [backup-simplify]: Simplify 0 into 0
4.512 * [backup-simplify]: Simplify 1 into 1
4.512 * [taylor]: Taking taylor expansion of PI in n
4.512 * [backup-simplify]: Simplify PI into PI
4.513 * [backup-simplify]: Simplify (* 0 PI) into 0
4.513 * [backup-simplify]: Simplify (* 2 0) into 0
4.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.517 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.518 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.518 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.518 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.518 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.520 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.521 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
4.522 * [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)))))
4.523 * [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)))
4.523 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
4.524 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
4.524 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
4.524 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.524 * [taylor]: Taking taylor expansion of 1/2 in k
4.524 * [backup-simplify]: Simplify 1/2 into 1/2
4.524 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.524 * [taylor]: Taking taylor expansion of 1/2 in k
4.524 * [backup-simplify]: Simplify 1/2 into 1/2
4.524 * [taylor]: Taking taylor expansion of k in k
4.524 * [backup-simplify]: Simplify 0 into 0
4.524 * [backup-simplify]: Simplify 1 into 1
4.524 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.524 * [taylor]: Taking taylor expansion of (log n) in k
4.524 * [taylor]: Taking taylor expansion of n in k
4.524 * [backup-simplify]: Simplify n into n
4.524 * [backup-simplify]: Simplify (log n) into (log n)
4.524 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.524 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.524 * [taylor]: Taking taylor expansion of 2 in k
4.524 * [backup-simplify]: Simplify 2 into 2
4.524 * [taylor]: Taking taylor expansion of PI in k
4.524 * [backup-simplify]: Simplify PI into PI
4.525 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.526 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.527 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.527 * [backup-simplify]: Simplify (- 0) into 0
4.527 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.529 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.530 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.531 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.532 * [taylor]: Taking taylor expansion of k in k
4.532 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify 1 into 1
4.532 * [backup-simplify]: Simplify (/ 1 1) into 1
4.532 * [backup-simplify]: Simplify (sqrt 0) into 0
4.534 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.535 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
4.535 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
4.540 * [backup-simplify]: Simplify (- 0) into 0
4.541 * [backup-simplify]: Simplify (+ 0 0) into 0
4.542 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.544 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.545 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.547 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
4.547 * [taylor]: Taking taylor expansion of 0 in k
4.547 * [backup-simplify]: Simplify 0 into 0
4.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.549 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.551 * [backup-simplify]: Simplify (+ 0 0) into 0
4.552 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.552 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.553 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
4.558 * [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)))))))
4.563 * [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)))))))
4.564 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.570 * [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
4.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
4.571 * [backup-simplify]: Simplify (- 0) into 0
4.572 * [backup-simplify]: Simplify (+ 0 0) into 0
4.573 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.575 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.577 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
4.580 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
4.580 * [taylor]: Taking taylor expansion of 0 in k
4.580 * [backup-simplify]: Simplify 0 into 0
4.580 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.591 * [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
4.591 * [backup-simplify]: Simplify (+ 0 0) into 0
4.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.593 * [backup-simplify]: Simplify (- 0) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.599 * [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)))))
4.608 * [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))))))))
4.613 * [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))))))))
4.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
4.622 * [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
4.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
4.623 * [backup-simplify]: Simplify (- 0) into 0
4.624 * [backup-simplify]: Simplify (+ 0 0) into 0
4.626 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.628 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
4.630 * [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
4.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
4.634 * [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
4.634 * [taylor]: Taking taylor expansion of 0 in k
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.643 * [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
4.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.647 * [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
4.647 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.648 * [backup-simplify]: Simplify (- 0) into 0
4.648 * [backup-simplify]: Simplify (+ 0 0) into 0
4.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
4.654 * [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)))))))
4.665 * [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))))))))))))))
4.672 * [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))))))))))))))
4.684 * [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))))))))))))))))))))))
4.684 * [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)))))
4.684 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
4.684 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
4.684 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.684 * [taylor]: Taking taylor expansion of k in k
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (sqrt 0) into 0
4.685 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.685 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
4.685 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.685 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.685 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.685 * [taylor]: Taking taylor expansion of 1/2 in k
4.685 * [backup-simplify]: Simplify 1/2 into 1/2
4.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.685 * [taylor]: Taking taylor expansion of 1/2 in k
4.685 * [backup-simplify]: Simplify 1/2 into 1/2
4.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.685 * [taylor]: Taking taylor expansion of k in k
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.686 * [backup-simplify]: Simplify (/ 1 1) into 1
4.686 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.686 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.686 * [taylor]: Taking taylor expansion of 2 in k
4.686 * [backup-simplify]: Simplify 2 into 2
4.686 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.686 * [taylor]: Taking taylor expansion of PI in k
4.686 * [backup-simplify]: Simplify PI into PI
4.686 * [taylor]: Taking taylor expansion of n in k
4.686 * [backup-simplify]: Simplify n into n
4.686 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.686 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.686 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.686 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.687 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.687 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.687 * [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))))
4.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
4.687 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.687 * [taylor]: Taking taylor expansion of k in n
4.687 * [backup-simplify]: Simplify k into k
4.687 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.687 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.687 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.687 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.687 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.687 * [taylor]: Taking taylor expansion of 1/2 in n
4.687 * [backup-simplify]: Simplify 1/2 into 1/2
4.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.687 * [taylor]: Taking taylor expansion of 1/2 in n
4.687 * [backup-simplify]: Simplify 1/2 into 1/2
4.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.687 * [taylor]: Taking taylor expansion of k in n
4.687 * [backup-simplify]: Simplify k into k
4.687 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.687 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.687 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.687 * [taylor]: Taking taylor expansion of 2 in n
4.687 * [backup-simplify]: Simplify 2 into 2
4.687 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.687 * [taylor]: Taking taylor expansion of PI in n
4.687 * [backup-simplify]: Simplify PI into PI
4.687 * [taylor]: Taking taylor expansion of n in n
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (/ PI 1) into PI
4.688 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.689 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.689 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.689 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.690 * [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)))
4.691 * [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))))
4.691 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
4.691 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.691 * [taylor]: Taking taylor expansion of k in n
4.691 * [backup-simplify]: Simplify k into k
4.691 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.691 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.691 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.691 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.691 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.691 * [taylor]: Taking taylor expansion of 1/2 in n
4.691 * [backup-simplify]: Simplify 1/2 into 1/2
4.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.691 * [taylor]: Taking taylor expansion of 1/2 in n
4.691 * [backup-simplify]: Simplify 1/2 into 1/2
4.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.691 * [taylor]: Taking taylor expansion of k in n
4.692 * [backup-simplify]: Simplify k into k
4.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.692 * [taylor]: Taking taylor expansion of 2 in n
4.692 * [backup-simplify]: Simplify 2 into 2
4.692 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.692 * [taylor]: Taking taylor expansion of PI in n
4.692 * [backup-simplify]: Simplify PI into PI
4.692 * [taylor]: Taking taylor expansion of n in n
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 1 into 1
4.692 * [backup-simplify]: Simplify (/ PI 1) into PI
4.692 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.693 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.693 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.693 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.696 * [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)))
4.697 * [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))))
4.698 * [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))
4.698 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
4.698 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
4.698 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
4.698 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.698 * [taylor]: Taking taylor expansion of 1/2 in k
4.698 * [backup-simplify]: Simplify 1/2 into 1/2
4.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.699 * [taylor]: Taking taylor expansion of 1/2 in k
4.699 * [backup-simplify]: Simplify 1/2 into 1/2
4.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.699 * [taylor]: Taking taylor expansion of k in k
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.699 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.699 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.699 * [taylor]: Taking taylor expansion of 2 in k
4.699 * [backup-simplify]: Simplify 2 into 2
4.699 * [taylor]: Taking taylor expansion of PI in k
4.699 * [backup-simplify]: Simplify PI into PI
4.700 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.701 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.701 * [taylor]: Taking taylor expansion of (log n) in k
4.701 * [taylor]: Taking taylor expansion of n in k
4.701 * [backup-simplify]: Simplify n into n
4.701 * [backup-simplify]: Simplify (log n) into (log n)
4.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.702 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.703 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.703 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.704 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.705 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.706 * [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))))
4.706 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.706 * [taylor]: Taking taylor expansion of k in k
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 1 into 1
4.707 * [backup-simplify]: Simplify (sqrt 0) into 0
4.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.709 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
4.709 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.714 * [backup-simplify]: Simplify (- 0) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.717 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.719 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.721 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
4.721 * [taylor]: Taking taylor expansion of 0 in k
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.722 * [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))))))
4.723 * [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))))))
4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.726 * [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
4.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.727 * [backup-simplify]: Simplify (- 0) into 0
4.727 * [backup-simplify]: Simplify (+ 0 0) into 0
4.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.729 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.731 * [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
4.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
4.732 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
4.732 * [taylor]: Taking taylor expansion of 0 in k
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.738 * [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))))))
4.739 * [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))))))
4.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.744 * [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
4.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
4.745 * [backup-simplify]: Simplify (- 0) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.747 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.749 * [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
4.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
4.752 * [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
4.752 * [taylor]: Taking taylor expansion of 0 in k
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.758 * [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))))))
4.760 * [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))))))
4.764 * [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))))))))
4.765 * [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)))
4.765 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
4.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
4.765 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
4.765 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
4.765 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
4.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.765 * [taylor]: Taking taylor expansion of 1/2 in k
4.765 * [backup-simplify]: Simplify 1/2 into 1/2
4.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.765 * [taylor]: Taking taylor expansion of k in k
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 1 into 1
4.766 * [backup-simplify]: Simplify (/ 1 1) into 1
4.766 * [taylor]: Taking taylor expansion of 1/2 in k
4.766 * [backup-simplify]: Simplify 1/2 into 1/2
4.766 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.766 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.766 * [taylor]: Taking taylor expansion of -2 in k
4.766 * [backup-simplify]: Simplify -2 into -2
4.766 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.766 * [taylor]: Taking taylor expansion of PI in k
4.766 * [backup-simplify]: Simplify PI into PI
4.766 * [taylor]: Taking taylor expansion of n in k
4.766 * [backup-simplify]: Simplify n into n
4.766 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.766 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.766 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.767 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.767 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.767 * [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)))
4.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.767 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.768 * [taylor]: Taking taylor expansion of -1 in k
4.768 * [backup-simplify]: Simplify -1 into -1
4.768 * [taylor]: Taking taylor expansion of k in k
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (/ -1 1) into -1
4.768 * [backup-simplify]: Simplify (sqrt 0) into 0
4.770 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.770 * [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))))
4.770 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
4.770 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.770 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.770 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.770 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.770 * [taylor]: Taking taylor expansion of 1/2 in n
4.770 * [backup-simplify]: Simplify 1/2 into 1/2
4.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.770 * [taylor]: Taking taylor expansion of k in n
4.770 * [backup-simplify]: Simplify k into k
4.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.771 * [taylor]: Taking taylor expansion of 1/2 in n
4.771 * [backup-simplify]: Simplify 1/2 into 1/2
4.771 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.771 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.771 * [taylor]: Taking taylor expansion of -2 in n
4.771 * [backup-simplify]: Simplify -2 into -2
4.771 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.771 * [taylor]: Taking taylor expansion of PI in n
4.771 * [backup-simplify]: Simplify PI into PI
4.771 * [taylor]: Taking taylor expansion of n in n
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 1 into 1
4.771 * [backup-simplify]: Simplify (/ PI 1) into PI
4.772 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.773 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.773 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.773 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.776 * [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)))
4.777 * [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))))
4.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
4.777 * [taylor]: Taking taylor expansion of (/ -1 k) in n
4.777 * [taylor]: Taking taylor expansion of -1 in n
4.777 * [backup-simplify]: Simplify -1 into -1
4.777 * [taylor]: Taking taylor expansion of k in n
4.777 * [backup-simplify]: Simplify k into k
4.777 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
4.777 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
4.777 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
4.779 * [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)))
4.779 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
4.779 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.779 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.779 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.779 * [taylor]: Taking taylor expansion of 1/2 in n
4.779 * [backup-simplify]: Simplify 1/2 into 1/2
4.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.779 * [taylor]: Taking taylor expansion of k in n
4.779 * [backup-simplify]: Simplify k into k
4.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.779 * [taylor]: Taking taylor expansion of 1/2 in n
4.779 * [backup-simplify]: Simplify 1/2 into 1/2
4.779 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.779 * [taylor]: Taking taylor expansion of -2 in n
4.779 * [backup-simplify]: Simplify -2 into -2
4.779 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.779 * [taylor]: Taking taylor expansion of PI in n
4.779 * [backup-simplify]: Simplify PI into PI
4.779 * [taylor]: Taking taylor expansion of n in n
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (/ PI 1) into PI
4.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.781 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.781 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.782 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.784 * [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)))
4.785 * [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))))
4.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
4.785 * [taylor]: Taking taylor expansion of (/ -1 k) in n
4.785 * [taylor]: Taking taylor expansion of -1 in n
4.786 * [backup-simplify]: Simplify -1 into -1
4.786 * [taylor]: Taking taylor expansion of k in n
4.786 * [backup-simplify]: Simplify k into k
4.786 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
4.786 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
4.786 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
4.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
4.787 * [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)))
4.787 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
4.787 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
4.787 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
4.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.787 * [taylor]: Taking taylor expansion of 1/2 in k
4.787 * [backup-simplify]: Simplify 1/2 into 1/2
4.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.787 * [taylor]: Taking taylor expansion of k in k
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 1 into 1
4.788 * [backup-simplify]: Simplify (/ 1 1) into 1
4.788 * [taylor]: Taking taylor expansion of 1/2 in k
4.788 * [backup-simplify]: Simplify 1/2 into 1/2
4.788 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.788 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.788 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.788 * [taylor]: Taking taylor expansion of -2 in k
4.788 * [backup-simplify]: Simplify -2 into -2
4.788 * [taylor]: Taking taylor expansion of PI in k
4.788 * [backup-simplify]: Simplify PI into PI
4.789 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.790 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.790 * [taylor]: Taking taylor expansion of (log n) in k
4.790 * [taylor]: Taking taylor expansion of n in k
4.790 * [backup-simplify]: Simplify n into n
4.790 * [backup-simplify]: Simplify (log n) into (log n)
4.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.791 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.791 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.792 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.793 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.794 * [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))))
4.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.794 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.794 * [taylor]: Taking taylor expansion of -1 in k
4.794 * [backup-simplify]: Simplify -1 into -1
4.794 * [taylor]: Taking taylor expansion of k in k
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 1 into 1
4.795 * [backup-simplify]: Simplify (/ -1 1) into -1
4.795 * [backup-simplify]: Simplify (sqrt 0) into 0
4.797 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.798 * [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)))))
4.799 * [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)))))
4.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.801 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.804 * [backup-simplify]: Simplify (+ 0 0) into 0
4.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.807 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.809 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.810 * [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
4.810 * [taylor]: Taking taylor expansion of 0 in k
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.818 * [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))))))
4.819 * [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))))))
4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.821 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
4.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.826 * [backup-simplify]: Simplify (+ 0 0) into 0
4.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.829 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.832 * [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
4.832 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
4.835 * [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
4.835 * [taylor]: Taking taylor expansion of 0 in k
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.844 * [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))))))
4.846 * [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))))))
4.850 * [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)))))))))))
4.851 * * * [progress]: simplifying candidates
4.851 * * * * [progress]: [ 1 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.851 * * * * [progress]: [ 2 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.851 * * * * [progress]: [ 3 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 4 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 5 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 6 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 7 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 8 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 9 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.851 * * * * [progress]: [ 10 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
4.851 * * * * [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)))>
4.851 * * * * [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)))>
4.851 * * * * [progress]: [ 13 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [progress]: [ 16 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.852 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.853 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.854 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [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)))>
4.855 * * * * [progress]: [ 56 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
4.855 * * * * [progress]: [ 57 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
4.855 * * * * [progress]: [ 58 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
4.855 * * * * [progress]: [ 59 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
4.856 * * * * [progress]: [ 60 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.856 * * * * [progress]: [ 61 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.856 * * * * [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)))>
4.856 * * * * [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)))>
4.856 * * * * [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)))>
4.856 * * * * [progress]: [ 65 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
4.856 * * * * [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)))>
4.856 * * * * [progress]: [ 67 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.856 * * * * [progress]: [ 68 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 69 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 70 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 71 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 72 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 73 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.856 * * * * [progress]: [ 74 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 75 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 76 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [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)))>
4.857 * * * * [progress]: [ 78 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [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)))>
4.857 * * * * [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)))>
4.857 * * * * [progress]: [ 81 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 82 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 83 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 84 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 85 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 86 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 87 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 88 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
4.857 * * * * [progress]: [ 89 / 445 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.858 * * * * [progress]: [ 90 / 445 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.858 * * * * [progress]: [ 91 / 445 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
4.858 * * * * [progress]: [ 92 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.858 * * * * [progress]: [ 93 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.858 * * * * [progress]: [ 94 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.858 * * * * [progress]: [ 95 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.858 * * * * [progress]: [ 96 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
4.858 * * * * [progress]: [ 97 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.858 * * * * [progress]: [ 98 / 445 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.858 * * * * [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)))))>
4.858 * * * * [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)))))>
4.858 * * * * [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)))))>
4.858 * * * * [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)))))>
4.858 * * * * [progress]: [ 103 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
4.858 * * * * [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)))))>
4.859 * * * * [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)))))>
4.859 * * * * [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)))))>
4.859 * * * * [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))))>
4.859 * * * * [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)))))>
4.859 * * * * [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))))>
4.859 * * * * [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)))))>
4.859 * * * * [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)))))>
4.859 * * * * [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)))))>
4.859 * * * * [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))))>
4.859 * * * * [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)))))>
4.860 * * * * [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))))>
4.860 * * * * [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)))))>
4.860 * * * * [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)))))>
4.860 * * * * [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)))))>
4.860 * * * * [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))))>
4.860 * * * * [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)))))>
4.860 * * * * [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))))>
4.860 * * * * [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)))))>
4.860 * * * * [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)))))>
4.860 * * * * [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)))))>
4.861 * * * * [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))))>
4.861 * * * * [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)))))>
4.861 * * * * [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))))>
4.861 * * * * [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)))))>
4.861 * * * * [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)))))>
4.861 * * * * [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)))))>
4.861 * * * * [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))))>
4.861 * * * * [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)))))>
4.861 * * * * [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))))>
4.861 * * * * [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)))))>
4.862 * * * * [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)))))>
4.862 * * * * [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)))))>
4.862 * * * * [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))))>
4.862 * * * * [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)))))>
4.862 * * * * [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))))>
4.862 * * * * [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)))))>
4.862 * * * * [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)))))>
4.862 * * * * [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)))))>
4.862 * * * * [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))))>
4.862 * * * * [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)))))>
4.862 * * * * [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))))>
4.863 * * * * [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)))))>
4.863 * * * * [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)))))>
4.863 * * * * [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)))))>
4.863 * * * * [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))))>
4.863 * * * * [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)))))>
4.863 * * * * [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))))>
4.863 * * * * [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)))))>
4.863 * * * * [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)))))>
4.863 * * * * [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)))))>
4.863 * * * * [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))))>
4.863 * * * * [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)))))>
4.864 * * * * [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))))>
4.864 * * * * [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)))))>
4.864 * * * * [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)))))>
4.864 * * * * [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)))))>
4.864 * * * * [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))))>
4.864 * * * * [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)))))>
4.864 * * * * [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))))>
4.864 * * * * [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)))))>
4.864 * * * * [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)))))>
4.864 * * * * [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)))))>
4.864 * * * * [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))))>
4.865 * * * * [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)))))>
4.865 * * * * [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))))>
4.865 * * * * [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)))))>
4.865 * * * * [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)))))>
4.865 * * * * [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)))))>
4.865 * * * * [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))))>
4.865 * * * * [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)))))>
4.865 * * * * [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))))>
4.865 * * * * [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)))))>
4.865 * * * * [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)))))>
4.865 * * * * [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)))))>
4.865 * * * * [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))))>
4.866 * * * * [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)))))>
4.866 * * * * [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))))>
4.866 * * * * [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)))))>
4.866 * * * * [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)))))>
4.866 * * * * [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)))))>
4.866 * * * * [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))))>
4.866 * * * * [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)))))>
4.866 * * * * [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))))>
4.866 * * * * [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)))))>
4.866 * * * * [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)))))>
4.866 * * * * [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)))))>
4.867 * * * * [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))))>
4.867 * * * * [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)))))>
4.867 * * * * [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))))>
4.867 * * * * [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)))))>
4.867 * * * * [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)))))>
4.867 * * * * [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)))))>
4.867 * * * * [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))))>
4.867 * * * * [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)))))>
4.867 * * * * [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))))>
4.867 * * * * [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)))))>
4.867 * * * * [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)))))>
4.868 * * * * [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)))))>
4.868 * * * * [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))))>
4.868 * * * * [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)))))>
4.868 * * * * [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))))>
4.868 * * * * [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)))))>
4.868 * * * * [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)))))>
4.868 * * * * [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)))))>
4.868 * * * * [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))))>
4.868 * * * * [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)))))>
4.868 * * * * [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))))>
4.868 * * * * [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)))))>
4.869 * * * * [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)))))>
4.869 * * * * [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)))))>
4.869 * * * * [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))))>
4.869 * * * * [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)))))>
4.869 * * * * [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))))>
4.869 * * * * [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)))))>
4.869 * * * * [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)))))>
4.869 * * * * [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)))))>
4.869 * * * * [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))))>
4.869 * * * * [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)))))>
4.870 * * * * [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))))>
4.870 * * * * [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)))))>
4.870 * * * * [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)))))>
4.870 * * * * [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)))))>
4.870 * * * * [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))))>
4.870 * * * * [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)))))>
4.870 * * * * [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))))>
4.870 * * * * [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)))))>
4.870 * * * * [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)))))>
4.870 * * * * [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)))))>
4.870 * * * * [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))))>
4.871 * * * * [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)))))>
4.871 * * * * [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))))>
4.871 * * * * [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)))))>
4.871 * * * * [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)))))>
4.871 * * * * [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)))))>
4.871 * * * * [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))))>
4.871 * * * * [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)))))>
4.871 * * * * [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))))>
4.871 * * * * [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)))))>
4.871 * * * * [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)))))>
4.871 * * * * [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)))))>
4.871 * * * * [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))))>
4.872 * * * * [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)))))>
4.872 * * * * [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))))>
4.872 * * * * [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)))))>
4.872 * * * * [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)))))>
4.872 * * * * [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)))))>
4.872 * * * * [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))))>
4.872 * * * * [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)))))>
4.872 * * * * [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))))>
4.872 * * * * [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)))))>
4.873 * * * * [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)))))>
4.873 * * * * [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)))))>
4.873 * * * * [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))))>
4.873 * * * * [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)))))>
4.873 * * * * [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))))>
4.873 * * * * [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)))))>
4.873 * * * * [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)))))>
4.873 * * * * [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)))))>
4.873 * * * * [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))))>
4.873 * * * * [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)))))>
4.873 * * * * [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))))>
4.874 * * * * [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)))))>
4.874 * * * * [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)))))>
4.874 * * * * [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)))))>
4.874 * * * * [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))))>
4.874 * * * * [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)))))>
4.874 * * * * [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))))>
4.874 * * * * [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)))))>
4.874 * * * * [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)))))>
4.874 * * * * [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)))))>
4.874 * * * * [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))))>
4.874 * * * * [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)))))>
4.874 * * * * [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))))>
4.875 * * * * [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)))))>
4.875 * * * * [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)))))>
4.875 * * * * [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)))))>
4.875 * * * * [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))))>
4.875 * * * * [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)))))>
4.875 * * * * [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))))>
4.875 * * * * [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)))))>
4.875 * * * * [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)))))>
4.875 * * * * [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)))))>
4.875 * * * * [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))))>
4.875 * * * * [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)))))>
4.876 * * * * [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))))>
4.876 * * * * [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)))))>
4.876 * * * * [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)))))>
4.876 * * * * [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)))))>
4.876 * * * * [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))))>
4.876 * * * * [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)))))>
4.876 * * * * [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))))>
4.876 * * * * [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)))))>
4.876 * * * * [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)))))>
4.876 * * * * [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)))))>
4.876 * * * * [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))))>
4.877 * * * * [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)))))>
4.877 * * * * [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))))>
4.877 * * * * [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)))))>
4.877 * * * * [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)))))>
4.877 * * * * [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)))))>
4.877 * * * * [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))))>
4.877 * * * * [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)))))>
4.877 * * * * [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))))>
4.877 * * * * [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)))))>
4.877 * * * * [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)))))>
4.877 * * * * [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)))))>
4.877 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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)))))>
4.878 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [progress]: [ 343 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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)))))>
4.879 * * * * [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))))>
4.879 * * * * [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)))))>
4.879 * * * * [progress]: [ 349 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
4.879 * * * * [progress]: [ 350 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
4.879 * * * * [progress]: [ 351 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
4.879 * * * * [progress]: [ 352 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.879 * * * * [progress]: [ 353 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
4.880 * * * * [progress]: [ 354 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.880 * * * * [progress]: [ 355 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [progress]: [ 370 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.880 * * * * [progress]: [ 371 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.880 * * * * [progress]: [ 372 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.880 * * * * [progress]: [ 373 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.880 * * * * [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)))))>
4.880 * * * * [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))))>
4.881 * * * * [progress]: [ 380 / 445 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.881 * * * * [progress]: [ 381 / 445 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
4.881 * * * * [progress]: [ 382 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
4.881 * * * * [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))))>
4.881 * * * * [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))))>
4.881 * * * * [progress]: [ 385 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
4.881 * * * * [progress]: [ 386 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
4.881 * * * * [progress]: [ 387 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
4.881 * * * * [progress]: [ 388 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
4.881 * * * * [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)))))))))>
4.881 * * * * [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))))))))>
4.881 * * * * [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)))))))))>
4.881 * * * * [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))))))))>
4.881 * * * * [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)))))))>
4.881 * * * * [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)))))))))>
4.881 * * * * [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))))))))>
4.881 * * * * [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)))))))>
4.881 * * * * [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)))))))))>
4.881 * * * * [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))))))))>
4.881 * * * * [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)))))))>
4.881 * * * * [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))))))>
4.881 * * * * [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))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))>
4.882 * * * * [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))))))>
4.882 * * * * [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))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))>
4.882 * * * * [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)))))))))>
4.882 * * * * [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))))))))>
4.882 * * * * [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)))))))>
4.883 * * * * [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)))))))))>
4.883 * * * * [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))))))))>
4.883 * * * * [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)))))))>
4.883 * * * * [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))))))>
4.883 * * * * [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))))))>
4.883 * * * * [progress]: [ 428 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
4.883 * * * * [progress]: [ 429 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
4.883 * * * * [progress]: [ 430 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
4.883 * * * * [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)))))))>
4.883 * * * * [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)))))))>
4.883 * * * * [progress]: [ 433 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
4.883 * * * * [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)))))>
4.883 * * * * [progress]: [ 435 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
4.883 * * * * [progress]: [ 436 / 445 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.883 * * * * [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)))>
4.883 * * * * [progress]: [ 438 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
4.883 * * * * [progress]: [ 439 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
4.883 * * * * [progress]: [ 440 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.883 * * * * [progress]: [ 441 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.883 * * * * [progress]: [ 442 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.883 * * * * [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)))))))))))))))))))))))>
4.883 * * * * [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)))))))))>
4.884 * * * * [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))))))))))))>
4.894 * [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 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (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 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (expm1 (* (* n 2) PI))
  (log1p (* (* n 2) PI))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (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 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) (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 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (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 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)))))))))))
4.912 * * [simplify]: iteration 0: 699 enodes
5.211 * * [simplify]: iteration 1: 1539 enodes
5.892 * * [simplify]: iteration 2: 4377 enodes
7.052 * * [simplify]: iteration complete: 5000 enodes
7.052 * * [simplify]: Extracting #0: cost 223 inf + 0
7.054 * * [simplify]: Extracting #1: cost 832 inf + 1
7.059 * * [simplify]: Extracting #2: cost 1323 inf + 1230
7.078 * * [simplify]: Extracting #3: cost 1445 inf + 38814
7.138 * * [simplify]: Extracting #4: cost 968 inf + 208564
7.239 * * [simplify]: Extracting #5: cost 510 inf + 417167
7.349 * * [simplify]: Extracting #6: cost 258 inf + 566851
7.523 * * [simplify]: Extracting #7: cost 46 inf + 704759
7.765 * * [simplify]: Extracting #8: cost 3 inf + 738606
8.013 * * [simplify]: Extracting #9: cost 0 inf + 743199
8.221 * * [simplify]: Extracting #10: cost 0 inf + 742834
8.426 * [simplify]: Simplified to:
  (expm1 (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (log1p (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))
  (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))
  (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))
  (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))
  (- 1/2 (* k 1/2))
  (- 1/2 (* k 1/2))
  (- 1/2 (* k 1/2))
  (sqrt (* 2 (* PI n)))
  (pow (* 2 (* PI n)) (* k 1/2))
  (pow (* 2 (* PI n)) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow (* 2 (* PI n)) (sqrt (- 1/2 (* k 1/2))))
  (* 2 (* PI n))
  (pow (* 2 (* PI n)) (+ (sqrt 1/2) (sqrt (* k 1/2))))
  (pow (* 2 (* PI n)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* 2 (* PI n))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k)))))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2)))
  (sqrt (* 2 (* PI n)))
  (pow (* 2 (* PI n)) (- (* k 1/2)))
  (sqrt (* 2 (* PI n)))
  (pow (* 2 (* PI n)) (- (* k 1/2)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))
  (exp (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (pow (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) 3)
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2))
  (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (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 (* PI n)) (exp (* PI n)))
  (* (* (* n n) n) (* 8 (* PI (* PI PI))))
  (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))
  (* (cbrt (* 2 (* PI n))) (cbrt (* 2 (* PI n))))
  (cbrt (* 2 (* PI n)))
  (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))
  (sqrt (* 2 (* PI n)))
  (sqrt (* 2 (* PI n)))
  (* (* (cbrt PI) (cbrt PI)) (* 2 n))
  (* (sqrt PI) (* 2 n))
  (* 2 n)
  (* PI 2)
  (real->posit16 (* 2 (* PI n)))
  (expm1 (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (log1p (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (exp (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (/ (pow (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) 3) (* (sqrt k) k))
  (* (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k))))
  (cbrt (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (* (* (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (sqrt (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (sqrt (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (- (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (- (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (/ (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (cbrt k) (sqrt 2)) (/ (sqrt 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (cbrt k) (* (cbrt k) (/ (cbrt k) 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (/ (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (/ (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))))
  (/ (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))) (sqrt k))
  (/ (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (/ (/ k (sqrt 2)) (sqrt 2))))
  (/ (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))) (sqrt k))
  (/ (sqrt (* 2 (* PI n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (cbrt (sqrt k)))
  (/ (sqrt (* 2 (* PI n))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (cbrt k)))
  (/ (sqrt (* 2 (* PI n))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (sqrt k)))
  (sqrt (* 2 (* PI n)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt k))
  (/ (sqrt (* 2 (* PI n))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (sqrt k)))
  (sqrt (* 2 (* PI n)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt k))
  (/ (sqrt (* 2 (* PI n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (cbrt (sqrt k)))
  (/ (sqrt (* 2 (* PI n))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (cbrt k)))
  (/ (sqrt (* 2 (* PI n))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (sqrt k)))
  (sqrt (* 2 (* PI n)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt k))
  (/ (sqrt (* 2 (* PI n))) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt (sqrt k)))
  (sqrt (* 2 (* PI n)))
  (/ (pow (* 2 (* PI n)) (- (* k 1/2))) (sqrt k))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (* (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (/ (fabs (cbrt k)) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))
  (* (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt k))
  (* (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (/ (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  1
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  1
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2))
  (/ (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (+ (- (/ (cbrt k) (cbrt 2))) (/ (cbrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (cbrt k) 2) (+ (- (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (* (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (+ (- (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2))) (/ (/ (/ k (cbrt 2)) (cbrt 2)) (cbrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (/ -1 (sqrt 2)) (/ k (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma (* k 1/2) -1 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (fma -1/2 k (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (- (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (- (* k 1/2))))
  (/ (sqrt k) (pow PI (- 1/2 (* k 1/2))))
  (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (* k 1/2)))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))))
  (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- 1/2 (* k 1/2)) 2)))
  (* (pow (* 2 (* PI n)) (* k 1/2)) (sqrt k))
  (real->posit16 (/ (pow (* 2 (* PI n)) (- 1/2 (* k 1/2))) (sqrt k)))
  (fma -1/2 (* k (fma (pow (* 2 (* PI n)) 1/2) (log n) (* (log (* PI 2)) (pow (* 2 (* PI n)) 1/2)))) (+ (fma (* 1/8 (* (* (* k k) (log n)) (log n))) (pow (* 2 (* PI n)) 1/2) (pow (* 2 (* PI n)) 1/2)) (fma (* (log (* PI 2)) (* (log (* PI 2)) (pow (* 2 (* PI n)) 1/2))) (* (* k k) 1/8) (* (* (log (* PI 2)) (pow (* 2 (* PI n)) 1/2)) (* (* (* k k) (log n)) 1/4)))))
  (exp (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2))))
  (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2))))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (fma (- (* +nan.0 (log (* PI 2)))) (* (* (* k k) (log n)) (exp (* (log (* 2 (* PI n))) 1/2))) (fma (* (exp (* (log (* 2 (* PI n))) 1/2)) (* k k)) (* +nan.0 (log (* PI 2))) (fma (* +nan.0 (exp (* (log (* 2 (* PI n))) 1/2))) (- (* (* (* k k) (log n)) (log n))) (+ (- (* +nan.0 (* k (exp (* (log (* 2 (* PI n))) 1/2)))) (* +nan.0 (exp (* (log (* 2 (* PI n))) 1/2)))) (fma +nan.0 (* (exp (* (log (* 2 (* PI n))) 1/2)) (* (* k k) (* (log (* PI 2)) (log (* PI 2))))) (fma (* +nan.0 (exp (* (log (* 2 (* PI n))) 1/2))) (- (* (* k k) (log n))) (fma (* +nan.0 (exp (* (log (* 2 (* PI n))) 1/2))) (* k k) (fma (* +nan.0 (* k (exp (* (log (* 2 (* PI n))) 1/2)))) (log n) (* (- (* +nan.0 (log (* PI 2)))) (* k (exp (* (log (* 2 (* PI n))) 1/2))))))))))))
  (fma (- +nan.0) (/ (/ (exp (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))) (* k k)) k) (* +nan.0 (- (/ (exp (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))) k) (/ (exp (* (log (* 2 (* PI n))) (- 1/2 (* k 1/2)))) (* k k)))))
  (fma +nan.0 (- (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) k)) (* +nan.0 (- (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) (* k k)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* k 1/2)))))))
8.522 * * * [progress]: adding candidates to table
11.567 * * [progress]: iteration 2 / 4
11.567 * * * [progress]: picking best candidate
11.629 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
11.629 * * * [progress]: localizing error
11.677 * * * [progress]: generating rewritten candidates
11.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
11.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
11.707 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.799 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.855 * * * [progress]: generating series expansions
11.855 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
11.855 * [backup-simplify]: Simplify (pow (* 2 n) (- 1/2 (* k 1/2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
11.855 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
11.855 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
11.855 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
11.855 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
11.855 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.855 * [taylor]: Taking taylor expansion of 1/2 in k
11.855 * [backup-simplify]: Simplify 1/2 into 1/2
11.855 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.855 * [taylor]: Taking taylor expansion of 1/2 in k
11.855 * [backup-simplify]: Simplify 1/2 into 1/2
11.855 * [taylor]: Taking taylor expansion of k in k
11.855 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify 1 into 1
11.856 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
11.856 * [taylor]: Taking taylor expansion of (* 2 n) in k
11.856 * [taylor]: Taking taylor expansion of 2 in k
11.856 * [backup-simplify]: Simplify 2 into 2
11.856 * [taylor]: Taking taylor expansion of n in k
11.856 * [backup-simplify]: Simplify n into n
11.856 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
11.856 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
11.857 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.857 * [backup-simplify]: Simplify (- 0) into 0
11.858 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.858 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
11.858 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
11.858 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.858 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.858 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.858 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.858 * [taylor]: Taking taylor expansion of 1/2 in n
11.858 * [backup-simplify]: Simplify 1/2 into 1/2
11.858 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.858 * [taylor]: Taking taylor expansion of 1/2 in n
11.858 * [backup-simplify]: Simplify 1/2 into 1/2
11.858 * [taylor]: Taking taylor expansion of k in n
11.858 * [backup-simplify]: Simplify k into k
11.858 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.858 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.858 * [taylor]: Taking taylor expansion of 2 in n
11.858 * [backup-simplify]: Simplify 2 into 2
11.858 * [taylor]: Taking taylor expansion of n in n
11.858 * [backup-simplify]: Simplify 0 into 0
11.858 * [backup-simplify]: Simplify 1 into 1
11.858 * [backup-simplify]: Simplify (* 2 0) into 0
11.859 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.859 * [backup-simplify]: Simplify (log 2) into (log 2)
11.859 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.859 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.859 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.860 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.860 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.861 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.861 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.861 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.861 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.861 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.861 * [taylor]: Taking taylor expansion of 1/2 in n
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.861 * [taylor]: Taking taylor expansion of 1/2 in n
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of k in n
11.861 * [backup-simplify]: Simplify k into k
11.861 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.861 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.861 * [taylor]: Taking taylor expansion of 2 in n
11.861 * [backup-simplify]: Simplify 2 into 2
11.861 * [taylor]: Taking taylor expansion of n in n
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (* 2 0) into 0
11.862 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.862 * [backup-simplify]: Simplify (log 2) into (log 2)
11.862 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.862 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.862 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.863 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.863 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.863 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
11.863 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
11.863 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
11.863 * [taylor]: Taking taylor expansion of (log 2) in k
11.863 * [taylor]: Taking taylor expansion of 2 in k
11.863 * [backup-simplify]: Simplify 2 into 2
11.864 * [backup-simplify]: Simplify (log 2) into (log 2)
11.864 * [taylor]: Taking taylor expansion of (log n) in k
11.864 * [taylor]: Taking taylor expansion of n in k
11.864 * [backup-simplify]: Simplify n into n
11.864 * [backup-simplify]: Simplify (log n) into (log n)
11.864 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.864 * [taylor]: Taking taylor expansion of 1/2 in k
11.864 * [backup-simplify]: Simplify 1/2 into 1/2
11.864 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.864 * [taylor]: Taking taylor expansion of 1/2 in k
11.864 * [backup-simplify]: Simplify 1/2 into 1/2
11.864 * [taylor]: Taking taylor expansion of k in k
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 1 into 1
11.864 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
11.864 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.865 * [backup-simplify]: Simplify (- 0) into 0
11.865 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.865 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
11.866 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.866 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.868 * [backup-simplify]: Simplify (- 0) into 0
11.868 * [backup-simplify]: Simplify (+ 0 0) into 0
11.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.869 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
11.870 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.870 * [taylor]: Taking taylor expansion of 0 in k
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.870 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.871 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.872 * [backup-simplify]: Simplify (+ 0 0) into 0
11.873 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
11.874 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.875 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.878 * [backup-simplify]: Simplify (- 0) into 0
11.878 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.879 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
11.881 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.881 * [taylor]: Taking taylor expansion of 0 in k
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.881 * [backup-simplify]: Simplify (- 0) into 0
11.882 * [backup-simplify]: Simplify (+ 0 0) into 0
11.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.885 * [backup-simplify]: Simplify (+ 0 0) into 0
11.885 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
11.887 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.888 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.892 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
11.893 * [backup-simplify]: Simplify (pow (* 2 (/ 1 n)) (- 1/2 (* (/ 1 k) 1/2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.893 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
11.893 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.893 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
11.893 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
11.893 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.893 * [taylor]: Taking taylor expansion of 1/2 in k
11.893 * [backup-simplify]: Simplify 1/2 into 1/2
11.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.893 * [taylor]: Taking taylor expansion of 1/2 in k
11.893 * [backup-simplify]: Simplify 1/2 into 1/2
11.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.893 * [taylor]: Taking taylor expansion of k in k
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify 1 into 1
11.893 * [backup-simplify]: Simplify (/ 1 1) into 1
11.893 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
11.893 * [taylor]: Taking taylor expansion of (/ 2 n) in k
11.893 * [taylor]: Taking taylor expansion of 2 in k
11.894 * [backup-simplify]: Simplify 2 into 2
11.894 * [taylor]: Taking taylor expansion of n in k
11.894 * [backup-simplify]: Simplify n into n
11.894 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
11.894 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
11.894 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.895 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.895 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.895 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
11.895 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.895 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.895 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.895 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.895 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.896 * [taylor]: Taking taylor expansion of 1/2 in n
11.896 * [backup-simplify]: Simplify 1/2 into 1/2
11.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.896 * [taylor]: Taking taylor expansion of 1/2 in n
11.896 * [backup-simplify]: Simplify 1/2 into 1/2
11.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.896 * [taylor]: Taking taylor expansion of k in n
11.896 * [backup-simplify]: Simplify k into k
11.896 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.896 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.896 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.896 * [taylor]: Taking taylor expansion of 2 in n
11.896 * [backup-simplify]: Simplify 2 into 2
11.896 * [taylor]: Taking taylor expansion of n in n
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 1 into 1
11.896 * [backup-simplify]: Simplify (/ 2 1) into 2
11.897 * [backup-simplify]: Simplify (log 2) into (log 2)
11.897 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.897 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.897 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.898 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.899 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.899 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.899 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.899 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.899 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.899 * [taylor]: Taking taylor expansion of 1/2 in n
11.899 * [backup-simplify]: Simplify 1/2 into 1/2
11.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.899 * [taylor]: Taking taylor expansion of 1/2 in n
11.899 * [backup-simplify]: Simplify 1/2 into 1/2
11.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.899 * [taylor]: Taking taylor expansion of k in n
11.899 * [backup-simplify]: Simplify k into k
11.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.899 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.899 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.899 * [taylor]: Taking taylor expansion of 2 in n
11.899 * [backup-simplify]: Simplify 2 into 2
11.899 * [taylor]: Taking taylor expansion of n in n
11.899 * [backup-simplify]: Simplify 0 into 0
11.899 * [backup-simplify]: Simplify 1 into 1
11.900 * [backup-simplify]: Simplify (/ 2 1) into 2
11.900 * [backup-simplify]: Simplify (log 2) into (log 2)
11.900 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.900 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.900 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.902 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.902 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.902 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
11.902 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
11.902 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.902 * [taylor]: Taking taylor expansion of 1/2 in k
11.902 * [backup-simplify]: Simplify 1/2 into 1/2
11.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.902 * [taylor]: Taking taylor expansion of 1/2 in k
11.902 * [backup-simplify]: Simplify 1/2 into 1/2
11.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.902 * [taylor]: Taking taylor expansion of k in k
11.902 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify 1 into 1
11.903 * [backup-simplify]: Simplify (/ 1 1) into 1
11.903 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
11.903 * [taylor]: Taking taylor expansion of (log 2) in k
11.903 * [taylor]: Taking taylor expansion of 2 in k
11.903 * [backup-simplify]: Simplify 2 into 2
11.903 * [backup-simplify]: Simplify (log 2) into (log 2)
11.903 * [taylor]: Taking taylor expansion of (log n) in k
11.903 * [taylor]: Taking taylor expansion of n in k
11.903 * [backup-simplify]: Simplify n into n
11.903 * [backup-simplify]: Simplify (log n) into (log n)
11.904 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.904 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.905 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.905 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.905 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
11.906 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
11.906 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.907 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.910 * [backup-simplify]: Simplify (- 0) into 0
11.910 * [backup-simplify]: Simplify (+ 0 0) into 0
11.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.912 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
11.913 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.913 * [taylor]: Taking taylor expansion of 0 in k
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.917 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.919 * [backup-simplify]: Simplify (- 0) into 0
11.919 * [backup-simplify]: Simplify (+ 0 0) into 0
11.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.921 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
11.922 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.922 * [taylor]: Taking taylor expansion of 0 in k
11.922 * [backup-simplify]: Simplify 0 into 0
11.923 * [backup-simplify]: Simplify 0 into 0
11.923 * [backup-simplify]: Simplify 0 into 0
11.923 * [backup-simplify]: Simplify 0 into 0
11.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.929 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.931 * [backup-simplify]: Simplify (- 0) into 0
11.932 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.934 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
11.936 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.936 * [taylor]: Taking taylor expansion of 0 in k
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 0 into 0
11.937 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
11.937 * [backup-simplify]: Simplify (pow (* 2 (/ 1 (- n))) (- 1/2 (* (/ 1 (- k)) 1/2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.937 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
11.937 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.937 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
11.937 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
11.937 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.937 * [taylor]: Taking taylor expansion of 1/2 in k
11.937 * [backup-simplify]: Simplify 1/2 into 1/2
11.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.937 * [taylor]: Taking taylor expansion of k in k
11.937 * [backup-simplify]: Simplify 0 into 0
11.937 * [backup-simplify]: Simplify 1 into 1
11.938 * [backup-simplify]: Simplify (/ 1 1) into 1
11.938 * [taylor]: Taking taylor expansion of 1/2 in k
11.938 * [backup-simplify]: Simplify 1/2 into 1/2
11.938 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
11.938 * [taylor]: Taking taylor expansion of (/ -2 n) in k
11.938 * [taylor]: Taking taylor expansion of -2 in k
11.938 * [backup-simplify]: Simplify -2 into -2
11.938 * [taylor]: Taking taylor expansion of n in k
11.938 * [backup-simplify]: Simplify n into n
11.938 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
11.938 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
11.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.939 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.939 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
11.940 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.940 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.940 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.940 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.940 * [taylor]: Taking taylor expansion of 1/2 in n
11.940 * [backup-simplify]: Simplify 1/2 into 1/2
11.940 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.940 * [taylor]: Taking taylor expansion of k in n
11.940 * [backup-simplify]: Simplify k into k
11.940 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.940 * [taylor]: Taking taylor expansion of 1/2 in n
11.940 * [backup-simplify]: Simplify 1/2 into 1/2
11.940 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.940 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.940 * [taylor]: Taking taylor expansion of -2 in n
11.940 * [backup-simplify]: Simplify -2 into -2
11.940 * [taylor]: Taking taylor expansion of n in n
11.940 * [backup-simplify]: Simplify 0 into 0
11.940 * [backup-simplify]: Simplify 1 into 1
11.941 * [backup-simplify]: Simplify (/ -2 1) into -2
11.941 * [backup-simplify]: Simplify (log -2) into (log -2)
11.941 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.941 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.942 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.943 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.943 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.943 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.943 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.943 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.943 * [taylor]: Taking taylor expansion of 1/2 in n
11.943 * [backup-simplify]: Simplify 1/2 into 1/2
11.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.943 * [taylor]: Taking taylor expansion of k in n
11.943 * [backup-simplify]: Simplify k into k
11.943 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.943 * [taylor]: Taking taylor expansion of 1/2 in n
11.943 * [backup-simplify]: Simplify 1/2 into 1/2
11.943 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.943 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.943 * [taylor]: Taking taylor expansion of -2 in n
11.943 * [backup-simplify]: Simplify -2 into -2
11.943 * [taylor]: Taking taylor expansion of n in n
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 1 into 1
11.944 * [backup-simplify]: Simplify (/ -2 1) into -2
11.944 * [backup-simplify]: Simplify (log -2) into (log -2)
11.944 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.945 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.946 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.946 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.947 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
11.947 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
11.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.947 * [taylor]: Taking taylor expansion of 1/2 in k
11.947 * [backup-simplify]: Simplify 1/2 into 1/2
11.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.947 * [taylor]: Taking taylor expansion of k in k
11.947 * [backup-simplify]: Simplify 0 into 0
11.947 * [backup-simplify]: Simplify 1 into 1
11.947 * [backup-simplify]: Simplify (/ 1 1) into 1
11.947 * [taylor]: Taking taylor expansion of 1/2 in k
11.947 * [backup-simplify]: Simplify 1/2 into 1/2
11.947 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
11.947 * [taylor]: Taking taylor expansion of (log -2) in k
11.947 * [taylor]: Taking taylor expansion of -2 in k
11.947 * [backup-simplify]: Simplify -2 into -2
11.948 * [backup-simplify]: Simplify (log -2) into (log -2)
11.948 * [taylor]: Taking taylor expansion of (log n) in k
11.948 * [taylor]: Taking taylor expansion of n in k
11.948 * [backup-simplify]: Simplify n into n
11.948 * [backup-simplify]: Simplify (log n) into (log n)
11.949 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.949 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.949 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.949 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
11.950 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
11.950 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.951 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
11.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
11.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.954 * [backup-simplify]: Simplify (+ 0 0) into 0
11.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.956 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
11.957 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.957 * [taylor]: Taking taylor expansion of 0 in k
11.957 * [backup-simplify]: Simplify 0 into 0
11.957 * [backup-simplify]: Simplify 0 into 0
11.957 * [backup-simplify]: Simplify 0 into 0
11.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
11.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.963 * [backup-simplify]: Simplify (+ 0 0) into 0
11.963 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.964 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
11.966 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.966 * [taylor]: Taking taylor expansion of 0 in k
11.966 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify 0 into 0
11.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.978 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
11.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.981 * [backup-simplify]: Simplify (+ 0 0) into 0
11.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.983 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
11.985 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.985 * [taylor]: Taking taylor expansion of 0 in k
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
11.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
11.986 * [backup-simplify]: Simplify (pow PI (- 1/2 (* k 1/2))) into (pow PI (- 1/2 (* 1/2 k)))
11.986 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
11.986 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.986 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.986 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.986 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.986 * [taylor]: Taking taylor expansion of 1/2 in k
11.986 * [backup-simplify]: Simplify 1/2 into 1/2
11.986 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.986 * [taylor]: Taking taylor expansion of 1/2 in k
11.986 * [backup-simplify]: Simplify 1/2 into 1/2
11.986 * [taylor]: Taking taylor expansion of k in k
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.987 * [taylor]: Taking taylor expansion of (log PI) in k
11.987 * [taylor]: Taking taylor expansion of PI in k
11.987 * [backup-simplify]: Simplify PI into PI
11.987 * [backup-simplify]: Simplify (log PI) into (log PI)
11.988 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.988 * [backup-simplify]: Simplify (- 0) into 0
11.989 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.990 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.992 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.992 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.992 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.992 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.992 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.992 * [taylor]: Taking taylor expansion of 1/2 in k
11.992 * [backup-simplify]: Simplify 1/2 into 1/2
11.992 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.992 * [taylor]: Taking taylor expansion of 1/2 in k
11.992 * [backup-simplify]: Simplify 1/2 into 1/2
11.992 * [taylor]: Taking taylor expansion of k in k
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [backup-simplify]: Simplify 1 into 1
11.992 * [taylor]: Taking taylor expansion of (log PI) in k
11.992 * [taylor]: Taking taylor expansion of PI in k
11.992 * [backup-simplify]: Simplify PI into PI
11.993 * [backup-simplify]: Simplify (log PI) into (log PI)
11.993 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.994 * [backup-simplify]: Simplify (- 0) into 0
11.994 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.996 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.997 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.998 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
12.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.000 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.001 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.001 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
12.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
12.010 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
12.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.013 * [backup-simplify]: Simplify (- 0) into 0
12.013 * [backup-simplify]: Simplify (+ 0 0) into 0
12.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
12.021 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
12.024 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
12.028 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
12.028 * [backup-simplify]: Simplify (pow PI (- 1/2 (* (/ 1 k) 1/2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.028 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
12.028 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.028 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.028 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.028 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.028 * [taylor]: Taking taylor expansion of 1/2 in k
12.028 * [backup-simplify]: Simplify 1/2 into 1/2
12.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.028 * [taylor]: Taking taylor expansion of 1/2 in k
12.028 * [backup-simplify]: Simplify 1/2 into 1/2
12.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.028 * [taylor]: Taking taylor expansion of k in k
12.028 * [backup-simplify]: Simplify 0 into 0
12.028 * [backup-simplify]: Simplify 1 into 1
12.029 * [backup-simplify]: Simplify (/ 1 1) into 1
12.029 * [taylor]: Taking taylor expansion of (log PI) in k
12.029 * [taylor]: Taking taylor expansion of PI in k
12.029 * [backup-simplify]: Simplify PI into PI
12.029 * [backup-simplify]: Simplify (log PI) into (log PI)
12.029 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.030 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.030 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.031 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.031 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.031 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.031 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.031 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.031 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.031 * [taylor]: Taking taylor expansion of 1/2 in k
12.031 * [backup-simplify]: Simplify 1/2 into 1/2
12.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.032 * [taylor]: Taking taylor expansion of 1/2 in k
12.032 * [backup-simplify]: Simplify 1/2 into 1/2
12.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.032 * [taylor]: Taking taylor expansion of k in k
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 1 into 1
12.032 * [backup-simplify]: Simplify (/ 1 1) into 1
12.032 * [taylor]: Taking taylor expansion of (log PI) in k
12.032 * [taylor]: Taking taylor expansion of PI in k
12.032 * [backup-simplify]: Simplify PI into PI
12.032 * [backup-simplify]: Simplify (log PI) into (log PI)
12.033 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.033 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.033 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.034 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.034 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.034 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
12.035 * [backup-simplify]: Simplify (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.035 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
12.035 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.035 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.035 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.035 * [taylor]: Taking taylor expansion of 1/2 in k
12.035 * [backup-simplify]: Simplify 1/2 into 1/2
12.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.035 * [taylor]: Taking taylor expansion of k in k
12.035 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify 1 into 1
12.035 * [backup-simplify]: Simplify (/ 1 1) into 1
12.035 * [taylor]: Taking taylor expansion of 1/2 in k
12.035 * [backup-simplify]: Simplify 1/2 into 1/2
12.035 * [taylor]: Taking taylor expansion of (log PI) in k
12.035 * [taylor]: Taking taylor expansion of PI in k
12.035 * [backup-simplify]: Simplify PI into PI
12.036 * [backup-simplify]: Simplify (log PI) into (log PI)
12.036 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.036 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.037 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.037 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.037 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.037 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.037 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.037 * [taylor]: Taking taylor expansion of 1/2 in k
12.037 * [backup-simplify]: Simplify 1/2 into 1/2
12.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.037 * [taylor]: Taking taylor expansion of k in k
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.038 * [backup-simplify]: Simplify (/ 1 1) into 1
12.038 * [taylor]: Taking taylor expansion of 1/2 in k
12.038 * [backup-simplify]: Simplify 1/2 into 1/2
12.038 * [taylor]: Taking taylor expansion of (log PI) in k
12.038 * [taylor]: Taking taylor expansion of PI in k
12.038 * [backup-simplify]: Simplify PI into PI
12.038 * [backup-simplify]: Simplify (log PI) into (log PI)
12.039 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.039 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.040 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.041 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.041 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
12.041 * * * * [progress]: [ 3 / 4 ] generating series at (2)
12.042 * [backup-simplify]: Simplify (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
12.042 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
12.042 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
12.042 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
12.042 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
12.042 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
12.042 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
12.042 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.042 * [taylor]: Taking taylor expansion of 1/2 in k
12.042 * [backup-simplify]: Simplify 1/2 into 1/2
12.042 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.042 * [taylor]: Taking taylor expansion of 1/2 in k
12.042 * [backup-simplify]: Simplify 1/2 into 1/2
12.042 * [taylor]: Taking taylor expansion of k in k
12.042 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify 1 into 1
12.042 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
12.042 * [taylor]: Taking taylor expansion of (* 2 n) in k
12.042 * [taylor]: Taking taylor expansion of 2 in k
12.042 * [backup-simplify]: Simplify 2 into 2
12.042 * [taylor]: Taking taylor expansion of n in k
12.042 * [backup-simplify]: Simplify n into n
12.042 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
12.043 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
12.043 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.043 * [backup-simplify]: Simplify (- 0) into 0
12.044 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.044 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
12.044 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
12.044 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.044 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.044 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.044 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.044 * [taylor]: Taking taylor expansion of 1/2 in k
12.044 * [backup-simplify]: Simplify 1/2 into 1/2
12.044 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.044 * [taylor]: Taking taylor expansion of 1/2 in k
12.044 * [backup-simplify]: Simplify 1/2 into 1/2
12.044 * [taylor]: Taking taylor expansion of k in k
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 1 into 1
12.044 * [taylor]: Taking taylor expansion of (log PI) in k
12.044 * [taylor]: Taking taylor expansion of PI in k
12.044 * [backup-simplify]: Simplify PI into PI
12.045 * [backup-simplify]: Simplify (log PI) into (log PI)
12.045 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.046 * [backup-simplify]: Simplify (- 0) into 0
12.046 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.047 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.049 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.049 * [taylor]: Taking taylor expansion of k in k
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 1 into 1
12.049 * [backup-simplify]: Simplify (/ 1 1) into 1
12.050 * [backup-simplify]: Simplify (sqrt 0) into 0
12.051 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.051 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
12.051 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
12.051 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
12.051 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
12.051 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
12.051 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.051 * [taylor]: Taking taylor expansion of 1/2 in n
12.051 * [backup-simplify]: Simplify 1/2 into 1/2
12.051 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.051 * [taylor]: Taking taylor expansion of 1/2 in n
12.051 * [backup-simplify]: Simplify 1/2 into 1/2
12.051 * [taylor]: Taking taylor expansion of k in n
12.052 * [backup-simplify]: Simplify k into k
12.052 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
12.052 * [taylor]: Taking taylor expansion of (* 2 n) in n
12.052 * [taylor]: Taking taylor expansion of 2 in n
12.052 * [backup-simplify]: Simplify 2 into 2
12.052 * [taylor]: Taking taylor expansion of n in n
12.052 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify 1 into 1
12.052 * [backup-simplify]: Simplify (* 2 0) into 0
12.053 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
12.053 * [backup-simplify]: Simplify (log 2) into (log 2)
12.053 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.053 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.054 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.054 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
12.055 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
12.055 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
12.055 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
12.055 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
12.055 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
12.055 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.055 * [taylor]: Taking taylor expansion of 1/2 in n
12.055 * [backup-simplify]: Simplify 1/2 into 1/2
12.055 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.056 * [taylor]: Taking taylor expansion of 1/2 in n
12.056 * [backup-simplify]: Simplify 1/2 into 1/2
12.056 * [taylor]: Taking taylor expansion of k in n
12.056 * [backup-simplify]: Simplify k into k
12.056 * [taylor]: Taking taylor expansion of (log PI) in n
12.056 * [taylor]: Taking taylor expansion of PI in n
12.056 * [backup-simplify]: Simplify PI into PI
12.056 * [backup-simplify]: Simplify (log PI) into (log PI)
12.056 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.056 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.056 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.057 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
12.057 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
12.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.058 * [taylor]: Taking taylor expansion of k in n
12.058 * [backup-simplify]: Simplify k into k
12.058 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.058 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.058 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
12.058 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
12.058 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
12.058 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
12.058 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
12.058 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.058 * [taylor]: Taking taylor expansion of 1/2 in n
12.058 * [backup-simplify]: Simplify 1/2 into 1/2
12.058 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.058 * [taylor]: Taking taylor expansion of 1/2 in n
12.058 * [backup-simplify]: Simplify 1/2 into 1/2
12.058 * [taylor]: Taking taylor expansion of k in n
12.058 * [backup-simplify]: Simplify k into k
12.058 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
12.058 * [taylor]: Taking taylor expansion of (* 2 n) in n
12.058 * [taylor]: Taking taylor expansion of 2 in n
12.058 * [backup-simplify]: Simplify 2 into 2
12.058 * [taylor]: Taking taylor expansion of n in n
12.058 * [backup-simplify]: Simplify 0 into 0
12.059 * [backup-simplify]: Simplify 1 into 1
12.059 * [backup-simplify]: Simplify (* 2 0) into 0
12.060 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
12.060 * [backup-simplify]: Simplify (log 2) into (log 2)
12.060 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.060 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.060 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.061 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
12.062 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
12.062 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
12.062 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
12.062 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
12.063 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
12.063 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.063 * [taylor]: Taking taylor expansion of 1/2 in n
12.063 * [backup-simplify]: Simplify 1/2 into 1/2
12.063 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.063 * [taylor]: Taking taylor expansion of 1/2 in n
12.063 * [backup-simplify]: Simplify 1/2 into 1/2
12.063 * [taylor]: Taking taylor expansion of k in n
12.063 * [backup-simplify]: Simplify k into k
12.063 * [taylor]: Taking taylor expansion of (log PI) in n
12.063 * [taylor]: Taking taylor expansion of PI in n
12.063 * [backup-simplify]: Simplify PI into PI
12.063 * [backup-simplify]: Simplify (log PI) into (log PI)
12.063 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.063 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.064 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.064 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
12.065 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
12.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.065 * [taylor]: Taking taylor expansion of k in n
12.065 * [backup-simplify]: Simplify k into k
12.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.065 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.066 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
12.067 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
12.067 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
12.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.067 * [taylor]: Taking taylor expansion of k in k
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 1 into 1
12.068 * [backup-simplify]: Simplify (/ 1 1) into 1
12.068 * [backup-simplify]: Simplify (sqrt 0) into 0
12.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.069 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
12.069 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
12.069 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
12.069 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
12.069 * [taylor]: Taking taylor expansion of (log 2) in k
12.069 * [taylor]: Taking taylor expansion of 2 in k
12.069 * [backup-simplify]: Simplify 2 into 2
12.070 * [backup-simplify]: Simplify (log 2) into (log 2)
12.070 * [taylor]: Taking taylor expansion of (log n) in k
12.070 * [taylor]: Taking taylor expansion of n in k
12.070 * [backup-simplify]: Simplify n into n
12.070 * [backup-simplify]: Simplify (log n) into (log n)
12.070 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.070 * [taylor]: Taking taylor expansion of 1/2 in k
12.070 * [backup-simplify]: Simplify 1/2 into 1/2
12.070 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.070 * [taylor]: Taking taylor expansion of 1/2 in k
12.070 * [backup-simplify]: Simplify 1/2 into 1/2
12.070 * [taylor]: Taking taylor expansion of k in k
12.070 * [backup-simplify]: Simplify 0 into 0
12.070 * [backup-simplify]: Simplify 1 into 1
12.071 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
12.071 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.071 * [backup-simplify]: Simplify (- 0) into 0
12.072 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.072 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
12.073 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
12.073 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.073 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.073 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.073 * [taylor]: Taking taylor expansion of 1/2 in k
12.073 * [backup-simplify]: Simplify 1/2 into 1/2
12.073 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.073 * [taylor]: Taking taylor expansion of 1/2 in k
12.073 * [backup-simplify]: Simplify 1/2 into 1/2
12.073 * [taylor]: Taking taylor expansion of k in k
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [taylor]: Taking taylor expansion of (log PI) in k
12.073 * [taylor]: Taking taylor expansion of PI in k
12.073 * [backup-simplify]: Simplify PI into PI
12.074 * [backup-simplify]: Simplify (log PI) into (log PI)
12.074 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.074 * [backup-simplify]: Simplify (- 0) into 0
12.075 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.076 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.078 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.079 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
12.080 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
12.080 * [backup-simplify]: Simplify 0 into 0
12.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
12.082 * [backup-simplify]: Simplify (- 0) into 0
12.082 * [backup-simplify]: Simplify (+ 0 0) into 0
12.083 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
12.084 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
12.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
12.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
12.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
12.088 * [backup-simplify]: Simplify (- 0) into 0
12.088 * [backup-simplify]: Simplify (+ 0 0) into 0
12.089 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
12.090 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
12.091 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.092 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
12.092 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
12.093 * [taylor]: Taking taylor expansion of 0 in k
12.093 * [backup-simplify]: Simplify 0 into 0
12.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.095 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.096 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
12.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
12.116 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.117 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.117 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
12.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.120 * [backup-simplify]: Simplify (+ 0 0) into 0
12.121 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
12.122 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
12.127 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
12.131 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
12.132 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
12.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
12.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
12.135 * [backup-simplify]: Simplify (- 0) into 0
12.136 * [backup-simplify]: Simplify (+ 0 0) into 0
12.136 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
12.137 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
12.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
12.140 * [backup-simplify]: Simplify (- 0) into 0
12.141 * [backup-simplify]: Simplify (+ 0 0) into 0
12.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
12.142 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
12.143 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.144 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
12.145 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
12.145 * [taylor]: Taking taylor expansion of 0 in k
12.145 * [backup-simplify]: Simplify 0 into 0
12.145 * [backup-simplify]: Simplify 0 into 0
12.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.148 * [backup-simplify]: Simplify (- 0) into 0
12.148 * [backup-simplify]: Simplify (+ 0 0) into 0
12.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
12.156 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
12.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.156 * [backup-simplify]: Simplify (- 0) into 0
12.157 * [backup-simplify]: Simplify (+ 0 0) into 0
12.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
12.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.160 * [backup-simplify]: Simplify (+ 0 0) into 0
12.160 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
12.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
12.169 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
12.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.172 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.188 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
12.194 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
12.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
12.202 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) 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 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.207 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
12.214 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
12.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
12.216 * [backup-simplify]: Simplify (- 0) into 0
12.216 * [backup-simplify]: Simplify (+ 0 0) into 0
12.217 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
12.218 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
12.220 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.222 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
12.223 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
12.223 * [taylor]: Taking taylor expansion of 0 in k
12.223 * [backup-simplify]: Simplify 0 into 0
12.224 * [backup-simplify]: Simplify 0 into 0
12.224 * [backup-simplify]: Simplify 0 into 0
12.229 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.231 * [backup-simplify]: Simplify (- 0) into 0
12.231 * [backup-simplify]: Simplify (+ 0 0) into 0
12.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.246 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
12.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.247 * [backup-simplify]: Simplify (- 0) into 0
12.247 * [backup-simplify]: Simplify (+ 0 0) into 0
12.250 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
12.252 * [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
12.252 * [backup-simplify]: Simplify (+ 0 0) into 0
12.253 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
12.256 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
12.271 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
12.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.299 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
12.320 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
12.357 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
12.358 * [backup-simplify]: Simplify (* (pow (* 2 (/ 1 n)) (- 1/2 (* (/ 1 k) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 k) 1/2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
12.358 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
12.358 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
12.358 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
12.358 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.358 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.358 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.358 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.358 * [taylor]: Taking taylor expansion of 1/2 in k
12.358 * [backup-simplify]: Simplify 1/2 into 1/2
12.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.358 * [taylor]: Taking taylor expansion of 1/2 in k
12.358 * [backup-simplify]: Simplify 1/2 into 1/2
12.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.358 * [taylor]: Taking taylor expansion of k in k
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 1 into 1
12.359 * [backup-simplify]: Simplify (/ 1 1) into 1
12.359 * [taylor]: Taking taylor expansion of (log PI) in k
12.359 * [taylor]: Taking taylor expansion of PI in k
12.359 * [backup-simplify]: Simplify PI into PI
12.359 * [backup-simplify]: Simplify (log PI) into (log PI)
12.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.360 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.361 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.362 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.362 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.362 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
12.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
12.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
12.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.363 * [taylor]: Taking taylor expansion of 1/2 in k
12.363 * [backup-simplify]: Simplify 1/2 into 1/2
12.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.363 * [taylor]: Taking taylor expansion of 1/2 in k
12.363 * [backup-simplify]: Simplify 1/2 into 1/2
12.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.363 * [taylor]: Taking taylor expansion of k in k
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [backup-simplify]: Simplify (/ 1 1) into 1
12.363 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
12.363 * [taylor]: Taking taylor expansion of (/ 2 n) in k
12.363 * [taylor]: Taking taylor expansion of 2 in k
12.363 * [backup-simplify]: Simplify 2 into 2
12.363 * [taylor]: Taking taylor expansion of n in k
12.363 * [backup-simplify]: Simplify n into n
12.363 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
12.364 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
12.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.364 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.365 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.365 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
12.365 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
12.365 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.365 * [taylor]: Taking taylor expansion of k in k
12.365 * [backup-simplify]: Simplify 0 into 0
12.365 * [backup-simplify]: Simplify 1 into 1
12.366 * [backup-simplify]: Simplify (sqrt 0) into 0
12.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.367 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
12.368 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
12.368 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
12.368 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
12.368 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
12.368 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.368 * [taylor]: Taking taylor expansion of 1/2 in n
12.368 * [backup-simplify]: Simplify 1/2 into 1/2
12.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.368 * [taylor]: Taking taylor expansion of 1/2 in n
12.368 * [backup-simplify]: Simplify 1/2 into 1/2
12.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.368 * [taylor]: Taking taylor expansion of k in n
12.368 * [backup-simplify]: Simplify k into k
12.368 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.368 * [taylor]: Taking taylor expansion of (log PI) in n
12.368 * [taylor]: Taking taylor expansion of PI in n
12.368 * [backup-simplify]: Simplify PI into PI
12.368 * [backup-simplify]: Simplify (log PI) into (log PI)
12.369 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.369 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.369 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.370 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
12.370 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.370 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
12.370 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
12.370 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
12.370 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.370 * [taylor]: Taking taylor expansion of 1/2 in n
12.370 * [backup-simplify]: Simplify 1/2 into 1/2
12.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.370 * [taylor]: Taking taylor expansion of 1/2 in n
12.370 * [backup-simplify]: Simplify 1/2 into 1/2
12.371 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 k) into (/ 1 k)
12.371 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
12.371 * [taylor]: Taking taylor expansion of (/ 2 n) in n
12.371 * [taylor]: Taking taylor expansion of 2 in n
12.371 * [backup-simplify]: Simplify 2 into 2
12.371 * [taylor]: Taking taylor expansion of n in n
12.371 * [backup-simplify]: Simplify 0 into 0
12.371 * [backup-simplify]: Simplify 1 into 1
12.371 * [backup-simplify]: Simplify (/ 2 1) into 2
12.372 * [backup-simplify]: Simplify (log 2) into (log 2)
12.372 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.372 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.372 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.373 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
12.374 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.374 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.374 * [taylor]: Taking taylor expansion of k in n
12.374 * [backup-simplify]: Simplify k into k
12.374 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.374 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
12.374 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
12.374 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
12.374 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
12.374 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
12.375 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.375 * [taylor]: Taking taylor expansion of 1/2 in n
12.375 * [backup-simplify]: Simplify 1/2 into 1/2
12.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.375 * [taylor]: Taking taylor expansion of 1/2 in n
12.375 * [backup-simplify]: Simplify 1/2 into 1/2
12.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.375 * [taylor]: Taking taylor expansion of k in n
12.375 * [backup-simplify]: Simplify k into k
12.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.375 * [taylor]: Taking taylor expansion of (log PI) in n
12.375 * [taylor]: Taking taylor expansion of PI in n
12.375 * [backup-simplify]: Simplify PI into PI
12.375 * [backup-simplify]: Simplify (log PI) into (log PI)
12.375 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.376 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.376 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.376 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
12.377 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.377 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
12.377 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
12.377 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
12.377 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.377 * [taylor]: Taking taylor expansion of 1/2 in n
12.377 * [backup-simplify]: Simplify 1/2 into 1/2
12.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.377 * [taylor]: Taking taylor expansion of 1/2 in n
12.377 * [backup-simplify]: Simplify 1/2 into 1/2
12.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.377 * [taylor]: Taking taylor expansion of k in n
12.377 * [backup-simplify]: Simplify k into k
12.377 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.377 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
12.377 * [taylor]: Taking taylor expansion of (/ 2 n) in n
12.377 * [taylor]: Taking taylor expansion of 2 in n
12.377 * [backup-simplify]: Simplify 2 into 2
12.377 * [taylor]: Taking taylor expansion of n in n
12.377 * [backup-simplify]: Simplify 0 into 0
12.377 * [backup-simplify]: Simplify 1 into 1
12.378 * [backup-simplify]: Simplify (/ 2 1) into 2
12.378 * [backup-simplify]: Simplify (log 2) into (log 2)
12.378 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.378 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.379 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.380 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
12.380 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.380 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.381 * [taylor]: Taking taylor expansion of k in n
12.381 * [backup-simplify]: Simplify k into k
12.381 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.382 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
12.382 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
12.382 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
12.382 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.382 * [taylor]: Taking taylor expansion of k in k
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.383 * [backup-simplify]: Simplify (sqrt 0) into 0
12.385 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.385 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
12.385 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.385 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.385 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.385 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.385 * [taylor]: Taking taylor expansion of 1/2 in k
12.385 * [backup-simplify]: Simplify 1/2 into 1/2
12.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.385 * [taylor]: Taking taylor expansion of 1/2 in k
12.385 * [backup-simplify]: Simplify 1/2 into 1/2
12.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.385 * [taylor]: Taking taylor expansion of k in k
12.385 * [backup-simplify]: Simplify 0 into 0
12.385 * [backup-simplify]: Simplify 1 into 1
12.386 * [backup-simplify]: Simplify (/ 1 1) into 1
12.386 * [taylor]: Taking taylor expansion of (log PI) in k
12.386 * [taylor]: Taking taylor expansion of PI in k
12.386 * [backup-simplify]: Simplify PI into PI
12.386 * [backup-simplify]: Simplify (log PI) into (log PI)
12.387 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.387 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.388 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.389 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.389 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.389 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
12.389 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
12.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.389 * [taylor]: Taking taylor expansion of 1/2 in k
12.389 * [backup-simplify]: Simplify 1/2 into 1/2
12.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.389 * [taylor]: Taking taylor expansion of 1/2 in k
12.389 * [backup-simplify]: Simplify 1/2 into 1/2
12.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.390 * [taylor]: Taking taylor expansion of k in k
12.390 * [backup-simplify]: Simplify 0 into 0
12.390 * [backup-simplify]: Simplify 1 into 1
12.390 * [backup-simplify]: Simplify (/ 1 1) into 1
12.390 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
12.390 * [taylor]: Taking taylor expansion of (log 2) in k
12.390 * [taylor]: Taking taylor expansion of 2 in k
12.390 * [backup-simplify]: Simplify 2 into 2
12.390 * [backup-simplify]: Simplify (log 2) into (log 2)
12.391 * [taylor]: Taking taylor expansion of (log n) in k
12.391 * [taylor]: Taking taylor expansion of n in k
12.391 * [backup-simplify]: Simplify n into n
12.391 * [backup-simplify]: Simplify (log n) into (log n)
12.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.391 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.392 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.392 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.392 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
12.393 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
12.393 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.394 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
12.395 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.395 * [backup-simplify]: Simplify 0 into 0
12.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
12.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.398 * [backup-simplify]: Simplify (- 0) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.400 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.400 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
12.401 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.404 * [backup-simplify]: Simplify (- 0) into 0
12.405 * [backup-simplify]: Simplify (+ 0 0) into 0
12.405 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
12.407 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
12.407 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.408 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
12.408 * [taylor]: Taking taylor expansion of 0 in k
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.409 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.410 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.411 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
12.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
12.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.418 * [backup-simplify]: Simplify (- 0) into 0
12.418 * [backup-simplify]: Simplify (+ 0 0) into 0
12.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.420 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
12.422 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.427 * [backup-simplify]: Simplify (- 0) into 0
12.427 * [backup-simplify]: Simplify (+ 0 0) into 0
12.428 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
12.430 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.431 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
12.432 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
12.432 * [taylor]: Taking taylor expansion of 0 in k
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
12.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.439 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
12.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.447 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
12.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.449 * [backup-simplify]: Simplify (- 0) into 0
12.450 * [backup-simplify]: Simplify (+ 0 0) into 0
12.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.452 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
12.454 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.459 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.461 * [backup-simplify]: Simplify (- 0) into 0
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.466 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.467 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
12.469 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
12.469 * [taylor]: Taking taylor expansion of 0 in k
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
12.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.478 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.481 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
12.482 * [backup-simplify]: Simplify (* (pow (* 2 (/ 1 (- n))) (- 1/2 (* (/ 1 (- k)) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.482 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
12.482 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
12.482 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.482 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.482 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
12.482 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
12.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.482 * [taylor]: Taking taylor expansion of 1/2 in k
12.482 * [backup-simplify]: Simplify 1/2 into 1/2
12.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.482 * [taylor]: Taking taylor expansion of k in k
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.490 * [backup-simplify]: Simplify (/ 1 1) into 1
12.490 * [taylor]: Taking taylor expansion of 1/2 in k
12.490 * [backup-simplify]: Simplify 1/2 into 1/2
12.490 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
12.490 * [taylor]: Taking taylor expansion of (/ -2 n) in k
12.491 * [taylor]: Taking taylor expansion of -2 in k
12.491 * [backup-simplify]: Simplify -2 into -2
12.491 * [taylor]: Taking taylor expansion of n in k
12.491 * [backup-simplify]: Simplify n into n
12.491 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
12.491 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
12.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.492 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
12.493 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
12.493 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.493 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.493 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.493 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.493 * [taylor]: Taking taylor expansion of 1/2 in k
12.493 * [backup-simplify]: Simplify 1/2 into 1/2
12.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.493 * [taylor]: Taking taylor expansion of k in k
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify 1 into 1
12.493 * [backup-simplify]: Simplify (/ 1 1) into 1
12.493 * [taylor]: Taking taylor expansion of 1/2 in k
12.493 * [backup-simplify]: Simplify 1/2 into 1/2
12.493 * [taylor]: Taking taylor expansion of (log PI) in k
12.493 * [taylor]: Taking taylor expansion of PI in k
12.493 * [backup-simplify]: Simplify PI into PI
12.494 * [backup-simplify]: Simplify (log PI) into (log PI)
12.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.496 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.496 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.496 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.496 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.496 * [taylor]: Taking taylor expansion of -1 in k
12.496 * [backup-simplify]: Simplify -1 into -1
12.496 * [taylor]: Taking taylor expansion of k in k
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.497 * [backup-simplify]: Simplify (/ -1 1) into -1
12.497 * [backup-simplify]: Simplify (sqrt 0) into 0
12.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.499 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.499 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.499 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
12.499 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.499 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.500 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
12.500 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
12.500 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.500 * [taylor]: Taking taylor expansion of 1/2 in n
12.500 * [backup-simplify]: Simplify 1/2 into 1/2
12.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.500 * [taylor]: Taking taylor expansion of k in n
12.500 * [backup-simplify]: Simplify k into k
12.500 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.500 * [taylor]: Taking taylor expansion of 1/2 in n
12.500 * [backup-simplify]: Simplify 1/2 into 1/2
12.500 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
12.500 * [taylor]: Taking taylor expansion of (/ -2 n) in n
12.500 * [taylor]: Taking taylor expansion of -2 in n
12.500 * [backup-simplify]: Simplify -2 into -2
12.500 * [taylor]: Taking taylor expansion of n in n
12.500 * [backup-simplify]: Simplify 0 into 0
12.500 * [backup-simplify]: Simplify 1 into 1
12.501 * [backup-simplify]: Simplify (/ -2 1) into -2
12.501 * [backup-simplify]: Simplify (log -2) into (log -2)
12.501 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.501 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.502 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.502 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
12.503 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.503 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.503 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
12.503 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
12.503 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.503 * [taylor]: Taking taylor expansion of 1/2 in n
12.503 * [backup-simplify]: Simplify 1/2 into 1/2
12.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.503 * [taylor]: Taking taylor expansion of k in n
12.503 * [backup-simplify]: Simplify k into k
12.503 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.503 * [taylor]: Taking taylor expansion of 1/2 in n
12.503 * [backup-simplify]: Simplify 1/2 into 1/2
12.503 * [taylor]: Taking taylor expansion of (log PI) in n
12.503 * [taylor]: Taking taylor expansion of PI in n
12.503 * [backup-simplify]: Simplify PI into PI
12.504 * [backup-simplify]: Simplify (log PI) into (log PI)
12.504 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.504 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.505 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
12.505 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.505 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.505 * [taylor]: Taking taylor expansion of -1 in n
12.505 * [backup-simplify]: Simplify -1 into -1
12.505 * [taylor]: Taking taylor expansion of k in n
12.505 * [backup-simplify]: Simplify k into k
12.505 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.505 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.506 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.506 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.507 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.507 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
12.507 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.507 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.507 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
12.507 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
12.507 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.507 * [taylor]: Taking taylor expansion of 1/2 in n
12.507 * [backup-simplify]: Simplify 1/2 into 1/2
12.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.507 * [taylor]: Taking taylor expansion of k in n
12.507 * [backup-simplify]: Simplify k into k
12.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.508 * [taylor]: Taking taylor expansion of 1/2 in n
12.508 * [backup-simplify]: Simplify 1/2 into 1/2
12.508 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
12.508 * [taylor]: Taking taylor expansion of (/ -2 n) in n
12.508 * [taylor]: Taking taylor expansion of -2 in n
12.508 * [backup-simplify]: Simplify -2 into -2
12.508 * [taylor]: Taking taylor expansion of n in n
12.508 * [backup-simplify]: Simplify 0 into 0
12.508 * [backup-simplify]: Simplify 1 into 1
12.508 * [backup-simplify]: Simplify (/ -2 1) into -2
12.509 * [backup-simplify]: Simplify (log -2) into (log -2)
12.509 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.509 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.510 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
12.511 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.511 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.511 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
12.511 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
12.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.511 * [taylor]: Taking taylor expansion of 1/2 in n
12.511 * [backup-simplify]: Simplify 1/2 into 1/2
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 1/2 in n
12.511 * [backup-simplify]: Simplify 1/2 into 1/2
12.511 * [taylor]: Taking taylor expansion of (log PI) in n
12.511 * [taylor]: Taking taylor expansion of PI in n
12.511 * [backup-simplify]: Simplify PI into PI
12.512 * [backup-simplify]: Simplify (log PI) into (log PI)
12.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.512 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.512 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
12.513 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.513 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.513 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.513 * [taylor]: Taking taylor expansion of -1 in n
12.513 * [backup-simplify]: Simplify -1 into -1
12.513 * [taylor]: Taking taylor expansion of k in n
12.513 * [backup-simplify]: Simplify k into k
12.513 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.513 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.513 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.514 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.515 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.515 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
12.515 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.515 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
12.515 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
12.515 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.515 * [taylor]: Taking taylor expansion of 1/2 in k
12.515 * [backup-simplify]: Simplify 1/2 into 1/2
12.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.515 * [taylor]: Taking taylor expansion of k in k
12.515 * [backup-simplify]: Simplify 0 into 0
12.515 * [backup-simplify]: Simplify 1 into 1
12.516 * [backup-simplify]: Simplify (/ 1 1) into 1
12.516 * [taylor]: Taking taylor expansion of 1/2 in k
12.516 * [backup-simplify]: Simplify 1/2 into 1/2
12.516 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
12.516 * [taylor]: Taking taylor expansion of (log -2) in k
12.516 * [taylor]: Taking taylor expansion of -2 in k
12.516 * [backup-simplify]: Simplify -2 into -2
12.516 * [backup-simplify]: Simplify (log -2) into (log -2)
12.516 * [taylor]: Taking taylor expansion of (log n) in k
12.516 * [taylor]: Taking taylor expansion of n in k
12.516 * [backup-simplify]: Simplify n into n
12.516 * [backup-simplify]: Simplify (log n) into (log n)
12.517 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.517 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.517 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.518 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
12.518 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
12.519 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.519 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.519 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.519 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.519 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.519 * [taylor]: Taking taylor expansion of 1/2 in k
12.519 * [backup-simplify]: Simplify 1/2 into 1/2
12.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.519 * [taylor]: Taking taylor expansion of k in k
12.519 * [backup-simplify]: Simplify 0 into 0
12.519 * [backup-simplify]: Simplify 1 into 1
12.520 * [backup-simplify]: Simplify (/ 1 1) into 1
12.520 * [taylor]: Taking taylor expansion of 1/2 in k
12.520 * [backup-simplify]: Simplify 1/2 into 1/2
12.520 * [taylor]: Taking taylor expansion of (log PI) in k
12.520 * [taylor]: Taking taylor expansion of PI in k
12.520 * [backup-simplify]: Simplify PI into PI
12.520 * [backup-simplify]: Simplify (log PI) into (log PI)
12.521 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.521 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.522 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.523 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.523 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.523 * [taylor]: Taking taylor expansion of -1 in k
12.523 * [backup-simplify]: Simplify -1 into -1
12.523 * [taylor]: Taking taylor expansion of k in k
12.523 * [backup-simplify]: Simplify 0 into 0
12.523 * [backup-simplify]: Simplify 1 into 1
12.523 * [backup-simplify]: Simplify (/ -1 1) into -1
12.524 * [backup-simplify]: Simplify (sqrt 0) into 0
12.525 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.526 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.527 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.527 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.530 * [backup-simplify]: Simplify (+ 0 0) into 0
12.531 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
12.532 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
12.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
12.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
12.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.536 * [backup-simplify]: Simplify (+ 0 0) into 0
12.536 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.537 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
12.538 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.539 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
12.540 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
12.540 * [taylor]: Taking taylor expansion of 0 in k
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 0 into 0
12.541 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
12.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.546 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.547 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.550 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.552 * [backup-simplify]: Simplify (+ 0 0) into 0
12.553 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
12.554 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.559 * [backup-simplify]: Simplify (+ 0 0) into 0
12.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.561 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
12.562 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.563 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
12.563 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
12.565 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
12.565 * [taylor]: Taking taylor expansion of 0 in k
12.565 * [backup-simplify]: Simplify 0 into 0
12.565 * [backup-simplify]: Simplify 0 into 0
12.565 * [backup-simplify]: Simplify 0 into 0
12.566 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
12.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.573 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.574 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.576 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
12.577 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.577 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k))))
12.577 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in (k) around 0
12.577 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
12.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.577 * [taylor]: Taking taylor expansion of k in k
12.577 * [backup-simplify]: Simplify 0 into 0
12.577 * [backup-simplify]: Simplify 1 into 1
12.577 * [backup-simplify]: Simplify (/ 1 1) into 1
12.578 * [backup-simplify]: Simplify (sqrt 0) into 0
12.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.579 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.579 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.579 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.579 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.579 * [taylor]: Taking taylor expansion of 1/2 in k
12.579 * [backup-simplify]: Simplify 1/2 into 1/2
12.579 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.579 * [taylor]: Taking taylor expansion of 1/2 in k
12.579 * [backup-simplify]: Simplify 1/2 into 1/2
12.579 * [taylor]: Taking taylor expansion of k in k
12.579 * [backup-simplify]: Simplify 0 into 0
12.579 * [backup-simplify]: Simplify 1 into 1
12.579 * [taylor]: Taking taylor expansion of (log PI) in k
12.579 * [taylor]: Taking taylor expansion of PI in k
12.579 * [backup-simplify]: Simplify PI into PI
12.580 * [backup-simplify]: Simplify (log PI) into (log PI)
12.580 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.581 * [backup-simplify]: Simplify (- 0) into 0
12.581 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.582 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.583 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.583 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
12.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.583 * [taylor]: Taking taylor expansion of k in k
12.583 * [backup-simplify]: Simplify 0 into 0
12.583 * [backup-simplify]: Simplify 1 into 1
12.584 * [backup-simplify]: Simplify (/ 1 1) into 1
12.584 * [backup-simplify]: Simplify (sqrt 0) into 0
12.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.585 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.585 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.585 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.586 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.586 * [taylor]: Taking taylor expansion of 1/2 in k
12.586 * [backup-simplify]: Simplify 1/2 into 1/2
12.586 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.586 * [taylor]: Taking taylor expansion of 1/2 in k
12.586 * [backup-simplify]: Simplify 1/2 into 1/2
12.586 * [taylor]: Taking taylor expansion of k in k
12.586 * [backup-simplify]: Simplify 0 into 0
12.586 * [backup-simplify]: Simplify 1 into 1
12.586 * [taylor]: Taking taylor expansion of (log PI) in k
12.586 * [taylor]: Taking taylor expansion of PI in k
12.586 * [backup-simplify]: Simplify PI into PI
12.586 * [backup-simplify]: Simplify (log PI) into (log PI)
12.587 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.587 * [backup-simplify]: Simplify (- 0) into 0
12.587 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.588 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.590 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.590 * [backup-simplify]: Simplify (* 0 (pow PI 1/2)) into 0
12.590 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.593 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.593 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
12.606 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
12.610 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))) into (- (* +nan.0 (sqrt PI)))
12.612 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI)))
12.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.619 * [backup-simplify]: Simplify (- 0) into 0
12.619 * [backup-simplify]: Simplify (+ 0 0) into 0
12.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
12.638 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
12.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.647 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
12.651 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
12.654 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.655 * [backup-simplify]: Simplify (- 0) into 0
12.655 * [backup-simplify]: Simplify (+ 0 0) into 0
12.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
12.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.695 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* +nan.0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
12.712 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
12.738 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) k) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
12.739 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
12.739 * [approximate]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k) around 0
12.739 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
12.739 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.739 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.739 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.739 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.739 * [taylor]: Taking taylor expansion of 1/2 in k
12.739 * [backup-simplify]: Simplify 1/2 into 1/2
12.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.739 * [taylor]: Taking taylor expansion of 1/2 in k
12.739 * [backup-simplify]: Simplify 1/2 into 1/2
12.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.739 * [taylor]: Taking taylor expansion of k in k
12.739 * [backup-simplify]: Simplify 0 into 0
12.739 * [backup-simplify]: Simplify 1 into 1
12.740 * [backup-simplify]: Simplify (/ 1 1) into 1
12.740 * [taylor]: Taking taylor expansion of (log PI) in k
12.740 * [taylor]: Taking taylor expansion of PI in k
12.740 * [backup-simplify]: Simplify PI into PI
12.740 * [backup-simplify]: Simplify (log PI) into (log PI)
12.741 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.741 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.742 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.743 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.743 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.743 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.743 * [taylor]: Taking taylor expansion of k in k
12.743 * [backup-simplify]: Simplify 0 into 0
12.744 * [backup-simplify]: Simplify 1 into 1
12.744 * [backup-simplify]: Simplify (sqrt 0) into 0
12.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.745 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
12.745 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.745 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.745 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.746 * [taylor]: Taking taylor expansion of 1/2 in k
12.746 * [backup-simplify]: Simplify 1/2 into 1/2
12.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.746 * [taylor]: Taking taylor expansion of 1/2 in k
12.746 * [backup-simplify]: Simplify 1/2 into 1/2
12.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.746 * [taylor]: Taking taylor expansion of k in k
12.746 * [backup-simplify]: Simplify 0 into 0
12.746 * [backup-simplify]: Simplify 1 into 1
12.746 * [backup-simplify]: Simplify (/ 1 1) into 1
12.746 * [taylor]: Taking taylor expansion of (log PI) in k
12.746 * [taylor]: Taking taylor expansion of PI in k
12.746 * [backup-simplify]: Simplify PI into PI
12.747 * [backup-simplify]: Simplify (log PI) into (log PI)
12.747 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.748 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.748 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.749 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.750 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.750 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.750 * [taylor]: Taking taylor expansion of k in k
12.750 * [backup-simplify]: Simplify 0 into 0
12.750 * [backup-simplify]: Simplify 1 into 1
12.750 * [backup-simplify]: Simplify (sqrt 0) into 0
12.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.752 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
12.752 * [backup-simplify]: Simplify 0 into 0
12.753 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.753 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.757 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.757 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.758 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.763 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.763 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
12.764 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
12.764 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
12.765 * [approximate]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k) around 0
12.765 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
12.765 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.765 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.765 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.765 * [taylor]: Taking taylor expansion of 1/2 in k
12.765 * [backup-simplify]: Simplify 1/2 into 1/2
12.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.765 * [taylor]: Taking taylor expansion of k in k
12.765 * [backup-simplify]: Simplify 0 into 0
12.765 * [backup-simplify]: Simplify 1 into 1
12.765 * [backup-simplify]: Simplify (/ 1 1) into 1
12.765 * [taylor]: Taking taylor expansion of 1/2 in k
12.766 * [backup-simplify]: Simplify 1/2 into 1/2
12.766 * [taylor]: Taking taylor expansion of (log PI) in k
12.766 * [taylor]: Taking taylor expansion of PI in k
12.766 * [backup-simplify]: Simplify PI into PI
12.766 * [backup-simplify]: Simplify (log PI) into (log PI)
12.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.767 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.768 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.769 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.769 * [taylor]: Taking taylor expansion of -1 in k
12.769 * [backup-simplify]: Simplify -1 into -1
12.769 * [taylor]: Taking taylor expansion of k in k
12.769 * [backup-simplify]: Simplify 0 into 0
12.769 * [backup-simplify]: Simplify 1 into 1
12.769 * [backup-simplify]: Simplify (/ -1 1) into -1
12.770 * [backup-simplify]: Simplify (sqrt 0) into 0
12.778 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.778 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.779 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
12.779 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.779 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.779 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.779 * [taylor]: Taking taylor expansion of 1/2 in k
12.779 * [backup-simplify]: Simplify 1/2 into 1/2
12.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.779 * [taylor]: Taking taylor expansion of k in k
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify 1 into 1
12.779 * [backup-simplify]: Simplify (/ 1 1) into 1
12.779 * [taylor]: Taking taylor expansion of 1/2 in k
12.779 * [backup-simplify]: Simplify 1/2 into 1/2
12.779 * [taylor]: Taking taylor expansion of (log PI) in k
12.779 * [taylor]: Taking taylor expansion of PI in k
12.779 * [backup-simplify]: Simplify PI into PI
12.779 * [backup-simplify]: Simplify (log PI) into (log PI)
12.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.780 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.781 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.781 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.781 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.781 * [taylor]: Taking taylor expansion of -1 in k
12.781 * [backup-simplify]: Simplify -1 into -1
12.781 * [taylor]: Taking taylor expansion of k in k
12.781 * [backup-simplify]: Simplify 0 into 0
12.781 * [backup-simplify]: Simplify 1 into 1
12.781 * [backup-simplify]: Simplify (/ -1 1) into -1
12.782 * [backup-simplify]: Simplify (sqrt 0) into 0
12.782 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.783 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.783 * [backup-simplify]: Simplify (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.785 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.786 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.786 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.790 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.790 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.791 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (/ 1 (- k))) (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
12.791 * * * [progress]: simplifying candidates
12.791 * * * * [progress]: [ 1 / 306 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 2 / 306 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 3 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 4 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* 2 n)) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 5 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* 2 n)) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 6 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (* 1 (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 7 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (* 1 (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 8 / 306 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 n) 1/2) (pow (* 2 n) (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 9 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.791 * * * * [progress]: [ 10 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 11 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) 1) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 12 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) 1/2) (- 1 k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 13 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 14 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 15 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 16 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) 1/2) (pow (* 2 n) (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 17 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) 1/2) (pow (* 2 n) (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 18 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 2 (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 19 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (- 1/2 (* k 1/2))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 20 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 21 / 306 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 22 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 23 / 306 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 24 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 25 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 26 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 27 / 306 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 28 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (log1p (expm1 (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.792 * * * * [progress]: [ 29 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (expm1 (log1p (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.792 * * * * [progress]: [ 30 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
12.792 * * * * [progress]: [ 31 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
12.792 * * * * [progress]: [ 32 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (* 1 (- 1/2 (* k 1/2)))) (sqrt k))))>
12.792 * * * * [progress]: [ 33 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI 1/2) (pow PI (* k 1/2))) (sqrt k))))>
12.792 * * * * [progress]: [ 34 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2)))) (sqrt k))))>
12.792 * * * * [progress]: [ 35 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (pow PI (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 36 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (pow PI 1) (- 1/2 (* k 1/2))) (sqrt k))))>
12.793 * * * * [progress]: [ 37 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (pow PI 1/2) (- 1 k)) (sqrt k))))>
12.793 * * * * [progress]: [ 38 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
12.793 * * * * [progress]: [ 39 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
12.793 * * * * [progress]: [ 40 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI (fma 1 1/2 (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
12.793 * * * * [progress]: [ 41 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI 1/2) (pow PI (- (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 42 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI 1/2) (pow PI (- (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 43 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (pow (cbrt PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 44 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow (sqrt PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 45 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow 1 (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 46 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (pow PI (- 1/2 (* k 1/2))) 1) (sqrt k))))>
12.793 * * * * [progress]: [ 47 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (log (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 48 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (log (exp (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 49 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 50 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (cbrt (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 51 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 52 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* 1 (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.793 * * * * [progress]: [ 53 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (pow PI (/ (- 1/2 (* k 1/2)) 2)) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt k))))>
12.793 * * * * [progress]: [ 54 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (posit16->real (real->posit16 (pow PI (- 1/2 (* k 1/2))))) (sqrt k))))>
12.793 * * * * [progress]: [ 55 / 306 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.793 * * * * [progress]: [ 56 / 306 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.793 * * * * [progress]: [ 57 / 306 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) 1))>
12.793 * * * * [progress]: [ 58 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.793 * * * * [progress]: [ 59 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.793 * * * * [progress]: [ 60 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 61 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 62 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 63 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 64 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 65 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 66 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 67 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 68 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 69 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 70 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 71 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 72 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))))>
12.794 * * * * [progress]: [ 73 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 74 / 306 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 75 / 306 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 76 / 306 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
12.794 * * * * [progress]: [ 77 / 306 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 78 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 79 / 306 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 80 / 306 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 81 / 306 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) 1/2) (pow PI (- 1/2 (* k 1/2)))) (* (pow (* 2 n) (* k 1/2)) (sqrt k))))>
12.794 * * * * [progress]: [ 82 / 306 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.794 * * * * [progress]: [ 83 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.794 * * * * [progress]: [ 84 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 85 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 86 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 87 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 88 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 89 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 90 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.795 * * * * [progress]: [ 91 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 92 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 93 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 94 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 95 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 96 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.795 * * * * [progress]: [ 97 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.795 * * * * [progress]: [ 98 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.795 * * * * [progress]: [ 99 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))))>
12.795 * * * * [progress]: [ 100 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))))>
12.795 * * * * [progress]: [ 101 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.795 * * * * [progress]: [ 102 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.795 * * * * [progress]: [ 103 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.795 * * * * [progress]: [ 104 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.795 * * * * [progress]: [ 105 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))))>
12.796 * * * * [progress]: [ 106 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))))>
12.796 * * * * [progress]: [ 107 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 108 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.796 * * * * [progress]: [ 109 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 110 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.796 * * * * [progress]: [ 111 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))))>
12.796 * * * * [progress]: [ 112 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))))>
12.796 * * * * [progress]: [ 113 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 114 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.796 * * * * [progress]: [ 115 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 116 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))))>
12.796 * * * * [progress]: [ 117 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k)))))>
12.796 * * * * [progress]: [ 118 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k)))))>
12.796 * * * * [progress]: [ 119 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 120 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* k 1/2))) (sqrt k))))>
12.796 * * * * [progress]: [ 121 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 122 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* k 1/2))) (sqrt k))))>
12.796 * * * * [progress]: [ 123 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k)))))>
12.796 * * * * [progress]: [ 124 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k)))))>
12.796 * * * * [progress]: [ 125 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))>
12.796 * * * * [progress]: [ 126 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* k 1/2))) (sqrt k))))>
12.796 * * * * [progress]: [ 127 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 128 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 129 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))>
12.797 * * * * [progress]: [ 130 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k)))))>
12.797 * * * * [progress]: [ 131 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 132 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 133 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 134 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1)) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 135 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))>
12.797 * * * * [progress]: [ 136 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k)))))>
12.797 * * * * [progress]: [ 137 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 138 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 139 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 140 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 141 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))>
12.797 * * * * [progress]: [ 142 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k)))))>
12.797 * * * * [progress]: [ 143 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 144 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 145 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 146 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.797 * * * * [progress]: [ 147 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))>
12.797 * * * * [progress]: [ 148 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))))>
12.797 * * * * [progress]: [ 149 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
12.797 * * * * [progress]: [ 150 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.798 * * * * [progress]: [ 151 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 152 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.798 * * * * [progress]: [ 153 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))>
12.798 * * * * [progress]: [ 154 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))))>
12.798 * * * * [progress]: [ 155 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 156 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.798 * * * * [progress]: [ 157 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 158 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
12.798 * * * * [progress]: [ 159 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))>
12.798 * * * * [progress]: [ 160 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k)))))>
12.798 * * * * [progress]: [ 161 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 162 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt 1))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.798 * * * * [progress]: [ 163 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 164 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.798 * * * * [progress]: [ 165 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k)))))>
12.798 * * * * [progress]: [ 166 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (cbrt k)))))>
12.798 * * * * [progress]: [ 167 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 168 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))))>
12.798 * * * * [progress]: [ 169 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))>
12.798 * * * * [progress]: [ 170 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))))>
12.798 * * * * [progress]: [ 171 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.799 * * * * [progress]: [ 172 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (/ 1 (sqrt k))))>
12.799 * * * * [progress]: [ 173 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 174 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 175 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 176 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) 1/2) (* (pow (* 2 n) (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 177 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) 1/2) (* (pow (* 2 n) (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 178 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 179 / 306 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 180 / 306 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 181 / 306 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 182 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.799 * * * * [progress]: [ 183 / 306 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))>
12.799 * * * * [progress]: [ 184 / 306 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (pow (* 2 n) (* k 1/2))))>
12.799 * * * * [progress]: [ 185 / 306 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.799 * * * * [progress]: [ 186 / 306 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))>
12.799 * * * * [progress]: [ 187 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (log1p (expm1 (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.799 * * * * [progress]: [ 188 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (expm1 (log1p (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.799 * * * * [progress]: [ 189 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) 1)))>
12.799 * * * * [progress]: [ 190 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.799 * * * * [progress]: [ 191 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
12.799 * * * * [progress]: [ 192 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))))>
12.799 * * * * [progress]: [ 193 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.799 * * * * [progress]: [ 194 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (log (exp (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.799 * * * * [progress]: [ 195 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
12.799 * * * * [progress]: [ 196 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.800 * * * * [progress]: [ 197 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.800 * * * * [progress]: [ 198 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.800 * * * * [progress]: [ 199 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (- (pow PI (- 1/2 (* k 1/2)))) (- (sqrt k)))))>
12.800 * * * * [progress]: [ 200 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
12.800 * * * * [progress]: [ 201 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
12.800 * * * * [progress]: [ 202 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 203 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 204 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 205 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 206 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
12.800 * * * * [progress]: [ 207 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
12.800 * * * * [progress]: [ 208 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 209 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 210 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 211 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 212 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
12.800 * * * * [progress]: [ 213 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
12.800 * * * * [progress]: [ 214 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 215 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 216 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
12.800 * * * * [progress]: [ 217 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
12.800 * * * * [progress]: [ 218 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k))))))>
12.801 * * * * [progress]: [ 219 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k))))))>
12.801 * * * * [progress]: [ 220 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 221 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 222 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 223 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 224 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k))))))>
12.801 * * * * [progress]: [ 225 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k))))))>
12.801 * * * * [progress]: [ 226 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 227 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 228 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 229 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 230 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
12.801 * * * * [progress]: [ 231 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
12.801 * * * * [progress]: [ 232 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 233 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1)) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 234 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 235 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 236 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
12.801 * * * * [progress]: [ 237 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
12.801 * * * * [progress]: [ 238 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 239 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
12.801 * * * * [progress]: [ 240 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.801 * * * * [progress]: [ 241 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
12.802 * * * * [progress]: [ 242 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
12.802 * * * * [progress]: [ 243 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
12.802 * * * * [progress]: [ 244 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.802 * * * * [progress]: [ 245 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.802 * * * * [progress]: [ 246 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.802 * * * * [progress]: [ 247 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow 1 (- 1/2 (* k 1/2))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.802 * * * * [progress]: [ 248 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))>
12.802 * * * * [progress]: [ 249 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k))))))>
12.802 * * * * [progress]: [ 250 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.802 * * * * [progress]: [ 251 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
12.802 * * * * [progress]: [ 252 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.802 * * * * [progress]: [ 253 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
12.803 * * * * [progress]: [ 254 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))>
12.803 * * * * [progress]: [ 255 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k))))))>
12.803 * * * * [progress]: [ 256 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.803 * * * * [progress]: [ 257 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
12.803 * * * * [progress]: [ 258 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
12.803 * * * * [progress]: [ 259 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
12.803 * * * * [progress]: [ 260 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
12.803 * * * * [progress]: [ 261 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
12.803 * * * * [progress]: [ 262 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.803 * * * * [progress]: [ 263 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.803 * * * * [progress]: [ 264 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
12.803 * * * * [progress]: [ 265 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.804 * * * * [progress]: [ 266 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k))))))>
12.804 * * * * [progress]: [ 267 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (cbrt k))))))>
12.804 * * * * [progress]: [ 268 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.804 * * * * [progress]: [ 269 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k)))))>
12.804 * * * * [progress]: [ 270 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
12.804 * * * * [progress]: [ 271 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k)))))>
12.804 * * * * [progress]: [ 272 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* 1 (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
12.804 * * * * [progress]: [ 273 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (/ 1 (sqrt k)))))>
12.804 * * * * [progress]: [ 274 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (* k 1/2)))))))>
12.804 * * * * [progress]: [ 275 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
12.804 * * * * [progress]: [ 276 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
12.804 * * * * [progress]: [ 277 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
12.804 * * * * [progress]: [ 278 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) (sqrt 1)) (sqrt k))))>
12.804 * * * * [progress]: [ 279 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
12.804 * * * * [progress]: [ 280 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (pow PI (- 1/2 (* k 1/2))) 1) (sqrt k))))>
12.804 * * * * [progress]: [ 281 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k)))))))>
12.804 * * * * [progress]: [ 282 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k)))))))>
12.804 * * * * [progress]: [ 283 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k)))))))>
12.805 * * * * [progress]: [ 284 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (* k 1/2)))))))>
12.805 * * * * [progress]: [ 285 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (* k 1/2)))))))>
12.805 * * * * [progress]: [ 286 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* k 1/2)))))))>
12.805 * * * * [progress]: [ 287 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* k 1/2)))))))>
12.805 * * * * [progress]: [ 288 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (/ (sqrt k) (pow PI (- 1/2 (* k 1/2)))))))>
12.805 * * * * [progress]: [ 289 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (* k 1/2))))))))>
12.805 * * * * [progress]: [ 290 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (* k 1/2))))))))>
12.805 * * * * [progress]: [ 291 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (* k 1/2)))))))>
12.805 * * * * [progress]: [ 292 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (* k 1/2)) 2))))))>
12.805 * * * * [progress]: [ 293 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (sqrt k) (pow PI (* k 1/2))))))>
12.805 * * * * [progress]: [ 294 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (posit16->real (real->posit16 (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
12.805 * * * * [progress]: [ 295 / 306 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.805 * * * * [progress]: [ 296 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.805 * * * * [progress]: [ 297 / 306 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
12.805 * * * * [progress]: [ 298 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k))))>
12.805 * * * * [progress]: [ 299 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
12.805 * * * * [progress]: [ 300 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
12.805 * * * * [progress]: [ 301 / 306 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
12.805 * * * * [progress]: [ 302 / 306 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
12.805 * * * * [progress]: [ 303 / 306 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
12.806 * * * * [progress]: [ 304 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))))>
12.806 * * * * [progress]: [ 305 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
12.806 * * * * [progress]: [ 306 / 306 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))))>
12.809 * [simplify]: Simplifying:
  (expm1 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (log1p (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (* k 1/2))
  (pow (* 2 n) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow (* 2 n) (sqrt (- 1/2 (* k 1/2))))
  (pow (* 2 n) 1)
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (- (* k 1/2)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (- (* k 1/2)))
  (pow 2 (- 1/2 (* k 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (log (pow (* 2 n) (- 1/2 (* k 1/2))))
  (exp (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (expm1 (pow PI (- 1/2 (* k 1/2))))
  (log1p (pow PI (- 1/2 (* k 1/2))))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (pow PI 1/2)
  (pow PI (* k 1/2))
  (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow PI (sqrt (- 1/2 (* k 1/2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI (fma 1 1/2 (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (- (* k 1/2)))
  (pow PI 1/2)
  (pow PI (- (* k 1/2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))
  (pow (cbrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow 1 (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (log (pow PI (- 1/2 (* k 1/2))))
  (exp (pow PI (- 1/2 (* k 1/2))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (cbrt (pow PI (- 1/2 (* k 1/2))))
  (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow PI (- 1/2 (* k 1/2))))
  (expm1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (log1p (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (log (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (exp (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (* 2 n) 1/2) (pow PI (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (* k 1/2)) (sqrt k))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) 1)
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (real->posit16 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (expm1 (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (log1p (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))
  (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (exp (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (- (pow PI (- 1/2 (* k 1/2))))
  (- (sqrt k))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1)
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1)
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1)
  (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k))
  (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt 1))
  (/ (pow PI (- (* k 1/2))) (sqrt k))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) 1)
  (/ (pow PI (- (* k 1/2))) (sqrt k))
  (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt 1))
  (/ (pow PI (- (* k 1/2))) (sqrt k))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) 1)
  (/ (pow PI (- (* k 1/2))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1))
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1)
  (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1)
  (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow 1 (- 1/2 (* k 1/2))) 1)
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1))
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1)
  (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1)
  (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1)
  (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow PI (- 1/2 (* k 1/2))))
  (/ (pow PI (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt 1))
  (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* k 1/2))) 1)
  (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k))))
  (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k))))
  (/ (sqrt k) (pow PI (fma (- 1/2) k (* 1/2 k))))
  (/ (sqrt k) (pow PI (- (* k 1/2))))
  (/ (sqrt k) (pow PI (- (* k 1/2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* k 1/2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* k 1/2))))
  (/ (sqrt k) (pow PI (- 1/2 (* k 1/2))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (* k 1/2)))))
  (/ (sqrt k) (pow PI (- 1/2 (* k 1/2))))
  (/ (sqrt k) (pow PI (/ (- 1/2 (* k 1/2)) 2)))
  (* (sqrt k) (pow PI (* k 1/2)))
  (real->posit16 (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
12.823 * * [simplify]: iteration 0: 492 enodes
13.053 * * [simplify]: iteration 1: 1412 enodes
13.844 * * [simplify]: iteration complete: 5000 enodes
13.844 * * [simplify]: Extracting #0: cost 199 inf + 0
13.849 * * [simplify]: Extracting #1: cost 918 inf + 2
13.856 * * [simplify]: Extracting #2: cost 1334 inf + 1547
13.872 * * [simplify]: Extracting #3: cost 1555 inf + 30372
13.930 * * [simplify]: Extracting #4: cost 1055 inf + 249649
14.001 * * [simplify]: Extracting #5: cost 365 inf + 634844
14.177 * * [simplify]: Extracting #6: cost 154 inf + 789784
14.331 * * [simplify]: Extracting #7: cost 111 inf + 839446
14.469 * * [simplify]: Extracting #8: cost 112 inf + 867860
14.643 * * [simplify]: Extracting #9: cost 104 inf + 888566
14.816 * * [simplify]: Extracting #10: cost 34 inf + 942918
15.011 * * [simplify]: Extracting #11: cost 8 inf + 988636
15.284 * * [simplify]: Extracting #12: cost 0 inf + 1009869
15.559 * * [simplify]: Extracting #13: cost 0 inf + 1009844
15.858 * [simplify]: Simplified to:
  (expm1 (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (log1p (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (log (* 2 n)) (- 1/2 (* 1/2 k)))
  (* (log (* 2 n)) (- 1/2 (* 1/2 k)))
  (* (log (* 2 n)) (- 1/2 (* 1/2 k)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* 2 n))
  (pow (* 2 n) (* 1/2 k))
  (pow (* 2 n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* 2 n) (sqrt (- 1/2 (* 1/2 k))))
  (* 2 n)
  (sqrt (* 2 n))
  (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (sqrt (* 2 n))
  (pow (* 2 n) (* k -1/2))
  (sqrt (* 2 n))
  (pow (* 2 n) (* k -1/2))
  (pow 2 (- 1/2 (* 1/2 k)))
  (pow n (- 1/2 (* 1/2 k)))
  (* (log (* 2 n)) (- 1/2 (* 1/2 k)))
  (exp (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (cbrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* 2 n) (- 1/2 (* 1/2 k)))))
  (cbrt (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (pow (pow (* 2 n) (- 1/2 (* 1/2 k))) 3)
  (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2))
  (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (expm1 (pow PI (- 1/2 (* 1/2 k))))
  (log1p (pow PI (- 1/2 (* 1/2 k))))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (- 1/2 (* 1/2 k))
  (sqrt PI)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  PI
  (sqrt PI)
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))
  (pow PI (* k (+ -1/2 1/2)))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (* k (+ -1/2 1/2)))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (* k (+ -1/2 1/2)))
  (sqrt PI)
  (pow PI (* k -1/2))
  (sqrt PI)
  (pow PI (* k -1/2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  1
  (pow PI (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (pow PI (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (expm1 (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (log1p (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (exp (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) k))))
  (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k))) (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (pow PI (- 1/2 (* 1/2 k))) (sqrt (* 2 n)))
  (* (sqrt k) (pow (* 2 n) (* 1/2 k)))
  (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (/ (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (* (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (cbrt (sqrt k))))
  (* (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (sqrt (sqrt k)) (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (sqrt PI) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (sqrt PI) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (sqrt PI) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (sqrt PI) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))))
  (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (fabs (cbrt k)) (pow (sqrt PI) (- 1/2 (* 1/2 k)))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (sqrt (sqrt k)))
  (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (sqrt (sqrt k)))
  (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (* (/ (pow (* 2 n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k))))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow (* 2 n) (- 1/2 (* 1/2 k))))
  (pow (* 2 n) (- 1/2 (* 1/2 k)))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow (* 2 n) (* k (+ -1/2 1/2))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow (* 2 n) (* k (+ -1/2 1/2))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow (* 2 n) (* k (+ -1/2 1/2))))
  (* (pow (* 2 n) (* k -1/2)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (pow (* 2 n) (* k -1/2)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (pow n (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (* 1/2 k)))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
  (/ (* (pow PI (- 1/2 (* 1/2 k))) (sqrt (* 2 n))) (sqrt k))
  (real->posit16 (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (expm1 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (log1p (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (exp (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) k)
  (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (pow PI (- 1/2 (* 1/2 k))))
  (- (sqrt k))
  (/ (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (cbrt (sqrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (fabs (cbrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (cbrt k)))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* k -1/2)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (* k (+ -1/2 1/2))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (* k (+ -1/2 1/2))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (* k (+ -1/2 1/2))) (sqrt k))
  (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* k -1/2)) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* k -1/2)) (sqrt k))
  (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* k -1/2)) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* k -1/2)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* k -1/2)) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (fabs (cbrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (sqrt k) (pow PI (* k (+ -1/2 1/2))))
  (/ (sqrt k) (pow PI (* k (+ -1/2 1/2))))
  (/ (sqrt k) (pow PI (* k (+ -1/2 1/2))))
  (/ (sqrt k) (pow PI (* k -1/2)))
  (/ (sqrt k) (pow PI (* k -1/2)))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (* (pow PI (* 1/2 k)) (sqrt k))
  (real->posit16 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (+ (exp (* (log (* 2 n)) 1/2)) (- (fma (* 1/8 (* (log 2) (log 2))) (* (exp (* (log (* 2 n)) 1/2)) (* k k)) (fma 1/8 (* (* (exp (* (log (* 2 n)) 1/2)) (* k k)) (* (log n) (log n))) (* (* 1/4 (log 2)) (* (* (exp (* (log (* 2 n)) 1/2)) (* k k)) (log n))))) (* 1/2 (* k (+ (* (exp (* (log (* 2 n)) 1/2)) (log n)) (* (log 2) (exp (* (log (* 2 n)) 1/2))))))))
  (exp (* (log (* 2 n)) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (+ (sqrt PI) (* (sqrt PI) (- (* (* 1/8 (* k k)) (* (log PI) (log PI))) (* 1/2 (* (log PI) k)))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (- (* (exp (* (log (* 2 n)) 1/2)) (* (* (* (log n) (log n)) (* (sqrt PI) (* k k))) +nan.0)) (* (* +nan.0 (sqrt PI)) (exp (* (log (* 2 n)) 1/2)))) (fma +nan.0 (* (* (log 2) (log 2)) (* (* (sqrt PI) (* k k)) (exp (* (log (* 2 n)) 1/2)))) (- (+ (- (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* k (sqrt PI))) (* (* +nan.0 (log 2)) (* (* (* (log PI) (* k k)) (sqrt PI)) (exp (* (log (* 2 n)) 1/2))))) (+ (- (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* (log PI) (* k (sqrt PI)))) (* +nan.0 (* (* (* (log PI) (* k k)) (sqrt PI)) (exp (* (log (* 2 n)) 1/2))))) (+ (- (* (* +nan.0 (sqrt PI)) (* (log 2) (* (exp (* (log (* 2 n)) 1/2)) (* k k)))) (* (* k (* (exp (* (log (* 2 n)) 1/2)) (log 2))) (* (sqrt PI) +nan.0))) (+ (- (* (* (* +nan.0 (* (exp (* (log (* 2 n)) 1/2)) (log PI))) (* (log n) (* k k))) (sqrt PI)) (* (* (* (sqrt PI) (* k k)) (exp (* (log (* 2 n)) 1/2))) +nan.0)) (+ (- (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* (* (log PI) (log PI)) (* (sqrt PI) (* k k)))) (* (* +nan.0 (sqrt PI)) (* (* (exp (* (log (* 2 n)) 1/2)) (* k k)) (log n)))) (- (* (* +nan.0 (sqrt PI)) (* (log 2) (* (* (exp (* (log (* 2 n)) 1/2)) (* k k)) (log n)))) (* (* +nan.0 (sqrt PI)) (* (* (log n) k) (exp (* (log (* 2 n)) 1/2))))))))))))))
  (- (- (/ (* +nan.0 (exp (* (log (* 2 n)) (- 1/2 (* 1/2 k))))) (/ (* k k) (pow PI (- 1/2 (* 1/2 k))))) (* +nan.0 (- (* (/ (exp (* (log (* 2 n)) (- 1/2 (* 1/2 k)))) k) (pow PI (- 1/2 (* 1/2 k)))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (* (* k k) k)) (exp (* (log (* 2 n)) (- 1/2 (* 1/2 k)))))))))
  (- (+ (- (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) +nan.0)) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) +nan.0)) k)) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (/ (* k k) +nan.0))))
  (+ (* (* +nan.0 (* (log PI) k)) (- (sqrt PI))) (fma (* +nan.0 (sqrt PI)) k (+ (* (* +nan.0 (sqrt PI)) (- (* k k))) (+ (- (* (* +nan.0 (sqrt PI)) (* (log PI) (* k k))) (* +nan.0 (sqrt PI))) (* (* +nan.0 (sqrt PI)) (* (log PI) (* (log PI) (* k k))))))))
  (+ (* (- +nan.0) (/ (pow PI (- 1/2 (* 1/2 k))) k)) (* +nan.0 (- (/ (pow PI (- 1/2 (* 1/2 k))) (* (* k k) k)) (/ (pow PI (- 1/2 (* 1/2 k))) (* k k)))))
  (+ (* (- +nan.0) (/ (pow PI (- 1/2 (* 1/2 k))) k)) (* +nan.0 (- (/ (pow PI (- 1/2 (* 1/2 k))) (* k k)) (pow PI (- 1/2 (* 1/2 k))))))
15.900 * * * [progress]: adding candidates to table
17.538 * * [progress]: iteration 3 / 4
17.538 * * * [progress]: picking best candidate
17.567 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
17.567 * * * [progress]: localizing error
17.622 * * * [progress]: generating rewritten candidates
17.622 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
17.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
17.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
17.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
17.798 * * * [progress]: generating series expansions
17.798 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
17.798 * [backup-simplify]: Simplify (pow (* 2 n) (- 1/2 (* k 1/2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
17.798 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
17.798 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
17.798 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
17.798 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
17.798 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.798 * [taylor]: Taking taylor expansion of 1/2 in k
17.798 * [backup-simplify]: Simplify 1/2 into 1/2
17.798 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.798 * [taylor]: Taking taylor expansion of 1/2 in k
17.798 * [backup-simplify]: Simplify 1/2 into 1/2
17.798 * [taylor]: Taking taylor expansion of k in k
17.798 * [backup-simplify]: Simplify 0 into 0
17.798 * [backup-simplify]: Simplify 1 into 1
17.798 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
17.798 * [taylor]: Taking taylor expansion of (* 2 n) in k
17.798 * [taylor]: Taking taylor expansion of 2 in k
17.798 * [backup-simplify]: Simplify 2 into 2
17.798 * [taylor]: Taking taylor expansion of n in k
17.798 * [backup-simplify]: Simplify n into n
17.798 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
17.799 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
17.799 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.799 * [backup-simplify]: Simplify (- 0) into 0
17.800 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.800 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
17.800 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
17.800 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
17.800 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
17.800 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
17.800 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.800 * [taylor]: Taking taylor expansion of 1/2 in n
17.800 * [backup-simplify]: Simplify 1/2 into 1/2
17.800 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.800 * [taylor]: Taking taylor expansion of 1/2 in n
17.800 * [backup-simplify]: Simplify 1/2 into 1/2
17.800 * [taylor]: Taking taylor expansion of k in n
17.800 * [backup-simplify]: Simplify k into k
17.800 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
17.800 * [taylor]: Taking taylor expansion of (* 2 n) in n
17.800 * [taylor]: Taking taylor expansion of 2 in n
17.800 * [backup-simplify]: Simplify 2 into 2
17.800 * [taylor]: Taking taylor expansion of n in n
17.800 * [backup-simplify]: Simplify 0 into 0
17.800 * [backup-simplify]: Simplify 1 into 1
17.800 * [backup-simplify]: Simplify (* 2 0) into 0
17.801 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
17.801 * [backup-simplify]: Simplify (log 2) into (log 2)
17.801 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.801 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.801 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.802 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
17.803 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
17.803 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
17.803 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
17.803 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
17.803 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.803 * [taylor]: Taking taylor expansion of 1/2 in n
17.803 * [backup-simplify]: Simplify 1/2 into 1/2
17.803 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.803 * [taylor]: Taking taylor expansion of 1/2 in n
17.803 * [backup-simplify]: Simplify 1/2 into 1/2
17.803 * [taylor]: Taking taylor expansion of k in n
17.803 * [backup-simplify]: Simplify k into k
17.803 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
17.803 * [taylor]: Taking taylor expansion of (* 2 n) in n
17.803 * [taylor]: Taking taylor expansion of 2 in n
17.803 * [backup-simplify]: Simplify 2 into 2
17.803 * [taylor]: Taking taylor expansion of n in n
17.803 * [backup-simplify]: Simplify 0 into 0
17.803 * [backup-simplify]: Simplify 1 into 1
17.803 * [backup-simplify]: Simplify (* 2 0) into 0
17.804 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
17.804 * [backup-simplify]: Simplify (log 2) into (log 2)
17.804 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.804 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.804 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.805 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
17.805 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
17.805 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
17.805 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
17.805 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
17.805 * [taylor]: Taking taylor expansion of (log 2) in k
17.805 * [taylor]: Taking taylor expansion of 2 in k
17.805 * [backup-simplify]: Simplify 2 into 2
17.806 * [backup-simplify]: Simplify (log 2) into (log 2)
17.806 * [taylor]: Taking taylor expansion of (log n) in k
17.806 * [taylor]: Taking taylor expansion of n in k
17.806 * [backup-simplify]: Simplify n into n
17.806 * [backup-simplify]: Simplify (log n) into (log n)
17.806 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.806 * [taylor]: Taking taylor expansion of 1/2 in k
17.806 * [backup-simplify]: Simplify 1/2 into 1/2
17.806 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.806 * [taylor]: Taking taylor expansion of 1/2 in k
17.806 * [backup-simplify]: Simplify 1/2 into 1/2
17.806 * [taylor]: Taking taylor expansion of k in k
17.806 * [backup-simplify]: Simplify 0 into 0
17.806 * [backup-simplify]: Simplify 1 into 1
17.806 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
17.807 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.808 * [backup-simplify]: Simplify (- 0) into 0
17.808 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.809 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
17.809 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
17.810 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
17.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
17.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
17.814 * [backup-simplify]: Simplify (- 0) into 0
17.815 * [backup-simplify]: Simplify (+ 0 0) into 0
17.816 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.816 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
17.818 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.818 * [taylor]: Taking taylor expansion of 0 in k
17.818 * [backup-simplify]: Simplify 0 into 0
17.818 * [backup-simplify]: Simplify 0 into 0
17.819 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.819 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.820 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.822 * [backup-simplify]: Simplify (+ 0 0) into 0
17.823 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
17.825 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
17.827 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
17.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
17.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
17.832 * [backup-simplify]: Simplify (- 0) into 0
17.833 * [backup-simplify]: Simplify (+ 0 0) into 0
17.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.834 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
17.835 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.835 * [taylor]: Taking taylor expansion of 0 in k
17.835 * [backup-simplify]: Simplify 0 into 0
17.835 * [backup-simplify]: Simplify 0 into 0
17.836 * [backup-simplify]: Simplify 0 into 0
17.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.836 * [backup-simplify]: Simplify (- 0) into 0
17.837 * [backup-simplify]: Simplify (+ 0 0) into 0
17.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
17.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.840 * [backup-simplify]: Simplify (+ 0 0) into 0
17.840 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
17.842 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
17.843 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
17.846 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
17.847 * [backup-simplify]: Simplify (pow (* 2 (/ 1 n)) (- 1/2 (* (/ 1 k) 1/2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
17.847 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
17.847 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
17.847 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
17.847 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
17.847 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.847 * [taylor]: Taking taylor expansion of 1/2 in k
17.847 * [backup-simplify]: Simplify 1/2 into 1/2
17.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.847 * [taylor]: Taking taylor expansion of 1/2 in k
17.847 * [backup-simplify]: Simplify 1/2 into 1/2
17.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.847 * [taylor]: Taking taylor expansion of k in k
17.847 * [backup-simplify]: Simplify 0 into 0
17.847 * [backup-simplify]: Simplify 1 into 1
17.852 * [backup-simplify]: Simplify (/ 1 1) into 1
17.852 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
17.852 * [taylor]: Taking taylor expansion of (/ 2 n) in k
17.852 * [taylor]: Taking taylor expansion of 2 in k
17.852 * [backup-simplify]: Simplify 2 into 2
17.852 * [taylor]: Taking taylor expansion of n in k
17.852 * [backup-simplify]: Simplify n into n
17.852 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
17.852 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
17.853 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.853 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.853 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.853 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
17.853 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
17.853 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.853 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
17.853 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
17.853 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.853 * [taylor]: Taking taylor expansion of 1/2 in n
17.853 * [backup-simplify]: Simplify 1/2 into 1/2
17.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.853 * [taylor]: Taking taylor expansion of 1/2 in n
17.853 * [backup-simplify]: Simplify 1/2 into 1/2
17.853 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.853 * [taylor]: Taking taylor expansion of k in n
17.853 * [backup-simplify]: Simplify k into k
17.853 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.854 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
17.854 * [taylor]: Taking taylor expansion of (/ 2 n) in n
17.854 * [taylor]: Taking taylor expansion of 2 in n
17.854 * [backup-simplify]: Simplify 2 into 2
17.854 * [taylor]: Taking taylor expansion of n in n
17.854 * [backup-simplify]: Simplify 0 into 0
17.854 * [backup-simplify]: Simplify 1 into 1
17.854 * [backup-simplify]: Simplify (/ 2 1) into 2
17.854 * [backup-simplify]: Simplify (log 2) into (log 2)
17.854 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.854 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.854 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.855 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
17.855 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.855 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.856 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
17.856 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
17.856 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.856 * [taylor]: Taking taylor expansion of 1/2 in n
17.856 * [backup-simplify]: Simplify 1/2 into 1/2
17.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.856 * [taylor]: Taking taylor expansion of 1/2 in n
17.856 * [backup-simplify]: Simplify 1/2 into 1/2
17.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.856 * [taylor]: Taking taylor expansion of k in n
17.856 * [backup-simplify]: Simplify k into k
17.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.856 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
17.856 * [taylor]: Taking taylor expansion of (/ 2 n) in n
17.856 * [taylor]: Taking taylor expansion of 2 in n
17.856 * [backup-simplify]: Simplify 2 into 2
17.856 * [taylor]: Taking taylor expansion of n in n
17.856 * [backup-simplify]: Simplify 0 into 0
17.856 * [backup-simplify]: Simplify 1 into 1
17.856 * [backup-simplify]: Simplify (/ 2 1) into 2
17.856 * [backup-simplify]: Simplify (log 2) into (log 2)
17.856 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.856 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.856 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.857 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.857 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
17.858 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.858 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
17.858 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
17.858 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.858 * [taylor]: Taking taylor expansion of 1/2 in k
17.858 * [backup-simplify]: Simplify 1/2 into 1/2
17.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.858 * [taylor]: Taking taylor expansion of 1/2 in k
17.858 * [backup-simplify]: Simplify 1/2 into 1/2
17.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.858 * [taylor]: Taking taylor expansion of k in k
17.858 * [backup-simplify]: Simplify 0 into 0
17.858 * [backup-simplify]: Simplify 1 into 1
17.858 * [backup-simplify]: Simplify (/ 1 1) into 1
17.858 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
17.858 * [taylor]: Taking taylor expansion of (log 2) in k
17.859 * [taylor]: Taking taylor expansion of 2 in k
17.859 * [backup-simplify]: Simplify 2 into 2
17.859 * [backup-simplify]: Simplify (log 2) into (log 2)
17.859 * [taylor]: Taking taylor expansion of (log n) in k
17.859 * [taylor]: Taking taylor expansion of n in k
17.859 * [backup-simplify]: Simplify n into n
17.859 * [backup-simplify]: Simplify (log n) into (log n)
17.860 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.860 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.861 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.861 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.861 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
17.862 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
17.862 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.863 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
17.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.866 * [backup-simplify]: Simplify (- 0) into 0
17.866 * [backup-simplify]: Simplify (+ 0 0) into 0
17.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.868 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
17.869 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.869 * [taylor]: Taking taylor expansion of 0 in k
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify 0 into 0
17.869 * [backup-simplify]: Simplify 0 into 0
17.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
17.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.875 * [backup-simplify]: Simplify (- 0) into 0
17.875 * [backup-simplify]: Simplify (+ 0 0) into 0
17.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.877 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
17.879 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.879 * [taylor]: Taking taylor expansion of 0 in k
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify 0 into 0
17.879 * [backup-simplify]: Simplify 0 into 0
17.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.884 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
17.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.885 * [backup-simplify]: Simplify (- 0) into 0
17.885 * [backup-simplify]: Simplify (+ 0 0) into 0
17.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.886 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
17.888 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.888 * [taylor]: Taking taylor expansion of 0 in k
17.888 * [backup-simplify]: Simplify 0 into 0
17.888 * [backup-simplify]: Simplify 0 into 0
17.888 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
17.888 * [backup-simplify]: Simplify (pow (* 2 (/ 1 (- n))) (- 1/2 (* (/ 1 (- k)) 1/2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
17.888 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
17.888 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.888 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
17.888 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
17.888 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.888 * [taylor]: Taking taylor expansion of 1/2 in k
17.888 * [backup-simplify]: Simplify 1/2 into 1/2
17.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.889 * [taylor]: Taking taylor expansion of k in k
17.889 * [backup-simplify]: Simplify 0 into 0
17.889 * [backup-simplify]: Simplify 1 into 1
17.889 * [backup-simplify]: Simplify (/ 1 1) into 1
17.889 * [taylor]: Taking taylor expansion of 1/2 in k
17.889 * [backup-simplify]: Simplify 1/2 into 1/2
17.889 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
17.889 * [taylor]: Taking taylor expansion of (/ -2 n) in k
17.889 * [taylor]: Taking taylor expansion of -2 in k
17.889 * [backup-simplify]: Simplify -2 into -2
17.889 * [taylor]: Taking taylor expansion of n in k
17.889 * [backup-simplify]: Simplify n into n
17.889 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
17.889 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
17.889 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.890 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.890 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
17.890 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
17.890 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.890 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
17.890 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
17.890 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.890 * [taylor]: Taking taylor expansion of 1/2 in n
17.890 * [backup-simplify]: Simplify 1/2 into 1/2
17.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.890 * [taylor]: Taking taylor expansion of k in n
17.890 * [backup-simplify]: Simplify k into k
17.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.890 * [taylor]: Taking taylor expansion of 1/2 in n
17.890 * [backup-simplify]: Simplify 1/2 into 1/2
17.890 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
17.890 * [taylor]: Taking taylor expansion of (/ -2 n) in n
17.890 * [taylor]: Taking taylor expansion of -2 in n
17.890 * [backup-simplify]: Simplify -2 into -2
17.890 * [taylor]: Taking taylor expansion of n in n
17.890 * [backup-simplify]: Simplify 0 into 0
17.890 * [backup-simplify]: Simplify 1 into 1
17.890 * [backup-simplify]: Simplify (/ -2 1) into -2
17.891 * [backup-simplify]: Simplify (log -2) into (log -2)
17.891 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.891 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.892 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
17.892 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.892 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.892 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
17.892 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
17.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.892 * [taylor]: Taking taylor expansion of 1/2 in n
17.892 * [backup-simplify]: Simplify 1/2 into 1/2
17.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.892 * [taylor]: Taking taylor expansion of k in n
17.892 * [backup-simplify]: Simplify k into k
17.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.892 * [taylor]: Taking taylor expansion of 1/2 in n
17.892 * [backup-simplify]: Simplify 1/2 into 1/2
17.892 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
17.892 * [taylor]: Taking taylor expansion of (/ -2 n) in n
17.892 * [taylor]: Taking taylor expansion of -2 in n
17.892 * [backup-simplify]: Simplify -2 into -2
17.892 * [taylor]: Taking taylor expansion of n in n
17.892 * [backup-simplify]: Simplify 0 into 0
17.892 * [backup-simplify]: Simplify 1 into 1
17.892 * [backup-simplify]: Simplify (/ -2 1) into -2
17.893 * [backup-simplify]: Simplify (log -2) into (log -2)
17.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.893 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.894 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
17.894 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.894 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
17.894 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
17.894 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.894 * [taylor]: Taking taylor expansion of 1/2 in k
17.894 * [backup-simplify]: Simplify 1/2 into 1/2
17.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.894 * [taylor]: Taking taylor expansion of k in k
17.894 * [backup-simplify]: Simplify 0 into 0
17.894 * [backup-simplify]: Simplify 1 into 1
17.895 * [backup-simplify]: Simplify (/ 1 1) into 1
17.895 * [taylor]: Taking taylor expansion of 1/2 in k
17.895 * [backup-simplify]: Simplify 1/2 into 1/2
17.895 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
17.895 * [taylor]: Taking taylor expansion of (log -2) in k
17.895 * [taylor]: Taking taylor expansion of -2 in k
17.895 * [backup-simplify]: Simplify -2 into -2
17.895 * [backup-simplify]: Simplify (log -2) into (log -2)
17.895 * [taylor]: Taking taylor expansion of (log n) in k
17.895 * [taylor]: Taking taylor expansion of n in k
17.895 * [backup-simplify]: Simplify n into n
17.895 * [backup-simplify]: Simplify (log n) into (log n)
17.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.895 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.896 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.896 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
17.896 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
17.896 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.897 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
17.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
17.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.899 * [backup-simplify]: Simplify (+ 0 0) into 0
17.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.900 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
17.900 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.900 * [taylor]: Taking taylor expansion of 0 in k
17.900 * [backup-simplify]: Simplify 0 into 0
17.900 * [backup-simplify]: Simplify 0 into 0
17.901 * [backup-simplify]: Simplify 0 into 0
17.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
17.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.904 * [backup-simplify]: Simplify (+ 0 0) into 0
17.904 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.905 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
17.906 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.906 * [taylor]: Taking taylor expansion of 0 in k
17.906 * [backup-simplify]: Simplify 0 into 0
17.906 * [backup-simplify]: Simplify 0 into 0
17.906 * [backup-simplify]: Simplify 0 into 0
17.906 * [backup-simplify]: Simplify 0 into 0
17.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.910 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
17.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.912 * [backup-simplify]: Simplify (+ 0 0) into 0
17.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.914 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
17.916 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.916 * [taylor]: Taking taylor expansion of 0 in k
17.916 * [backup-simplify]: Simplify 0 into 0
17.916 * [backup-simplify]: Simplify 0 into 0
17.917 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
17.917 * * * * [progress]: [ 2 / 4 ] generating series at (2)
17.918 * [backup-simplify]: Simplify (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
17.918 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
17.918 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
17.918 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
17.918 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
17.918 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
17.918 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
17.918 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.918 * [taylor]: Taking taylor expansion of 1/2 in k
17.918 * [backup-simplify]: Simplify 1/2 into 1/2
17.918 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.918 * [taylor]: Taking taylor expansion of 1/2 in k
17.918 * [backup-simplify]: Simplify 1/2 into 1/2
17.918 * [taylor]: Taking taylor expansion of k in k
17.918 * [backup-simplify]: Simplify 0 into 0
17.918 * [backup-simplify]: Simplify 1 into 1
17.918 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
17.919 * [taylor]: Taking taylor expansion of (* 2 n) in k
17.919 * [taylor]: Taking taylor expansion of 2 in k
17.919 * [backup-simplify]: Simplify 2 into 2
17.919 * [taylor]: Taking taylor expansion of n in k
17.919 * [backup-simplify]: Simplify n into n
17.919 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
17.919 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
17.919 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.920 * [backup-simplify]: Simplify (- 0) into 0
17.920 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.920 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
17.921 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
17.921 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
17.921 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
17.921 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
17.921 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.921 * [taylor]: Taking taylor expansion of 1/2 in k
17.921 * [backup-simplify]: Simplify 1/2 into 1/2
17.921 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.921 * [taylor]: Taking taylor expansion of 1/2 in k
17.921 * [backup-simplify]: Simplify 1/2 into 1/2
17.921 * [taylor]: Taking taylor expansion of k in k
17.921 * [backup-simplify]: Simplify 0 into 0
17.921 * [backup-simplify]: Simplify 1 into 1
17.921 * [taylor]: Taking taylor expansion of (log PI) in k
17.921 * [taylor]: Taking taylor expansion of PI in k
17.921 * [backup-simplify]: Simplify PI into PI
17.922 * [backup-simplify]: Simplify (log PI) into (log PI)
17.922 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.923 * [backup-simplify]: Simplify (- 0) into 0
17.923 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.924 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.927 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
17.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.927 * [taylor]: Taking taylor expansion of k in k
17.927 * [backup-simplify]: Simplify 0 into 0
17.927 * [backup-simplify]: Simplify 1 into 1
17.927 * [backup-simplify]: Simplify (/ 1 1) into 1
17.928 * [backup-simplify]: Simplify (sqrt 0) into 0
17.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.929 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
17.929 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
17.929 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
17.930 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
17.930 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
17.930 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.930 * [taylor]: Taking taylor expansion of 1/2 in n
17.930 * [backup-simplify]: Simplify 1/2 into 1/2
17.930 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.930 * [taylor]: Taking taylor expansion of 1/2 in n
17.930 * [backup-simplify]: Simplify 1/2 into 1/2
17.930 * [taylor]: Taking taylor expansion of k in n
17.930 * [backup-simplify]: Simplify k into k
17.930 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
17.930 * [taylor]: Taking taylor expansion of (* 2 n) in n
17.930 * [taylor]: Taking taylor expansion of 2 in n
17.930 * [backup-simplify]: Simplify 2 into 2
17.930 * [taylor]: Taking taylor expansion of n in n
17.930 * [backup-simplify]: Simplify 0 into 0
17.930 * [backup-simplify]: Simplify 1 into 1
17.930 * [backup-simplify]: Simplify (* 2 0) into 0
17.931 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
17.931 * [backup-simplify]: Simplify (log 2) into (log 2)
17.932 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.932 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.932 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.933 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
17.933 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
17.933 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
17.934 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
17.934 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
17.934 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.934 * [taylor]: Taking taylor expansion of 1/2 in n
17.934 * [backup-simplify]: Simplify 1/2 into 1/2
17.934 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.934 * [taylor]: Taking taylor expansion of 1/2 in n
17.934 * [backup-simplify]: Simplify 1/2 into 1/2
17.934 * [taylor]: Taking taylor expansion of k in n
17.934 * [backup-simplify]: Simplify k into k
17.934 * [taylor]: Taking taylor expansion of (log PI) in n
17.934 * [taylor]: Taking taylor expansion of PI in n
17.934 * [backup-simplify]: Simplify PI into PI
17.934 * [backup-simplify]: Simplify (log PI) into (log PI)
17.934 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.934 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.934 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.935 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
17.935 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
17.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
17.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.936 * [taylor]: Taking taylor expansion of k in n
17.936 * [backup-simplify]: Simplify k into k
17.936 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.936 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
17.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
17.936 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
17.936 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
17.936 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
17.936 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
17.936 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
17.936 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.936 * [taylor]: Taking taylor expansion of 1/2 in n
17.936 * [backup-simplify]: Simplify 1/2 into 1/2
17.936 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.936 * [taylor]: Taking taylor expansion of 1/2 in n
17.936 * [backup-simplify]: Simplify 1/2 into 1/2
17.936 * [taylor]: Taking taylor expansion of k in n
17.936 * [backup-simplify]: Simplify k into k
17.936 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
17.936 * [taylor]: Taking taylor expansion of (* 2 n) in n
17.936 * [taylor]: Taking taylor expansion of 2 in n
17.936 * [backup-simplify]: Simplify 2 into 2
17.936 * [taylor]: Taking taylor expansion of n in n
17.936 * [backup-simplify]: Simplify 0 into 0
17.936 * [backup-simplify]: Simplify 1 into 1
17.937 * [backup-simplify]: Simplify (* 2 0) into 0
17.938 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
17.938 * [backup-simplify]: Simplify (log 2) into (log 2)
17.938 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.938 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.938 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.940 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
17.940 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
17.940 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
17.940 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
17.940 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
17.940 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.940 * [taylor]: Taking taylor expansion of 1/2 in n
17.940 * [backup-simplify]: Simplify 1/2 into 1/2
17.940 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.940 * [taylor]: Taking taylor expansion of 1/2 in n
17.940 * [backup-simplify]: Simplify 1/2 into 1/2
17.940 * [taylor]: Taking taylor expansion of k in n
17.940 * [backup-simplify]: Simplify k into k
17.940 * [taylor]: Taking taylor expansion of (log PI) in n
17.940 * [taylor]: Taking taylor expansion of PI in n
17.940 * [backup-simplify]: Simplify PI into PI
17.941 * [backup-simplify]: Simplify (log PI) into (log PI)
17.941 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.941 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.941 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.941 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
17.942 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
17.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
17.942 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.942 * [taylor]: Taking taylor expansion of k in n
17.942 * [backup-simplify]: Simplify k into k
17.942 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.942 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
17.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
17.943 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
17.944 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
17.944 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
17.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.944 * [taylor]: Taking taylor expansion of k in k
17.944 * [backup-simplify]: Simplify 0 into 0
17.944 * [backup-simplify]: Simplify 1 into 1
17.944 * [backup-simplify]: Simplify (/ 1 1) into 1
17.945 * [backup-simplify]: Simplify (sqrt 0) into 0
17.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.946 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
17.946 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
17.946 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
17.946 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
17.946 * [taylor]: Taking taylor expansion of (log 2) in k
17.946 * [taylor]: Taking taylor expansion of 2 in k
17.946 * [backup-simplify]: Simplify 2 into 2
17.946 * [backup-simplify]: Simplify (log 2) into (log 2)
17.946 * [taylor]: Taking taylor expansion of (log n) in k
17.946 * [taylor]: Taking taylor expansion of n in k
17.946 * [backup-simplify]: Simplify n into n
17.946 * [backup-simplify]: Simplify (log n) into (log n)
17.946 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.946 * [taylor]: Taking taylor expansion of 1/2 in k
17.946 * [backup-simplify]: Simplify 1/2 into 1/2
17.946 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.946 * [taylor]: Taking taylor expansion of 1/2 in k
17.946 * [backup-simplify]: Simplify 1/2 into 1/2
17.946 * [taylor]: Taking taylor expansion of k in k
17.946 * [backup-simplify]: Simplify 0 into 0
17.946 * [backup-simplify]: Simplify 1 into 1
17.947 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
17.947 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.947 * [backup-simplify]: Simplify (- 0) into 0
17.948 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.948 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
17.948 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
17.948 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
17.948 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
17.948 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
17.948 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.948 * [taylor]: Taking taylor expansion of 1/2 in k
17.948 * [backup-simplify]: Simplify 1/2 into 1/2
17.948 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.948 * [taylor]: Taking taylor expansion of 1/2 in k
17.948 * [backup-simplify]: Simplify 1/2 into 1/2
17.948 * [taylor]: Taking taylor expansion of k in k
17.948 * [backup-simplify]: Simplify 0 into 0
17.948 * [backup-simplify]: Simplify 1 into 1
17.948 * [taylor]: Taking taylor expansion of (log PI) in k
17.948 * [taylor]: Taking taylor expansion of PI in k
17.948 * [backup-simplify]: Simplify PI into PI
17.949 * [backup-simplify]: Simplify (log PI) into (log PI)
17.949 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.949 * [backup-simplify]: Simplify (- 0) into 0
17.949 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.950 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.951 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
17.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
17.952 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
17.952 * [backup-simplify]: Simplify 0 into 0
17.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
17.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
17.954 * [backup-simplify]: Simplify (- 0) into 0
17.954 * [backup-simplify]: Simplify (+ 0 0) into 0
17.955 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
17.955 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
17.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
17.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
17.957 * [backup-simplify]: Simplify (- 0) into 0
17.958 * [backup-simplify]: Simplify (+ 0 0) into 0
17.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
17.958 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
17.959 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.960 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
17.960 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
17.960 * [taylor]: Taking taylor expansion of 0 in k
17.960 * [backup-simplify]: Simplify 0 into 0
17.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
17.961 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.962 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.962 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
17.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
17.976 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.976 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.976 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.978 * [backup-simplify]: Simplify (+ 0 0) into 0
17.979 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
17.980 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
17.983 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
17.988 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
17.989 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
17.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
17.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
17.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
17.994 * [backup-simplify]: Simplify (- 0) into 0
17.994 * [backup-simplify]: Simplify (+ 0 0) into 0
17.995 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
17.997 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
18.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
18.002 * [backup-simplify]: Simplify (- 0) into 0
18.002 * [backup-simplify]: Simplify (+ 0 0) into 0
18.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
18.004 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
18.005 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.006 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
18.007 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
18.007 * [taylor]: Taking taylor expansion of 0 in k
18.007 * [backup-simplify]: Simplify 0 into 0
18.007 * [backup-simplify]: Simplify 0 into 0
18.009 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.010 * [backup-simplify]: Simplify (- 0) into 0
18.010 * [backup-simplify]: Simplify (+ 0 0) into 0
18.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
18.017 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
18.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.018 * [backup-simplify]: Simplify (- 0) into 0
18.018 * [backup-simplify]: Simplify (+ 0 0) into 0
18.020 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
18.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
18.021 * [backup-simplify]: Simplify (+ 0 0) into 0
18.022 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
18.023 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
18.030 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
18.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.033 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.042 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
18.047 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
18.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
18.054 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
18.056 * [backup-simplify]: Simplify (- 0) into 0
18.056 * [backup-simplify]: Simplify (+ 0 0) into 0
18.057 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.060 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
18.066 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
18.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
18.068 * [backup-simplify]: Simplify (- 0) into 0
18.069 * [backup-simplify]: Simplify (+ 0 0) into 0
18.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
18.070 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
18.071 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.072 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
18.078 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
18.078 * [taylor]: Taking taylor expansion of 0 in k
18.078 * [backup-simplify]: Simplify 0 into 0
18.078 * [backup-simplify]: Simplify 0 into 0
18.078 * [backup-simplify]: Simplify 0 into 0
18.081 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.082 * [backup-simplify]: Simplify (- 0) into 0
18.083 * [backup-simplify]: Simplify (+ 0 0) into 0
18.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.093 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
18.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.094 * [backup-simplify]: Simplify (- 0) into 0
18.094 * [backup-simplify]: Simplify (+ 0 0) into 0
18.097 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
18.099 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
18.099 * [backup-simplify]: Simplify (+ 0 0) into 0
18.101 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
18.105 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
18.126 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
18.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.168 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
18.180 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
18.206 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
18.207 * [backup-simplify]: Simplify (* (pow (* 2 (/ 1 n)) (- 1/2 (* (/ 1 k) 1/2))) (/ (exp (* (log PI) (- 1/2 (* (/ 1 k) 1/2)))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
18.207 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
18.207 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
18.207 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
18.207 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
18.207 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
18.207 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.207 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.207 * [taylor]: Taking taylor expansion of 1/2 in k
18.207 * [backup-simplify]: Simplify 1/2 into 1/2
18.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.207 * [taylor]: Taking taylor expansion of 1/2 in k
18.207 * [backup-simplify]: Simplify 1/2 into 1/2
18.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.207 * [taylor]: Taking taylor expansion of k in k
18.207 * [backup-simplify]: Simplify 0 into 0
18.207 * [backup-simplify]: Simplify 1 into 1
18.207 * [backup-simplify]: Simplify (/ 1 1) into 1
18.207 * [taylor]: Taking taylor expansion of (log PI) in k
18.207 * [taylor]: Taking taylor expansion of PI in k
18.207 * [backup-simplify]: Simplify PI into PI
18.208 * [backup-simplify]: Simplify (log PI) into (log PI)
18.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.208 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.208 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.209 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.209 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.209 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
18.209 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
18.209 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
18.209 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.209 * [taylor]: Taking taylor expansion of 1/2 in k
18.209 * [backup-simplify]: Simplify 1/2 into 1/2
18.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.209 * [taylor]: Taking taylor expansion of 1/2 in k
18.209 * [backup-simplify]: Simplify 1/2 into 1/2
18.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.209 * [taylor]: Taking taylor expansion of k in k
18.209 * [backup-simplify]: Simplify 0 into 0
18.210 * [backup-simplify]: Simplify 1 into 1
18.210 * [backup-simplify]: Simplify (/ 1 1) into 1
18.210 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
18.210 * [taylor]: Taking taylor expansion of (/ 2 n) in k
18.210 * [taylor]: Taking taylor expansion of 2 in k
18.210 * [backup-simplify]: Simplify 2 into 2
18.210 * [taylor]: Taking taylor expansion of n in k
18.210 * [backup-simplify]: Simplify n into n
18.210 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
18.210 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
18.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.210 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.211 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.211 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
18.211 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
18.211 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.211 * [taylor]: Taking taylor expansion of k in k
18.211 * [backup-simplify]: Simplify 0 into 0
18.211 * [backup-simplify]: Simplify 1 into 1
18.211 * [backup-simplify]: Simplify (sqrt 0) into 0
18.212 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.212 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
18.212 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
18.212 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
18.212 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
18.212 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
18.212 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.212 * [taylor]: Taking taylor expansion of 1/2 in n
18.212 * [backup-simplify]: Simplify 1/2 into 1/2
18.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.212 * [taylor]: Taking taylor expansion of 1/2 in n
18.212 * [backup-simplify]: Simplify 1/2 into 1/2
18.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.212 * [taylor]: Taking taylor expansion of k in n
18.212 * [backup-simplify]: Simplify k into k
18.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.212 * [taylor]: Taking taylor expansion of (log PI) in n
18.212 * [taylor]: Taking taylor expansion of PI in n
18.212 * [backup-simplify]: Simplify PI into PI
18.213 * [backup-simplify]: Simplify (log PI) into (log PI)
18.213 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.213 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.213 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.213 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
18.214 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.214 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.214 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
18.214 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
18.214 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.214 * [taylor]: Taking taylor expansion of 1/2 in n
18.214 * [backup-simplify]: Simplify 1/2 into 1/2
18.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.214 * [taylor]: Taking taylor expansion of 1/2 in n
18.214 * [backup-simplify]: Simplify 1/2 into 1/2
18.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.214 * [taylor]: Taking taylor expansion of k in n
18.214 * [backup-simplify]: Simplify k into k
18.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.214 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
18.214 * [taylor]: Taking taylor expansion of (/ 2 n) in n
18.214 * [taylor]: Taking taylor expansion of 2 in n
18.214 * [backup-simplify]: Simplify 2 into 2
18.214 * [taylor]: Taking taylor expansion of n in n
18.214 * [backup-simplify]: Simplify 0 into 0
18.214 * [backup-simplify]: Simplify 1 into 1
18.214 * [backup-simplify]: Simplify (/ 2 1) into 2
18.214 * [backup-simplify]: Simplify (log 2) into (log 2)
18.214 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.215 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.215 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
18.215 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
18.216 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
18.216 * [taylor]: Taking taylor expansion of (sqrt k) in n
18.216 * [taylor]: Taking taylor expansion of k in n
18.216 * [backup-simplify]: Simplify k into k
18.216 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
18.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
18.216 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
18.216 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
18.216 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
18.216 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
18.216 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
18.216 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.216 * [taylor]: Taking taylor expansion of 1/2 in n
18.216 * [backup-simplify]: Simplify 1/2 into 1/2
18.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.216 * [taylor]: Taking taylor expansion of 1/2 in n
18.216 * [backup-simplify]: Simplify 1/2 into 1/2
18.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.216 * [taylor]: Taking taylor expansion of k in n
18.216 * [backup-simplify]: Simplify k into k
18.216 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.216 * [taylor]: Taking taylor expansion of (log PI) in n
18.216 * [taylor]: Taking taylor expansion of PI in n
18.216 * [backup-simplify]: Simplify PI into PI
18.216 * [backup-simplify]: Simplify (log PI) into (log PI)
18.217 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.217 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.217 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.217 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
18.217 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.217 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
18.217 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
18.217 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
18.217 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
18.217 * [taylor]: Taking taylor expansion of 1/2 in n
18.217 * [backup-simplify]: Simplify 1/2 into 1/2
18.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.217 * [taylor]: Taking taylor expansion of 1/2 in n
18.217 * [backup-simplify]: Simplify 1/2 into 1/2
18.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.217 * [taylor]: Taking taylor expansion of k in n
18.218 * [backup-simplify]: Simplify k into k
18.218 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.218 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
18.218 * [taylor]: Taking taylor expansion of (/ 2 n) in n
18.218 * [taylor]: Taking taylor expansion of 2 in n
18.218 * [backup-simplify]: Simplify 2 into 2
18.218 * [taylor]: Taking taylor expansion of n in n
18.218 * [backup-simplify]: Simplify 0 into 0
18.218 * [backup-simplify]: Simplify 1 into 1
18.218 * [backup-simplify]: Simplify (/ 2 1) into 2
18.218 * [backup-simplify]: Simplify (log 2) into (log 2)
18.218 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.218 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.218 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
18.219 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
18.220 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
18.220 * [taylor]: Taking taylor expansion of (sqrt k) in n
18.220 * [taylor]: Taking taylor expansion of k in n
18.220 * [backup-simplify]: Simplify k into k
18.220 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
18.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
18.220 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
18.221 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
18.221 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
18.221 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.221 * [taylor]: Taking taylor expansion of k in k
18.221 * [backup-simplify]: Simplify 0 into 0
18.221 * [backup-simplify]: Simplify 1 into 1
18.221 * [backup-simplify]: Simplify (sqrt 0) into 0
18.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.222 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
18.222 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
18.222 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
18.222 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.222 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.222 * [taylor]: Taking taylor expansion of 1/2 in k
18.222 * [backup-simplify]: Simplify 1/2 into 1/2
18.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.222 * [taylor]: Taking taylor expansion of 1/2 in k
18.222 * [backup-simplify]: Simplify 1/2 into 1/2
18.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.222 * [taylor]: Taking taylor expansion of k in k
18.222 * [backup-simplify]: Simplify 0 into 0
18.222 * [backup-simplify]: Simplify 1 into 1
18.222 * [backup-simplify]: Simplify (/ 1 1) into 1
18.222 * [taylor]: Taking taylor expansion of (log PI) in k
18.222 * [taylor]: Taking taylor expansion of PI in k
18.222 * [backup-simplify]: Simplify PI into PI
18.223 * [backup-simplify]: Simplify (log PI) into (log PI)
18.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.223 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.223 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.224 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.224 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.224 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
18.224 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
18.224 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.224 * [taylor]: Taking taylor expansion of 1/2 in k
18.224 * [backup-simplify]: Simplify 1/2 into 1/2
18.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.224 * [taylor]: Taking taylor expansion of 1/2 in k
18.224 * [backup-simplify]: Simplify 1/2 into 1/2
18.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.224 * [taylor]: Taking taylor expansion of k in k
18.225 * [backup-simplify]: Simplify 0 into 0
18.225 * [backup-simplify]: Simplify 1 into 1
18.225 * [backup-simplify]: Simplify (/ 1 1) into 1
18.225 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
18.225 * [taylor]: Taking taylor expansion of (log 2) in k
18.225 * [taylor]: Taking taylor expansion of 2 in k
18.225 * [backup-simplify]: Simplify 2 into 2
18.225 * [backup-simplify]: Simplify (log 2) into (log 2)
18.225 * [taylor]: Taking taylor expansion of (log n) in k
18.225 * [taylor]: Taking taylor expansion of n in k
18.225 * [backup-simplify]: Simplify n into n
18.225 * [backup-simplify]: Simplify (log n) into (log n)
18.225 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.226 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.226 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.226 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.227 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
18.227 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
18.228 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
18.228 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
18.229 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
18.229 * [backup-simplify]: Simplify 0 into 0
18.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
18.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
18.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.233 * [backup-simplify]: Simplify (- 0) into 0
18.233 * [backup-simplify]: Simplify (+ 0 0) into 0
18.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
18.235 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
18.236 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
18.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.239 * [backup-simplify]: Simplify (- 0) into 0
18.240 * [backup-simplify]: Simplify (+ 0 0) into 0
18.241 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
18.242 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
18.243 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
18.244 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
18.244 * [taylor]: Taking taylor expansion of 0 in k
18.244 * [backup-simplify]: Simplify 0 into 0
18.244 * [backup-simplify]: Simplify 0 into 0
18.245 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
18.246 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.247 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
18.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
18.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.253 * [backup-simplify]: Simplify (- 0) into 0
18.254 * [backup-simplify]: Simplify (+ 0 0) into 0
18.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
18.256 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
18.257 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.262 * [backup-simplify]: Simplify (- 0) into 0
18.263 * [backup-simplify]: Simplify (+ 0 0) into 0
18.263 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
18.264 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.265 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
18.266 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
18.266 * [taylor]: Taking taylor expansion of 0 in k
18.266 * [backup-simplify]: Simplify 0 into 0
18.266 * [backup-simplify]: Simplify 0 into 0
18.266 * [backup-simplify]: Simplify 0 into 0
18.266 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
18.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.270 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
18.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.274 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
18.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
18.275 * [backup-simplify]: Simplify (- 0) into 0
18.275 * [backup-simplify]: Simplify (+ 0 0) into 0
18.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
18.277 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
18.278 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.281 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
18.282 * [backup-simplify]: Simplify (- 0) into 0
18.282 * [backup-simplify]: Simplify (+ 0 0) into 0
18.283 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.284 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.285 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
18.286 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
18.286 * [taylor]: Taking taylor expansion of 0 in k
18.286 * [backup-simplify]: Simplify 0 into 0
18.286 * [backup-simplify]: Simplify 0 into 0
18.286 * [backup-simplify]: Simplify 0 into 0
18.286 * [backup-simplify]: Simplify 0 into 0
18.292 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
18.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.298 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
18.301 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
18.302 * [backup-simplify]: Simplify (* (pow (* 2 (/ 1 (- n))) (- 1/2 (* (/ 1 (- k)) 1/2))) (/ (exp (* (log PI) (- 1/2 (* (/ 1 (- k)) 1/2)))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
18.302 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
18.302 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
18.302 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
18.302 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.302 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
18.302 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
18.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.302 * [taylor]: Taking taylor expansion of 1/2 in k
18.302 * [backup-simplify]: Simplify 1/2 into 1/2
18.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.303 * [taylor]: Taking taylor expansion of k in k
18.303 * [backup-simplify]: Simplify 0 into 0
18.303 * [backup-simplify]: Simplify 1 into 1
18.304 * [backup-simplify]: Simplify (/ 1 1) into 1
18.304 * [taylor]: Taking taylor expansion of 1/2 in k
18.304 * [backup-simplify]: Simplify 1/2 into 1/2
18.304 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
18.304 * [taylor]: Taking taylor expansion of (/ -2 n) in k
18.304 * [taylor]: Taking taylor expansion of -2 in k
18.304 * [backup-simplify]: Simplify -2 into -2
18.304 * [taylor]: Taking taylor expansion of n in k
18.304 * [backup-simplify]: Simplify n into n
18.304 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
18.304 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
18.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.305 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.305 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
18.305 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
18.305 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.305 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
18.305 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.305 * [taylor]: Taking taylor expansion of 1/2 in k
18.306 * [backup-simplify]: Simplify 1/2 into 1/2
18.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.306 * [taylor]: Taking taylor expansion of k in k
18.306 * [backup-simplify]: Simplify 0 into 0
18.306 * [backup-simplify]: Simplify 1 into 1
18.306 * [backup-simplify]: Simplify (/ 1 1) into 1
18.306 * [taylor]: Taking taylor expansion of 1/2 in k
18.306 * [backup-simplify]: Simplify 1/2 into 1/2
18.306 * [taylor]: Taking taylor expansion of (log PI) in k
18.306 * [taylor]: Taking taylor expansion of PI in k
18.306 * [backup-simplify]: Simplify PI into PI
18.306 * [backup-simplify]: Simplify (log PI) into (log PI)
18.307 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.307 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.308 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.308 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.308 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.308 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.308 * [taylor]: Taking taylor expansion of -1 in k
18.308 * [backup-simplify]: Simplify -1 into -1
18.308 * [taylor]: Taking taylor expansion of k in k
18.308 * [backup-simplify]: Simplify 0 into 0
18.308 * [backup-simplify]: Simplify 1 into 1
18.308 * [backup-simplify]: Simplify (/ -1 1) into -1
18.309 * [backup-simplify]: Simplify (sqrt 0) into 0
18.310 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.310 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.310 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.310 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
18.310 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
18.310 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.310 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
18.310 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
18.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.310 * [taylor]: Taking taylor expansion of 1/2 in n
18.310 * [backup-simplify]: Simplify 1/2 into 1/2
18.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.310 * [taylor]: Taking taylor expansion of k in n
18.310 * [backup-simplify]: Simplify k into k
18.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.311 * [taylor]: Taking taylor expansion of 1/2 in n
18.311 * [backup-simplify]: Simplify 1/2 into 1/2
18.311 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
18.311 * [taylor]: Taking taylor expansion of (/ -2 n) in n
18.311 * [taylor]: Taking taylor expansion of -2 in n
18.311 * [backup-simplify]: Simplify -2 into -2
18.311 * [taylor]: Taking taylor expansion of n in n
18.311 * [backup-simplify]: Simplify 0 into 0
18.311 * [backup-simplify]: Simplify 1 into 1
18.311 * [backup-simplify]: Simplify (/ -2 1) into -2
18.311 * [backup-simplify]: Simplify (log -2) into (log -2)
18.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.311 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
18.313 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
18.313 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
18.313 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.313 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
18.313 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
18.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.313 * [taylor]: Taking taylor expansion of 1/2 in n
18.313 * [backup-simplify]: Simplify 1/2 into 1/2
18.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.313 * [taylor]: Taking taylor expansion of k in n
18.313 * [backup-simplify]: Simplify k into k
18.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.313 * [taylor]: Taking taylor expansion of 1/2 in n
18.313 * [backup-simplify]: Simplify 1/2 into 1/2
18.314 * [taylor]: Taking taylor expansion of (log PI) in n
18.314 * [taylor]: Taking taylor expansion of PI in n
18.314 * [backup-simplify]: Simplify PI into PI
18.314 * [backup-simplify]: Simplify (log PI) into (log PI)
18.314 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.314 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.314 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
18.315 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.315 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.315 * [taylor]: Taking taylor expansion of -1 in n
18.315 * [backup-simplify]: Simplify -1 into -1
18.315 * [taylor]: Taking taylor expansion of k in n
18.315 * [backup-simplify]: Simplify k into k
18.315 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.315 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.315 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.316 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.316 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
18.316 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
18.316 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
18.316 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.316 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
18.316 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
18.316 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.316 * [taylor]: Taking taylor expansion of 1/2 in n
18.317 * [backup-simplify]: Simplify 1/2 into 1/2
18.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.317 * [taylor]: Taking taylor expansion of k in n
18.317 * [backup-simplify]: Simplify k into k
18.317 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.317 * [taylor]: Taking taylor expansion of 1/2 in n
18.317 * [backup-simplify]: Simplify 1/2 into 1/2
18.317 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
18.317 * [taylor]: Taking taylor expansion of (/ -2 n) in n
18.317 * [taylor]: Taking taylor expansion of -2 in n
18.317 * [backup-simplify]: Simplify -2 into -2
18.317 * [taylor]: Taking taylor expansion of n in n
18.317 * [backup-simplify]: Simplify 0 into 0
18.317 * [backup-simplify]: Simplify 1 into 1
18.317 * [backup-simplify]: Simplify (/ -2 1) into -2
18.317 * [backup-simplify]: Simplify (log -2) into (log -2)
18.317 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.317 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
18.318 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
18.319 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
18.319 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.319 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
18.319 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
18.319 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.319 * [taylor]: Taking taylor expansion of 1/2 in n
18.319 * [backup-simplify]: Simplify 1/2 into 1/2
18.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.319 * [taylor]: Taking taylor expansion of k in n
18.319 * [backup-simplify]: Simplify k into k
18.319 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.319 * [taylor]: Taking taylor expansion of 1/2 in n
18.319 * [backup-simplify]: Simplify 1/2 into 1/2
18.319 * [taylor]: Taking taylor expansion of (log PI) in n
18.319 * [taylor]: Taking taylor expansion of PI in n
18.319 * [backup-simplify]: Simplify PI into PI
18.319 * [backup-simplify]: Simplify (log PI) into (log PI)
18.319 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.319 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.320 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
18.320 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.320 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.320 * [taylor]: Taking taylor expansion of -1 in n
18.320 * [backup-simplify]: Simplify -1 into -1
18.320 * [taylor]: Taking taylor expansion of k in n
18.320 * [backup-simplify]: Simplify k into k
18.320 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.320 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.320 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.321 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.321 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
18.321 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
18.321 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
18.321 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
18.321 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
18.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.322 * [taylor]: Taking taylor expansion of 1/2 in k
18.322 * [backup-simplify]: Simplify 1/2 into 1/2
18.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.322 * [taylor]: Taking taylor expansion of k in k
18.322 * [backup-simplify]: Simplify 0 into 0
18.322 * [backup-simplify]: Simplify 1 into 1
18.322 * [backup-simplify]: Simplify (/ 1 1) into 1
18.322 * [taylor]: Taking taylor expansion of 1/2 in k
18.322 * [backup-simplify]: Simplify 1/2 into 1/2
18.322 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
18.322 * [taylor]: Taking taylor expansion of (log -2) in k
18.322 * [taylor]: Taking taylor expansion of -2 in k
18.322 * [backup-simplify]: Simplify -2 into -2
18.322 * [backup-simplify]: Simplify (log -2) into (log -2)
18.322 * [taylor]: Taking taylor expansion of (log n) in k
18.322 * [taylor]: Taking taylor expansion of n in k
18.322 * [backup-simplify]: Simplify n into n
18.322 * [backup-simplify]: Simplify (log n) into (log n)
18.323 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.323 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.323 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
18.323 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
18.323 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
18.324 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
18.324 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.324 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
18.324 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.324 * [taylor]: Taking taylor expansion of 1/2 in k
18.324 * [backup-simplify]: Simplify 1/2 into 1/2
18.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.324 * [taylor]: Taking taylor expansion of k in k
18.324 * [backup-simplify]: Simplify 0 into 0
18.324 * [backup-simplify]: Simplify 1 into 1
18.324 * [backup-simplify]: Simplify (/ 1 1) into 1
18.324 * [taylor]: Taking taylor expansion of 1/2 in k
18.324 * [backup-simplify]: Simplify 1/2 into 1/2
18.324 * [taylor]: Taking taylor expansion of (log PI) in k
18.324 * [taylor]: Taking taylor expansion of PI in k
18.324 * [backup-simplify]: Simplify PI into PI
18.325 * [backup-simplify]: Simplify (log PI) into (log PI)
18.325 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.325 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.326 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.326 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.326 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.326 * [taylor]: Taking taylor expansion of -1 in k
18.326 * [backup-simplify]: Simplify -1 into -1
18.326 * [taylor]: Taking taylor expansion of k in k
18.326 * [backup-simplify]: Simplify 0 into 0
18.326 * [backup-simplify]: Simplify 1 into 1
18.326 * [backup-simplify]: Simplify (/ -1 1) into -1
18.327 * [backup-simplify]: Simplify (sqrt 0) into 0
18.327 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.328 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.328 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.329 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.330 * [backup-simplify]: Simplify (+ 0 0) into 0
18.331 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
18.332 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
18.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
18.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
18.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.334 * [backup-simplify]: Simplify (+ 0 0) into 0
18.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
18.335 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
18.336 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
18.337 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
18.338 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
18.338 * [taylor]: Taking taylor expansion of 0 in k
18.338 * [backup-simplify]: Simplify 0 into 0
18.338 * [backup-simplify]: Simplify 0 into 0
18.339 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
18.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.344 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
18.345 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
18.348 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.350 * [backup-simplify]: Simplify (+ 0 0) into 0
18.350 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
18.352 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
18.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
18.355 * [backup-simplify]: Simplify (+ 0 0) into 0
18.355 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
18.356 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
18.357 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.358 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
18.358 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
18.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
18.359 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
18.359 * [taylor]: Taking taylor expansion of 0 in k
18.359 * [backup-simplify]: Simplify 0 into 0
18.359 * [backup-simplify]: Simplify 0 into 0
18.359 * [backup-simplify]: Simplify 0 into 0
18.360 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
18.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.365 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
18.365 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
18.367 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
18.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
18.368 * [backup-simplify]: Simplify (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k))))
18.368 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in (k) around 0
18.368 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
18.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
18.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.368 * [taylor]: Taking taylor expansion of k in k
18.368 * [backup-simplify]: Simplify 0 into 0
18.368 * [backup-simplify]: Simplify 1 into 1
18.368 * [backup-simplify]: Simplify (/ 1 1) into 1
18.368 * [backup-simplify]: Simplify (sqrt 0) into 0
18.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.369 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
18.369 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
18.369 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
18.369 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.369 * [taylor]: Taking taylor expansion of 1/2 in k
18.369 * [backup-simplify]: Simplify 1/2 into 1/2
18.369 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.369 * [taylor]: Taking taylor expansion of 1/2 in k
18.369 * [backup-simplify]: Simplify 1/2 into 1/2
18.369 * [taylor]: Taking taylor expansion of k in k
18.369 * [backup-simplify]: Simplify 0 into 0
18.369 * [backup-simplify]: Simplify 1 into 1
18.369 * [taylor]: Taking taylor expansion of (log PI) in k
18.369 * [taylor]: Taking taylor expansion of PI in k
18.369 * [backup-simplify]: Simplify PI into PI
18.370 * [backup-simplify]: Simplify (log PI) into (log PI)
18.370 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.370 * [backup-simplify]: Simplify (- 0) into 0
18.370 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.371 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.372 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
18.372 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
18.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
18.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.372 * [taylor]: Taking taylor expansion of k in k
18.372 * [backup-simplify]: Simplify 0 into 0
18.372 * [backup-simplify]: Simplify 1 into 1
18.372 * [backup-simplify]: Simplify (/ 1 1) into 1
18.373 * [backup-simplify]: Simplify (sqrt 0) into 0
18.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.373 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
18.373 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
18.374 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
18.374 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.374 * [taylor]: Taking taylor expansion of 1/2 in k
18.374 * [backup-simplify]: Simplify 1/2 into 1/2
18.374 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.374 * [taylor]: Taking taylor expansion of 1/2 in k
18.374 * [backup-simplify]: Simplify 1/2 into 1/2
18.374 * [taylor]: Taking taylor expansion of k in k
18.374 * [backup-simplify]: Simplify 0 into 0
18.374 * [backup-simplify]: Simplify 1 into 1
18.374 * [taylor]: Taking taylor expansion of (log PI) in k
18.374 * [taylor]: Taking taylor expansion of PI in k
18.374 * [backup-simplify]: Simplify PI into PI
18.374 * [backup-simplify]: Simplify (log PI) into (log PI)
18.374 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.374 * [backup-simplify]: Simplify (- 0) into 0
18.375 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.375 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.376 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
18.377 * [backup-simplify]: Simplify (* 0 (pow PI 1/2)) into 0
18.377 * [backup-simplify]: Simplify 0 into 0
18.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.378 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
18.378 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.379 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
18.388 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
18.393 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))) into (- (* +nan.0 (sqrt PI)))
18.394 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI)))
18.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.406 * [backup-simplify]: Simplify (- 0) into 0
18.407 * [backup-simplify]: Simplify (+ 0 0) into 0
18.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
18.417 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
18.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.426 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
18.430 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
18.433 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.434 * [backup-simplify]: Simplify (- 0) into 0
18.434 * [backup-simplify]: Simplify (+ 0 0) into 0
18.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.448 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
18.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.473 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* +nan.0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
18.491 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
18.517 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) k) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
18.518 * [backup-simplify]: Simplify (/ (exp (* (log PI) (- 1/2 (* (/ 1 k) 1/2)))) (sqrt (/ 1 k))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
18.518 * [approximate]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k) around 0
18.518 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
18.518 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
18.518 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
18.518 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.518 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.518 * [taylor]: Taking taylor expansion of 1/2 in k
18.518 * [backup-simplify]: Simplify 1/2 into 1/2
18.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.518 * [taylor]: Taking taylor expansion of 1/2 in k
18.518 * [backup-simplify]: Simplify 1/2 into 1/2
18.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.518 * [taylor]: Taking taylor expansion of k in k
18.518 * [backup-simplify]: Simplify 0 into 0
18.518 * [backup-simplify]: Simplify 1 into 1
18.519 * [backup-simplify]: Simplify (/ 1 1) into 1
18.519 * [taylor]: Taking taylor expansion of (log PI) in k
18.519 * [taylor]: Taking taylor expansion of PI in k
18.519 * [backup-simplify]: Simplify PI into PI
18.519 * [backup-simplify]: Simplify (log PI) into (log PI)
18.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.520 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.520 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.521 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.522 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.522 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.522 * [taylor]: Taking taylor expansion of k in k
18.522 * [backup-simplify]: Simplify 0 into 0
18.522 * [backup-simplify]: Simplify 1 into 1
18.522 * [backup-simplify]: Simplify (sqrt 0) into 0
18.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.524 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
18.524 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
18.524 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
18.524 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.524 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.524 * [taylor]: Taking taylor expansion of 1/2 in k
18.524 * [backup-simplify]: Simplify 1/2 into 1/2
18.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.524 * [taylor]: Taking taylor expansion of 1/2 in k
18.524 * [backup-simplify]: Simplify 1/2 into 1/2
18.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.524 * [taylor]: Taking taylor expansion of k in k
18.524 * [backup-simplify]: Simplify 0 into 0
18.524 * [backup-simplify]: Simplify 1 into 1
18.524 * [backup-simplify]: Simplify (/ 1 1) into 1
18.524 * [taylor]: Taking taylor expansion of (log PI) in k
18.524 * [taylor]: Taking taylor expansion of PI in k
18.524 * [backup-simplify]: Simplify PI into PI
18.525 * [backup-simplify]: Simplify (log PI) into (log PI)
18.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.525 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.526 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.527 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.527 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
18.527 * [taylor]: Taking taylor expansion of (sqrt k) in k
18.528 * [taylor]: Taking taylor expansion of k in k
18.528 * [backup-simplify]: Simplify 0 into 0
18.528 * [backup-simplify]: Simplify 1 into 1
18.528 * [backup-simplify]: Simplify (sqrt 0) into 0
18.529 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.530 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
18.530 * [backup-simplify]: Simplify 0 into 0
18.530 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.530 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.542 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.543 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.543 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.547 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.547 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
18.548 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
18.548 * [backup-simplify]: Simplify (/ (exp (* (log PI) (- 1/2 (* (/ 1 (- k)) 1/2)))) (sqrt (/ 1 (- k)))) into (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
18.548 * [approximate]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k) around 0
18.548 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
18.548 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.548 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
18.548 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.549 * [taylor]: Taking taylor expansion of 1/2 in k
18.549 * [backup-simplify]: Simplify 1/2 into 1/2
18.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.549 * [taylor]: Taking taylor expansion of k in k
18.549 * [backup-simplify]: Simplify 0 into 0
18.549 * [backup-simplify]: Simplify 1 into 1
18.549 * [backup-simplify]: Simplify (/ 1 1) into 1
18.549 * [taylor]: Taking taylor expansion of 1/2 in k
18.549 * [backup-simplify]: Simplify 1/2 into 1/2
18.549 * [taylor]: Taking taylor expansion of (log PI) in k
18.549 * [taylor]: Taking taylor expansion of PI in k
18.549 * [backup-simplify]: Simplify PI into PI
18.549 * [backup-simplify]: Simplify (log PI) into (log PI)
18.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.550 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.550 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.551 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.551 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.551 * [taylor]: Taking taylor expansion of -1 in k
18.551 * [backup-simplify]: Simplify -1 into -1
18.551 * [taylor]: Taking taylor expansion of k in k
18.551 * [backup-simplify]: Simplify 0 into 0
18.551 * [backup-simplify]: Simplify 1 into 1
18.551 * [backup-simplify]: Simplify (/ -1 1) into -1
18.551 * [backup-simplify]: Simplify (sqrt 0) into 0
18.552 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.552 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.552 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
18.552 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.552 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
18.552 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.552 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.552 * [taylor]: Taking taylor expansion of 1/2 in k
18.552 * [backup-simplify]: Simplify 1/2 into 1/2
18.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.552 * [taylor]: Taking taylor expansion of k in k
18.552 * [backup-simplify]: Simplify 0 into 0
18.553 * [backup-simplify]: Simplify 1 into 1
18.553 * [backup-simplify]: Simplify (/ 1 1) into 1
18.553 * [taylor]: Taking taylor expansion of 1/2 in k
18.553 * [backup-simplify]: Simplify 1/2 into 1/2
18.553 * [taylor]: Taking taylor expansion of (log PI) in k
18.553 * [taylor]: Taking taylor expansion of PI in k
18.553 * [backup-simplify]: Simplify PI into PI
18.553 * [backup-simplify]: Simplify (log PI) into (log PI)
18.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.554 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.554 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.555 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
18.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.555 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.555 * [taylor]: Taking taylor expansion of -1 in k
18.555 * [backup-simplify]: Simplify -1 into -1
18.555 * [taylor]: Taking taylor expansion of k in k
18.555 * [backup-simplify]: Simplify 0 into 0
18.555 * [backup-simplify]: Simplify 1 into 1
18.555 * [backup-simplify]: Simplify (/ -1 1) into -1
18.555 * [backup-simplify]: Simplify (sqrt 0) into 0
18.556 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.556 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.556 * [backup-simplify]: Simplify (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
18.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.559 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.560 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.563 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.564 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
18.564 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (/ 1 (- k))) (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
18.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
18.565 * [backup-simplify]: Simplify (* (log PI) (- 1/2 (* k 1/2))) into (* (- 1/2 (* 1/2 k)) (log PI))
18.565 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0
18.565 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
18.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.565 * [taylor]: Taking taylor expansion of 1/2 in k
18.565 * [backup-simplify]: Simplify 1/2 into 1/2
18.565 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.565 * [taylor]: Taking taylor expansion of 1/2 in k
18.565 * [backup-simplify]: Simplify 1/2 into 1/2
18.565 * [taylor]: Taking taylor expansion of k in k
18.565 * [backup-simplify]: Simplify 0 into 0
18.565 * [backup-simplify]: Simplify 1 into 1
18.565 * [taylor]: Taking taylor expansion of (log PI) in k
18.565 * [taylor]: Taking taylor expansion of PI in k
18.565 * [backup-simplify]: Simplify PI into PI
18.565 * [backup-simplify]: Simplify (log PI) into (log PI)
18.565 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
18.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
18.565 * [taylor]: Taking taylor expansion of 1/2 in k
18.565 * [backup-simplify]: Simplify 1/2 into 1/2
18.565 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
18.565 * [taylor]: Taking taylor expansion of 1/2 in k
18.565 * [backup-simplify]: Simplify 1/2 into 1/2
18.565 * [taylor]: Taking taylor expansion of k in k
18.565 * [backup-simplify]: Simplify 0 into 0
18.565 * [backup-simplify]: Simplify 1 into 1
18.566 * [taylor]: Taking taylor expansion of (log PI) in k
18.566 * [taylor]: Taking taylor expansion of PI in k
18.566 * [backup-simplify]: Simplify PI into PI
18.566 * [backup-simplify]: Simplify (log PI) into (log PI)
18.566 * [backup-simplify]: Simplify (* 1/2 0) into 0
18.566 * [backup-simplify]: Simplify (- 0) into 0
18.567 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.567 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.568 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
18.569 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.570 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
18.574 * [backup-simplify]: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI)))
18.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
18.579 * [backup-simplify]: Simplify (- 0) into 0
18.579 * [backup-simplify]: Simplify (+ 0 0) into 0
18.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
18.581 * [backup-simplify]: Simplify 0 into 0
18.586 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
18.588 * [backup-simplify]: Simplify (- 0) into 0
18.588 * [backup-simplify]: Simplify (+ 0 0) into 0
18.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.590 * [backup-simplify]: Simplify 0 into 0
18.601 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
18.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
18.603 * [backup-simplify]: Simplify (- 0) into 0
18.603 * [backup-simplify]: Simplify (+ 0 0) into 0
18.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0
18.605 * [backup-simplify]: Simplify 0 into 0
18.623 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
18.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
18.625 * [backup-simplify]: Simplify (- 0) into 0
18.626 * [backup-simplify]: Simplify (+ 0 0) into 0
18.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0
18.628 * [backup-simplify]: Simplify 0 into 0
18.652 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
18.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
18.654 * [backup-simplify]: Simplify (- 0) into 0
18.654 * [backup-simplify]: Simplify (+ 0 0) into 0
18.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0
18.655 * [backup-simplify]: Simplify 0 into 0
18.695 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0
18.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
18.697 * [backup-simplify]: Simplify (- 0) into 0
18.697 * [backup-simplify]: Simplify (+ 0 0) into 0
18.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0
18.699 * [backup-simplify]: Simplify 0 into 0
18.701 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
18.701 * [backup-simplify]: Simplify (* (log PI) (- 1/2 (* (/ 1 k) 1/2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
18.701 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0
18.701 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.701 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.701 * [taylor]: Taking taylor expansion of 1/2 in k
18.701 * [backup-simplify]: Simplify 1/2 into 1/2
18.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.701 * [taylor]: Taking taylor expansion of 1/2 in k
18.701 * [backup-simplify]: Simplify 1/2 into 1/2
18.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.701 * [taylor]: Taking taylor expansion of k in k
18.701 * [backup-simplify]: Simplify 0 into 0
18.701 * [backup-simplify]: Simplify 1 into 1
18.701 * [backup-simplify]: Simplify (/ 1 1) into 1
18.701 * [taylor]: Taking taylor expansion of (log PI) in k
18.701 * [taylor]: Taking taylor expansion of PI in k
18.701 * [backup-simplify]: Simplify PI into PI
18.702 * [backup-simplify]: Simplify (log PI) into (log PI)
18.702 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
18.702 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
18.702 * [taylor]: Taking taylor expansion of 1/2 in k
18.702 * [backup-simplify]: Simplify 1/2 into 1/2
18.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.702 * [taylor]: Taking taylor expansion of 1/2 in k
18.702 * [backup-simplify]: Simplify 1/2 into 1/2
18.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.702 * [taylor]: Taking taylor expansion of k in k
18.702 * [backup-simplify]: Simplify 0 into 0
18.702 * [backup-simplify]: Simplify 1 into 1
18.702 * [backup-simplify]: Simplify (/ 1 1) into 1
18.702 * [taylor]: Taking taylor expansion of (log PI) in k
18.702 * [taylor]: Taking taylor expansion of PI in k
18.702 * [backup-simplify]: Simplify PI into PI
18.702 * [backup-simplify]: Simplify (log PI) into (log PI)
18.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.703 * [backup-simplify]: Simplify (- 1/2) into -1/2
18.703 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
18.704 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.705 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
18.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.707 * [backup-simplify]: Simplify (- 0) into 0
18.707 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.708 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI))
18.709 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.712 * [backup-simplify]: Simplify (- 0) into 0
18.712 * [backup-simplify]: Simplify (+ 0 0) into 0
18.713 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0
18.713 * [backup-simplify]: Simplify 0 into 0
18.716 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.718 * [backup-simplify]: Simplify (- 0) into 0
18.718 * [backup-simplify]: Simplify (+ 0 0) into 0
18.719 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.719 * [backup-simplify]: Simplify 0 into 0
18.724 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
18.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.727 * [backup-simplify]: Simplify (- 0) into 0
18.727 * [backup-simplify]: Simplify (+ 0 0) into 0
18.729 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0
18.729 * [backup-simplify]: Simplify 0 into 0
18.747 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
18.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.750 * [backup-simplify]: Simplify (- 0) into 0
18.751 * [backup-simplify]: Simplify (+ 0 0) into 0
18.753 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0
18.753 * [backup-simplify]: Simplify 0 into 0
18.772 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
18.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.781 * [backup-simplify]: Simplify (- 0) into 0
18.781 * [backup-simplify]: Simplify (+ 0 0) into 0
18.782 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0
18.782 * [backup-simplify]: Simplify 0 into 0
18.829 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0
18.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
18.832 * [backup-simplify]: Simplify (- 0) into 0
18.833 * [backup-simplify]: Simplify (+ 0 0) into 0
18.835 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0
18.836 * [backup-simplify]: Simplify 0 into 0
18.838 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
18.839 * [backup-simplify]: Simplify (* (log PI) (- 1/2 (* (/ 1 (- k)) 1/2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
18.839 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0
18.839 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.839 * [taylor]: Taking taylor expansion of 1/2 in k
18.839 * [backup-simplify]: Simplify 1/2 into 1/2
18.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.839 * [taylor]: Taking taylor expansion of k in k
18.839 * [backup-simplify]: Simplify 0 into 0
18.839 * [backup-simplify]: Simplify 1 into 1
18.840 * [backup-simplify]: Simplify (/ 1 1) into 1
18.840 * [taylor]: Taking taylor expansion of 1/2 in k
18.840 * [backup-simplify]: Simplify 1/2 into 1/2
18.840 * [taylor]: Taking taylor expansion of (log PI) in k
18.840 * [taylor]: Taking taylor expansion of PI in k
18.840 * [backup-simplify]: Simplify PI into PI
18.840 * [backup-simplify]: Simplify (log PI) into (log PI)
18.840 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
18.840 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.840 * [taylor]: Taking taylor expansion of 1/2 in k
18.840 * [backup-simplify]: Simplify 1/2 into 1/2
18.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.840 * [taylor]: Taking taylor expansion of k in k
18.840 * [backup-simplify]: Simplify 0 into 0
18.840 * [backup-simplify]: Simplify 1 into 1
18.841 * [backup-simplify]: Simplify (/ 1 1) into 1
18.841 * [taylor]: Taking taylor expansion of 1/2 in k
18.841 * [backup-simplify]: Simplify 1/2 into 1/2
18.841 * [taylor]: Taking taylor expansion of (log PI) in k
18.841 * [taylor]: Taking taylor expansion of PI in k
18.841 * [backup-simplify]: Simplify PI into PI
18.841 * [backup-simplify]: Simplify (log PI) into (log PI)
18.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.843 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.844 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.845 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.848 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
18.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI))
18.852 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
18.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.857 * [backup-simplify]: Simplify (+ 0 0) into 0
18.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0
18.858 * [backup-simplify]: Simplify 0 into 0
18.862 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
18.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.865 * [backup-simplify]: Simplify (+ 0 0) into 0
18.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
18.866 * [backup-simplify]: Simplify 0 into 0
18.875 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
18.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.878 * [backup-simplify]: Simplify (+ 0 0) into 0
18.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0
18.879 * [backup-simplify]: Simplify 0 into 0
18.895 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
18.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.897 * [backup-simplify]: Simplify (+ 0 0) into 0
18.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0
18.899 * [backup-simplify]: Simplify 0 into 0
18.934 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
18.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.938 * [backup-simplify]: Simplify (+ 0 0) into 0
18.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0
18.940 * [backup-simplify]: Simplify 0 into 0
18.968 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0
18.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
18.971 * [backup-simplify]: Simplify (+ 0 0) into 0
18.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0
18.973 * [backup-simplify]: Simplify 0 into 0
18.975 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
18.975 * * * [progress]: simplifying candidates
18.975 * * * * [progress]: [ 1 / 308 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.975 * * * * [progress]: [ 2 / 308 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 3 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 4 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* 2 n)) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 5 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* 2 n)) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 6 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (* 1 (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 7 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (* 1 (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 8 / 308 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 n) 1/2) (pow (* 2 n) (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 9 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 10 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 11 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) 1) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 12 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) 1/2) (- 1 k)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 13 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 14 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 15 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k)))) (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 16 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) 1/2) (pow (* 2 n) (- (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.976 * * * * [progress]: [ 17 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) 1/2) (pow (* 2 n) (- (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 18 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 2 (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 19 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* 2 n) (- 1/2 (* k 1/2))) 1) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 20 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 21 / 308 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 22 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 23 / 308 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 24 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 25 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 26 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 27 / 308 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.977 * * * * [progress]: [ 28 / 308 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.977 * * * * [progress]: [ 29 / 308 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.977 * * * * [progress]: [ 30 / 308 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) 1))>
18.977 * * * * [progress]: [ 31 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
18.978 * * * * [progress]: [ 32 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 33 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
18.978 * * * * [progress]: [ 34 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 35 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
18.978 * * * * [progress]: [ 36 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 37 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
18.978 * * * * [progress]: [ 38 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 39 / 308 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 40 / 308 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 41 / 308 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (* (* (exp (* (log PI) (- 1/2 (* k 1/2)))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
18.978 * * * * [progress]: [ 42 / 308 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (* (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 43 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 44 / 308 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.978 * * * * [progress]: [ 45 / 308 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.979 * * * * [progress]: [ 46 / 308 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) 1/2) (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (pow (* 2 n) (* k 1/2)) (sqrt k))))>
18.979 * * * * [progress]: [ 47 / 308 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.979 * * * * [progress]: [ 48 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.979 * * * * [progress]: [ 49 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.979 * * * * [progress]: [ 50 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.979 * * * * [progress]: [ 51 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.979 * * * * [progress]: [ 52 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.979 * * * * [progress]: [ 53 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.979 * * * * [progress]: [ 54 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.979 * * * * [progress]: [ 55 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.979 * * * * [progress]: [ 56 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))))>
18.979 * * * * [progress]: [ 57 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))))>
18.979 * * * * [progress]: [ 58 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.980 * * * * [progress]: [ 59 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt 1))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.980 * * * * [progress]: [ 60 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.980 * * * * [progress]: [ 61 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.980 * * * * [progress]: [ 62 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))))>
18.980 * * * * [progress]: [ 63 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))))>
18.980 * * * * [progress]: [ 64 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.980 * * * * [progress]: [ 65 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt 1))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.980 * * * * [progress]: [ 66 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.980 * * * * [progress]: [ 67 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.980 * * * * [progress]: [ 68 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))))>
18.980 * * * * [progress]: [ 69 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))))>
18.980 * * * * [progress]: [ 70 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.980 * * * * [progress]: [ 71 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt 1))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.981 * * * * [progress]: [ 72 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))))>
18.981 * * * * [progress]: [ 73 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))))>
18.981 * * * * [progress]: [ 74 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k)))))>
18.981 * * * * [progress]: [ 75 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k)))))>
18.981 * * * * [progress]: [ 76 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))))>
18.981 * * * * [progress]: [ 77 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt 1))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))))>
18.981 * * * * [progress]: [ 78 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))))>
18.981 * * * * [progress]: [ 79 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) 1)) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))))>
18.981 * * * * [progress]: [ 80 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k)))))>
18.981 * * * * [progress]: [ 81 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k)))))>
18.981 * * * * [progress]: [ 82 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))))>
18.981 * * * * [progress]: [ 83 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt 1))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))))>
18.981 * * * * [progress]: [ 84 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))))>
18.981 * * * * [progress]: [ 85 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) 1)) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))))>
18.981 * * * * [progress]: [ 86 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))))>
18.982 * * * * [progress]: [ 87 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))))>
18.982 * * * * [progress]: [ 88 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.982 * * * * [progress]: [ 89 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.982 * * * * [progress]: [ 90 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.982 * * * * [progress]: [ 91 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.982 * * * * [progress]: [ 92 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))))>
18.982 * * * * [progress]: [ 93 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))))>
18.982 * * * * [progress]: [ 94 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.982 * * * * [progress]: [ 95 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.982 * * * * [progress]: [ 96 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.982 * * * * [progress]: [ 97 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.982 * * * * [progress]: [ 98 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))))>
18.983 * * * * [progress]: [ 99 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))))>
18.983 * * * * [progress]: [ 100 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.983 * * * * [progress]: [ 101 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt 1))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.983 * * * * [progress]: [ 102 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))))>
18.983 * * * * [progress]: [ 103 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))))>
18.983 * * * * [progress]: [ 104 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k)))))>
18.983 * * * * [progress]: [ 105 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k)))))>
18.983 * * * * [progress]: [ 106 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))))>
18.983 * * * * [progress]: [ 107 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt 1))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))))>
18.983 * * * * [progress]: [ 108 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))))>
18.983 * * * * [progress]: [ 109 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) 1)) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))))>
18.983 * * * * [progress]: [ 110 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k)))))>
18.983 * * * * [progress]: [ 111 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k)))))>
18.983 * * * * [progress]: [ 112 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))))>
18.984 * * * * [progress]: [ 113 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt 1))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))))>
18.984 * * * * [progress]: [ 114 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))))>
18.984 * * * * [progress]: [ 115 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) 1)) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))))>
18.984 * * * * [progress]: [ 116 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k)))))>
18.984 * * * * [progress]: [ 117 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k)))))>
18.984 * * * * [progress]: [ 118 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))))>
18.985 * * * * [progress]: [ 119 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt 1))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.985 * * * * [progress]: [ 120 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))))>
18.985 * * * * [progress]: [ 121 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) 1)) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.985 * * * * [progress]: [ 122 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k)))))>
18.985 * * * * [progress]: [ 123 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k)))))>
18.985 * * * * [progress]: [ 124 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))))>
18.985 * * * * [progress]: [ 125 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt 1))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.985 * * * * [progress]: [ 126 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))))>
18.985 * * * * [progress]: [ 127 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.985 * * * * [progress]: [ 128 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))>
18.985 * * * * [progress]: [ 129 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))))>
18.985 * * * * [progress]: [ 130 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
18.986 * * * * [progress]: [ 131 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt 1))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.986 * * * * [progress]: [ 132 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))>
18.986 * * * * [progress]: [ 133 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 1)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.986 * * * * [progress]: [ 134 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) 1) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.986 * * * * [progress]: [ 135 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (/ 1 (sqrt k))))>
18.986 * * * * [progress]: [ 136 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 137 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 138 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k)))) (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 139 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) 1/2) (* (pow (* 2 n) (- (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 140 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) 1/2) (* (pow (* 2 n) (- (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 141 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 142 / 308 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))) (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.986 * * * * [progress]: [ 143 / 308 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.987 * * * * [progress]: [ 144 / 308 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.987 * * * * [progress]: [ 145 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.987 * * * * [progress]: [ 146 / 308 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k)))>
18.987 * * * * [progress]: [ 147 / 308 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 n) 1/2) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (pow (* 2 n) (* k 1/2))))>
18.987 * * * * [progress]: [ 148 / 308 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 149 / 308 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))>
18.987 * * * * [progress]: [ 150 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (log1p (expm1 (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 151 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (expm1 (log1p (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 152 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) 1)))>
18.987 * * * * [progress]: [ 153 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))))>
18.987 * * * * [progress]: [ 154 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 155 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (log (exp (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 156 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (/ (* (* (exp (* (log PI) (- 1/2 (* k 1/2)))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
18.987 * * * * [progress]: [ 157 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (* (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.987 * * * * [progress]: [ 158 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (* (* (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.988 * * * * [progress]: [ 159 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.988 * * * * [progress]: [ 160 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (- (exp (* (log PI) (- 1/2 (* k 1/2))))) (- (sqrt k)))))>
18.988 * * * * [progress]: [ 161 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k))))))>
18.988 * * * * [progress]: [ 162 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k))))))>
18.988 * * * * [progress]: [ 163 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.988 * * * * [progress]: [ 164 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.988 * * * * [progress]: [ 165 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.988 * * * * [progress]: [ 166 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) 1) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.988 * * * * [progress]: [ 167 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k))))))>
18.988 * * * * [progress]: [ 168 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k))))))>
18.988 * * * * [progress]: [ 169 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.988 * * * * [progress]: [ 170 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.988 * * * * [progress]: [ 171 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.989 * * * * [progress]: [ 172 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) 1) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.989 * * * * [progress]: [ 173 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k))))))>
18.989 * * * * [progress]: [ 174 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k))))))>
18.989 * * * * [progress]: [ 175 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.989 * * * * [progress]: [ 176 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt 1)) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.989 * * * * [progress]: [ 177 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k))) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k))))))>
18.989 * * * * [progress]: [ 178 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) 1) (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
18.989 * * * * [progress]: [ 179 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k))))))>
18.989 * * * * [progress]: [ 180 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k))))))>
18.989 * * * * [progress]: [ 181 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k))))))>
18.989 * * * * [progress]: [ 182 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt 1)) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k)))))>
18.989 * * * * [progress]: [ 183 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k))))))>
18.989 * * * * [progress]: [ 184 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) 1) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k)))))>
18.989 * * * * [progress]: [ 185 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k))))))>
18.990 * * * * [progress]: [ 186 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k))))))>
18.990 * * * * [progress]: [ 187 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k))))))>
18.990 * * * * [progress]: [ 188 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt 1)) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k)))))>
18.990 * * * * [progress]: [ 189 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k))))))>
18.990 * * * * [progress]: [ 190 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (log PI) 1/2)) 1) (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k)))))>
18.990 * * * * [progress]: [ 191 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k))))))>
18.990 * * * * [progress]: [ 192 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k))))))>
18.990 * * * * [progress]: [ 193 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.990 * * * * [progress]: [ 194 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.991 * * * * [progress]: [ 195 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.991 * * * * [progress]: [ 196 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) 1) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.991 * * * * [progress]: [ 197 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k))))))>
18.991 * * * * [progress]: [ 198 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k))))))>
18.991 * * * * [progress]: [ 199 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.991 * * * * [progress]: [ 200 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.991 * * * * [progress]: [ 201 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.991 * * * * [progress]: [ 202 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) 1) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.991 * * * * [progress]: [ 203 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k))))))>
18.991 * * * * [progress]: [ 204 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k))))))>
18.991 * * * * [progress]: [ 205 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.991 * * * * [progress]: [ 206 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt 1)) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.991 * * * * [progress]: [ 207 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k))))))>
18.991 * * * * [progress]: [ 208 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) 1) (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k)))))>
18.992 * * * * [progress]: [ 209 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k))))))>
18.992 * * * * [progress]: [ 210 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k))))))>
18.992 * * * * [progress]: [ 211 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k))))))>
18.992 * * * * [progress]: [ 212 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt 1)) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k)))))>
18.992 * * * * [progress]: [ 213 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k))))))>
18.992 * * * * [progress]: [ 214 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) 1) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k)))))>
18.992 * * * * [progress]: [ 215 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k))))))>
18.992 * * * * [progress]: [ 216 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k))))))>
18.992 * * * * [progress]: [ 217 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k))))))>
18.992 * * * * [progress]: [ 218 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt 1)) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k)))))>
18.992 * * * * [progress]: [ 219 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k))))))>
18.992 * * * * [progress]: [ 220 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (exp (* 1/2 (log PI))) 1) (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k)))))>
18.992 * * * * [progress]: [ 221 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k))))))>
18.992 * * * * [progress]: [ 222 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k))))))>
18.993 * * * * [progress]: [ 223 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.993 * * * * [progress]: [ 224 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt 1)) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k)))))>
18.993 * * * * [progress]: [ 225 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.993 * * * * [progress]: [ 226 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) 1) (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k)))))>
18.993 * * * * [progress]: [ 227 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k))))))>
18.993 * * * * [progress]: [ 228 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k))))))>
18.993 * * * * [progress]: [ 229 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.993 * * * * [progress]: [ 230 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt 1)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k)))))>
18.993 * * * * [progress]: [ 231 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))))>
18.993 * * * * [progress]: [ 232 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k)))))>
18.993 * * * * [progress]: [ 233 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))>
18.993 * * * * [progress]: [ 234 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (cbrt k))))))>
18.993 * * * * [progress]: [ 235 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
18.993 * * * * [progress]: [ 236 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt 1)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.994 * * * * [progress]: [ 237 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
18.994 * * * * [progress]: [ 238 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (/ 1 1) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.994 * * * * [progress]: [ 239 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* 1 (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
18.994 * * * * [progress]: [ 240 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (exp (* (log PI) (- 1/2 (* k 1/2)))) (/ 1 (sqrt k)))))>
18.994 * * * * [progress]: [ 241 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (/ (sqrt k) (exp (* (log PI) (- 1/2 (* k 1/2))))))))>
18.994 * * * * [progress]: [ 242 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
18.994 * * * * [progress]: [ 243 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
18.994 * * * * [progress]: [ 244 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
18.994 * * * * [progress]: [ 245 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt 1)) (sqrt k))))>
18.994 * * * * [progress]: [ 246 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
18.994 * * * * [progress]: [ 247 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) 1) (sqrt k))))>
18.994 * * * * [progress]: [ 248 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k))))))))>
18.994 * * * * [progress]: [ 249 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k))))))))>
18.995 * * * * [progress]: [ 250 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k))))))))>
18.995 * * * * [progress]: [ 251 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (exp (* (log PI) (- (* k 1/2))))))))>
18.995 * * * * [progress]: [ 252 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (exp (* (log PI) (- (* k 1/2))))))))>
18.995 * * * * [progress]: [ 253 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI)))))))>
18.995 * * * * [progress]: [ 254 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI)))))))>
18.995 * * * * [progress]: [ 255 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI)))))))>
18.995 * * * * [progress]: [ 256 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (exp (* (- (* k 1/2)) (log PI)))))))>
18.995 * * * * [progress]: [ 257 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (exp (* (- (* k 1/2)) (log PI)))))))>
18.995 * * * * [progress]: [ 258 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (/ (sqrt k) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))))))>
18.995 * * * * [progress]: [ 259 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (/ (sqrt k) (sqrt (exp (* (log PI) (- 1/2 (* k 1/2)))))))))>
18.995 * * * * [progress]: [ 260 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (/ (sqrt k) (exp (* (log PI) (- 1/2 (* k 1/2))))))))>
18.995 * * * * [progress]: [ 261 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (posit16->real (real->posit16 (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))))>
18.995 * * * * [progress]: [ 262 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (log1p (expm1 (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.995 * * * * [progress]: [ 263 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (expm1 (log1p (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 264 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (pow (* (log PI) (- 1/2 (* k 1/2))) 1)) (sqrt k))))>
18.996 * * * * [progress]: [ 265 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (pow (* (log PI) (- 1/2 (* k 1/2))) 1)) (sqrt k))))>
18.996 * * * * [progress]: [ 266 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (exp (+ (log (log PI)) (log (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 267 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (exp (log (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 268 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (log (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 269 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (cbrt (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (* k 1/2)) (- 1/2 (* k 1/2))) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 270 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (cbrt (* (log PI) (- 1/2 (* k 1/2)))) (cbrt (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 271 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (cbrt (* (* (* (log PI) (- 1/2 (* k 1/2))) (* (log PI) (- 1/2 (* k 1/2)))) (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 272 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (sqrt (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 273 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1 (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.996 * * * * [progress]: [ 274 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (sqrt (log PI)) (sqrt (- 1/2 (* k 1/2)))) (* (sqrt (log PI)) (sqrt (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.996 * * * * [progress]: [ 275 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (log PI) (fma (- 1/2) k (* 1/2 k))))) (sqrt k))))>
18.996 * * * * [progress]: [ 276 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (log PI) (fma (- 1/2) k (* 1/2 k))))) (sqrt k))))>
18.996 * * * * [progress]: [ 277 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (log PI) (fma 1 1/2 (- (* 1/2 k)))) (* (log PI) (fma (- 1/2) k (* 1/2 k))))) (sqrt k))))>
18.996 * * * * [progress]: [ 278 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (log PI) 1/2) (* (log PI) (- (* k 1/2))))) (sqrt k))))>
18.997 * * * * [progress]: [ 279 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (log PI) 1/2) (* (log PI) (- (* k 1/2))))) (sqrt k))))>
18.997 * * * * [progress]: [ 280 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI)) (* (fma (- 1/2) k (* 1/2 k)) (log PI)))) (sqrt k))))>
18.997 * * * * [progress]: [ 281 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI)) (* (fma (- 1/2) k (* 1/2 k)) (log PI)))) (sqrt k))))>
18.997 * * * * [progress]: [ 282 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* (fma 1 1/2 (- (* 1/2 k))) (log PI)) (* (fma (- 1/2) k (* 1/2 k)) (log PI)))) (sqrt k))))>
18.997 * * * * [progress]: [ 283 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* 1/2 (log PI)) (* (- (* k 1/2)) (log PI)))) (sqrt k))))>
18.997 * * * * [progress]: [ 284 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (+ (* 1/2 (log PI)) (* (- (* k 1/2)) (log PI)))) (sqrt k))))>
18.997 * * * * [progress]: [ 285 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2))))) (sqrt k))))>
18.997 * * * * [progress]: [ 286 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (log PI) (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2))))) (sqrt k))))>
18.997 * * * * [progress]: [ 287 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (log PI) 1) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.997 * * * * [progress]: [ 288 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (log PI) 1/2) (- 1 k))) (sqrt k))))>
18.997 * * * * [progress]: [ 289 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1 (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.997 * * * * [progress]: [ 290 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.998 * * * * [progress]: [ 291 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.998 * * * * [progress]: [ 292 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1 (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))>
18.998 * * * * [progress]: [ 293 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (* k 1/2) 3))) (+ (* 1/2 1/2) (+ (* (* k 1/2) (* k 1/2)) (* 1/2 (* k 1/2)))))) (sqrt k))))>
18.998 * * * * [progress]: [ 294 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (* k 1/2) (* k 1/2)))) (+ 1/2 (* k 1/2)))) (sqrt k))))>
18.998 * * * * [progress]: [ 295 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (posit16->real (real->posit16 (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt k))))>
18.998 * * * * [progress]: [ 296 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))))>
18.998 * * * * [progress]: [ 297 / 308 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.998 * * * * [progress]: [ 298 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.998 * * * * [progress]: [ 299 / 308 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))>
18.998 * * * * [progress]: [ 300 / 308 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
18.998 * * * * [progress]: [ 301 / 308 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
18.998 * * * * [progress]: [ 302 / 308 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
18.999 * * * * [progress]: [ 303 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))))>
18.999 * * * * [progress]: [ 304 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
18.999 * * * * [progress]: [ 305 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))))>
18.999 * * * * [progress]: [ 306 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))) (sqrt k))))>
18.999 * * * * [progress]: [ 307 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))) (sqrt k))))>
18.999 * * * * [progress]: [ 308 / 308 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))) (sqrt k))))>
19.006 * [simplify]: Simplifying:
  (expm1 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (log1p (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (+ (log 2) (log n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (* k 1/2))
  (pow (* 2 n) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow (* 2 n) (sqrt (- 1/2 (* k 1/2))))
  (pow (* 2 n) 1)
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) (fma 1 1/2 (- (* 1/2 k))))
  (pow (* 2 n) (fma (- 1/2) k (* 1/2 k)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (- (* k 1/2)))
  (pow (* 2 n) 1/2)
  (pow (* 2 n) (- (* k 1/2)))
  (pow 2 (- 1/2 (* k 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (log (pow (* 2 n) (- 1/2 (* k 1/2))))
  (exp (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (expm1 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (log1p (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (+ (log 2) (log n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (log (pow (* 2 n) (- 1/2 (* k 1/2)))) (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (log (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (exp (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (* (* (exp (* (log PI) (- 1/2 (* k 1/2)))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (* (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))
  (cbrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (sqrt (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (pow (* 2 n) 1/2) (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (* (pow (* 2 n) (* k 1/2)) (sqrt k))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) 1/2)) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* 1/2 (log PI))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt 1)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ 1 1))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) 1)
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (fma (- 1/2) k (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (- (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (- (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (* (pow (* 2 n) 1/2) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (real->posit16 (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (expm1 (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (log1p (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))
  (log (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (exp (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (/ (* (* (exp (* (log PI) (- 1/2 (* k 1/2)))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))
  (cbrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (* (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (sqrt (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (- (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (- (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt 1))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))) 1)
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt 1))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))) 1)
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt 1))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (fma 1 1/2 (- (* 1/2 k))))) 1)
  (/ (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))) (sqrt k))
  (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt 1))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))
  (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) 1)
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))
  (/ (exp (* (log PI) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (- (* k 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) (sqrt 1))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))
  (/ (exp (* (log PI) 1/2)) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) 1/2)) 1)
  (/ (exp (* (log PI) (- (* k 1/2)))) (sqrt k))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))) 1)
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt 1))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))) 1)
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (cbrt (sqrt k)))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (cbrt k)))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt 1))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (fma 1 1/2 (- (* 1/2 k))) (log PI))) 1)
  (/ (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))) (sqrt k))
  (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt 1))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))
  (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) 1)
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))
  (/ (exp (* 1/2 (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- (* k 1/2)) (log PI))) (cbrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (cbrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) (sqrt 1))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))
  (/ (exp (* 1/2 (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* 1/2 (log PI))) 1)
  (/ (exp (* (- (* k 1/2)) (log PI))) (sqrt k))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k)))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k)))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt 1))
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2)))))) 1)
  (/ (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (cbrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt 1))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1)
  (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt 1))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) 1)
  (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))))
  (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))))
  (/ (sqrt k) (exp (* (log PI) (fma (- 1/2) k (* 1/2 k)))))
  (/ (sqrt k) (exp (* (log PI) (- (* k 1/2)))))
  (/ (sqrt k) (exp (* (log PI) (- (* k 1/2)))))
  (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))))
  (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))))
  (/ (sqrt k) (exp (* (fma (- 1/2) k (* 1/2 k)) (log PI))))
  (/ (sqrt k) (exp (* (- (* k 1/2)) (log PI))))
  (/ (sqrt k) (exp (* (- (* k 1/2)) (log PI))))
  (/ (sqrt k) (cbrt (exp (* (log PI) (- 1/2 (* k 1/2))))))
  (/ (sqrt k) (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))))
  (/ (sqrt k) (exp (* (log PI) (- 1/2 (* k 1/2)))))
  (real->posit16 (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
  (expm1 (* (log PI) (- 1/2 (* k 1/2))))
  (log1p (* (log PI) (- 1/2 (* k 1/2))))
  (* (log PI) (- 1/2 (* k 1/2)))
  (+ (log (log PI)) (log (- 1/2 (* k 1/2))))
  (log (* (log PI) (- 1/2 (* k 1/2))))
  (exp (* (log PI) (- 1/2 (* k 1/2))))
  (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (* k 1/2)) (- 1/2 (* k 1/2))) (- 1/2 (* k 1/2))))
  (* (cbrt (* (log PI) (- 1/2 (* k 1/2)))) (cbrt (* (log PI) (- 1/2 (* k 1/2)))))
  (cbrt (* (log PI) (- 1/2 (* k 1/2))))
  (* (* (* (log PI) (- 1/2 (* k 1/2))) (* (log PI) (- 1/2 (* k 1/2)))) (* (log PI) (- 1/2 (* k 1/2))))
  (sqrt (* (log PI) (- 1/2 (* k 1/2))))
  (sqrt (* (log PI) (- 1/2 (* k 1/2))))
  (* (sqrt (log PI)) (sqrt (- 1/2 (* k 1/2))))
  (* (sqrt (log PI)) (sqrt (- 1/2 (* k 1/2))))
  (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (* (log PI) (fma (- 1/2) k (* 1/2 k)))
  (* (log PI) (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (* (log PI) (fma (- 1/2) k (* 1/2 k)))
  (* (log PI) (fma 1 1/2 (- (* 1/2 k))))
  (* (log PI) (fma (- 1/2) k (* 1/2 k)))
  (* (log PI) 1/2)
  (* (log PI) (- (* k 1/2)))
  (* (log PI) 1/2)
  (* (log PI) (- (* k 1/2)))
  (* (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))) (log PI))
  (* (fma (- 1/2) k (* 1/2 k)) (log PI))
  (* (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))) (log PI))
  (* (fma (- 1/2) k (* 1/2 k)) (log PI))
  (* (fma 1 1/2 (- (* 1/2 k))) (log PI))
  (* (fma (- 1/2) k (* 1/2 k)) (log PI))
  (* 1/2 (log PI))
  (* (- (* k 1/2)) (log PI))
  (* 1/2 (log PI))
  (* (- (* k 1/2)) (log PI))
  (* (log PI) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (* (log PI) (sqrt (- 1/2 (* k 1/2))))
  (* (log PI) 1)
  (* (log PI) 1/2)
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (cbrt (log PI)) (- 1/2 (* k 1/2)))
  (* (sqrt (log PI)) (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (log PI) (- (pow 1/2 3) (pow (* k 1/2) 3)))
  (* (log PI) (- (* 1/2 1/2) (* (* k 1/2) (* k 1/2))))
  (real->posit16 (* (log PI) (- 1/2 (* k 1/2))))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
  (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
  (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
  (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k)))
19.019 * * [simplify]: iteration 0: 513 enodes
19.252 * * [simplify]: iteration 1: 1444 enodes
20.068 * * [simplify]: iteration complete: 5001 enodes
20.069 * * [simplify]: Extracting #0: cost 162 inf + 0
20.071 * * [simplify]: Extracting #1: cost 777 inf + 1
20.077 * * [simplify]: Extracting #2: cost 1149 inf + 1169
20.104 * * [simplify]: Extracting #3: cost 1283 inf + 62936
20.157 * * [simplify]: Extracting #4: cost 693 inf + 331005
20.270 * * [simplify]: Extracting #5: cost 305 inf + 544907
20.385 * * [simplify]: Extracting #6: cost 187 inf + 613485
20.514 * * [simplify]: Extracting #7: cost 160 inf + 649862
20.660 * * [simplify]: Extracting #8: cost 142 inf + 689750
20.842 * * [simplify]: Extracting #9: cost 125 inf + 720466
21.025 * * [simplify]: Extracting #10: cost 50 inf + 753228
21.232 * * [simplify]: Extracting #11: cost 23 inf + 790226
21.509 * * [simplify]: Extracting #12: cost 2 inf + 837547
21.810 * * [simplify]: Extracting #13: cost 0 inf + 840779
22.079 * * [simplify]: Extracting #14: cost 0 inf + 840619
22.357 * [simplify]: Simplified to:
  (expm1 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (log1p (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (- 1/2 (* k 1/2))
  (- 1/2 (* k 1/2))
  (sqrt (* 2 n))
  (pow (* 2 n) (* k 1/2))
  (pow (* 2 n) (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow (* 2 n) (sqrt (- 1/2 (* k 1/2))))
  (* 2 n)
  (sqrt (* 2 n))
  (pow (* 2 n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (pow (* 2 n) (* k (+ -1/2 1/2)))
  (sqrt (* 2 n))
  (pow (* 2 n) (* -1/2 k))
  (sqrt (* 2 n))
  (pow (* 2 n) (* -1/2 k))
  (pow 2 (- 1/2 (* k 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (* (log (* 2 n)) (- 1/2 (* k 1/2)))
  (exp (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (cbrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (pow (pow (* 2 n) (- 1/2 (* k 1/2))) 3)
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (sqrt (pow (* 2 n) (- 1/2 (* k 1/2))))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow (* 2 n) (- 1/2 (* k 1/2))))
  (expm1 (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (log1p (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (exp (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ k (exp (* (- 1/2 (* k 1/2)) (log PI))))))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ k (exp (* (- 1/2 (* k 1/2)) (log PI))))))))
  (* (cbrt (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2))))) (cbrt (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2))))))
  (cbrt (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ k (exp (* (- 1/2 (* k 1/2)) (log PI))))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (pow (* 2 n) (- 1/2 (* k 1/2))))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (sqrt (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (sqrt (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (* 2 n)))
  (* (sqrt k) (pow (* 2 n) (* k 1/2)))
  (* (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k))))
  (* (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)))
  (* (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)))
  (/ (* (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (* (cbrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (* (cbrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (cbrt (sqrt k))))
  (/ (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (sqrt k)) (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))))
  (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (sqrt k)) (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))))
  (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (fabs (cbrt k)))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (fabs (cbrt k)))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (* (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (cbrt (sqrt k))))
  (/ (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (sqrt k)) (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))))
  (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (sqrt k)) (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))))
  (* (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (fabs (cbrt k)))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (fabs (cbrt k)))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI)) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt PI))
  (* (* (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k))) (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))) (fabs (cbrt k)))
  (/ (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (pow (* 2 n) (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (fabs (cbrt k)) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI))))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (sqrt (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (/ (pow (* 2 n) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (pow (* 2 n) (- 1/2 (* k 1/2)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (* (pow (* 2 n) (fma -1/2 k (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (* (pow (* 2 n) (fma -1/2 k (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (* (pow (* 2 n) (fma -1/2 k (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (* -1/2 k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (* -1/2 k)))
  (/ (* (pow n (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (cbrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (sqrt k) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (* (sqrt (pow (* 2 n) (- 1/2 (* k 1/2)))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2))))
  (* (pow (* 2 n) (/ (- 1/2 (* k 1/2)) 2)) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (sqrt (* 2 n)) (/ (sqrt k) (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (real->posit16 (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)) (pow (* 2 n) (- 1/2 (* k 1/2)))))
  (expm1 (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (log1p (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (log PI)) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (log PI)) (log (sqrt k)))
  (exp (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ k (exp (* (- 1/2 (* k 1/2)) (log PI))))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (* (cbrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))) (cbrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))))
  (cbrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (* (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ k (exp (* (- 1/2 (* k 1/2)) (log PI))))) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (sqrt (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (- (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (- (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (* -1/2 k) (log PI))) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (* -1/2 k) (log PI))) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (cbrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (fabs (cbrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (log PI) (* k (+ -1/2 1/2)))) (sqrt k))
  (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (* -1/2 k) (log PI))) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (* -1/2 k) (log PI))) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (exp (* (* -1/2 k) (log PI))) (sqrt k))
  (* (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k))) (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k))))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k)))
  (/ (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (fabs (cbrt k)))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (cbrt k)))
  (/ (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI))))) (sqrt (sqrt k)))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (fabs (cbrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (cbrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt (sqrt k)))
  (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  1
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  1
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (* -1/2 k) (log PI))))
  (/ (sqrt k) (exp (* (* -1/2 k) (log PI))))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (log PI) (* k (+ -1/2 1/2)))))
  (/ (sqrt k) (exp (* (* -1/2 k) (log PI))))
  (/ (sqrt k) (exp (* (* -1/2 k) (log PI))))
  (/ (sqrt k) (cbrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (sqrt k) (sqrt (exp (* (- 1/2 (* k 1/2)) (log PI)))))
  (/ (sqrt k) (exp (* (- 1/2 (* k 1/2)) (log PI))))
  (real->posit16 (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (sqrt k)))
  (expm1 (* (- 1/2 (* k 1/2)) (log PI)))
  (log1p (* (- 1/2 (* k 1/2)) (log PI)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (log (* (- 1/2 (* k 1/2)) (log PI)))
  (log (* (- 1/2 (* k 1/2)) (log PI)))
  (exp (* (- 1/2 (* k 1/2)) (log PI)))
  (* (* (log PI) (* (* (- 1/2 (* k 1/2)) (log PI)) (* (- 1/2 (* k 1/2)) (log PI)))) (- 1/2 (* k 1/2)))
  (* (cbrt (* (- 1/2 (* k 1/2)) (log PI))) (cbrt (* (- 1/2 (* k 1/2)) (log PI))))
  (cbrt (* (- 1/2 (* k 1/2)) (log PI)))
  (* (* (- 1/2 (* k 1/2)) (log PI)) (* (* (- 1/2 (* k 1/2)) (log PI)) (* (- 1/2 (* k 1/2)) (log PI))))
  (sqrt (* (- 1/2 (* k 1/2)) (log PI)))
  (sqrt (* (- 1/2 (* k 1/2)) (log PI)))
  (* (sqrt (- 1/2 (* k 1/2))) (sqrt (log PI)))
  (* (sqrt (- 1/2 (* k 1/2))) (sqrt (log PI)))
  (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* 1/2 (log PI))
  (* (* -1/2 k) (log PI))
  (* 1/2 (log PI))
  (* (* -1/2 k) (log PI))
  (* (log PI) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (log PI) (* k (+ -1/2 1/2)))
  (* 1/2 (log PI))
  (* (* -1/2 k) (log PI))
  (* 1/2 (log PI))
  (* (* -1/2 k) (log PI))
  (* (* (log PI) (cbrt (- 1/2 (* k 1/2)))) (cbrt (- 1/2 (* k 1/2))))
  (* (sqrt (- 1/2 (* k 1/2))) (log PI))
  (log PI)
  (* 1/2 (log PI))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (- 1/2 (* k 1/2)) (cbrt (log PI)))
  (* (sqrt (log PI)) (- 1/2 (* k 1/2)))
  (* (- 1/2 (* k 1/2)) (log PI))
  (* (log PI) (- 1/8 (* (* (* k k) k) 1/8)))
  (* (- 1/4 (* (* k k) 1/4)) (log PI))
  (real->posit16 (* (- 1/2 (* k 1/2)) (log PI)))
  (- (+ (exp (* (log (* 2 n)) 1/2)) (fma 1/8 (* (* (* (log 2) (log 2)) (* k k)) (exp (* (log (* 2 n)) 1/2))) (fma (* (exp (* (log (* 2 n)) 1/2)) (* (* (* k k) (log n)) (log 2))) 1/4 (* (* (* (exp (* (log (* 2 n)) 1/2)) (* (log n) (log n))) (* k k)) 1/8)))) (* 1/2 (* k (+ (* (exp (* (log (* 2 n)) 1/2)) (log n)) (* (log 2) (exp (* (log (* 2 n)) 1/2)))))))
  (exp (* (log (* 2 n)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))))
  (+ (* (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* (* k k) (* (log n) (log n)))) (- (sqrt PI))) (fma (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (sqrt PI) (- (+ (- (* (* +nan.0 (* (log 2) (log 2))) (* (* (sqrt PI) (* k k)) (exp (* (log (* 2 n)) 1/2)))) (* +nan.0 (* (* k (exp (* (log (* 2 n)) 1/2))) (sqrt PI)))) (+ (- (* (log 2) (* (exp (* (log (* 2 n)) 1/2)) (* (* +nan.0 (log PI)) (* (sqrt PI) (* k k))))) (* (exp (* (log (* 2 n)) 1/2)) (* (* (* +nan.0 (log PI)) k) (sqrt PI)))) (- (* (exp (* (log (* 2 n)) 1/2)) (* (* +nan.0 (log PI)) (* (sqrt PI) (* k k)))) (+ (- (* (* (* +nan.0 (* (log 2) (exp (* (log (* 2 n)) 1/2)))) (* k k)) (sqrt PI)) (* (log 2) (* +nan.0 (* (* k (exp (* (log (* 2 n)) 1/2))) (sqrt PI))))) (- (* (* (* (sqrt PI) (* (exp (* (log (* 2 n)) 1/2)) (log PI))) (* (* k k) (log n))) +nan.0) (- (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* (sqrt PI) (* k k))) (+ (- (* (* +nan.0 (exp (* (log (* 2 n)) 1/2))) (* (* (log PI) (log PI)) (* (sqrt PI) (* k k)))) (* (* (sqrt PI) (* (* (* k k) (log n)) (exp (* (log (* 2 n)) 1/2)))) +nan.0)) (* +nan.0 (- (* (log 2) (* (sqrt PI) (* (* (* k k) (log n)) (exp (* (log (* 2 n)) 1/2))))) (* (* (exp (* (log (* 2 n)) 1/2)) (* (log n) k)) (sqrt PI))))))))))))))
  (+ (- (/ (* +nan.0 (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (* (- 1/2 (* k 1/2)) (log PI))))) (* k k))) (- (/ +nan.0 (/ k (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (* (- 1/2 (* k 1/2)) (log PI)))))) (/ (* +nan.0 (exp (+ (* (log (* 2 n)) (- 1/2 (* k 1/2))) (* (- 1/2 (* k 1/2)) (log PI))))) (* (* k k) k))))
  (+ (* (exp (+ (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))) (* (- 1/2 (* k 1/2)) (log PI)))) (- +nan.0)) (* +nan.0 (- (/ (exp (+ (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))) (* (- 1/2 (* k 1/2)) (log PI)))) k) (/ (exp (+ (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))) (* (- 1/2 (* k 1/2)) (log PI)))) (* k k)))))
  (+ (- (* (* (* +nan.0 (log PI)) k) (sqrt PI))) (- (* (* +nan.0 (sqrt PI)) k) (+ (- (* +nan.0 (* (sqrt PI) (* k k))) (* (* +nan.0 (log PI)) (* (sqrt PI) (* k k)))) (* +nan.0 (- (sqrt PI) (* (* (log PI) (log PI)) (* (sqrt PI) (* k k))))))))
  (+ (* (- (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) k)) +nan.0) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (* k k) k)) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* k k)))))
  (+ (* (- (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) k)) +nan.0) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (log PI))))))
  (* 1/2 (- (log PI) (* k (log PI))))
  (* 1/2 (- (log PI) (* k (log PI))))
  (* 1/2 (- (log PI) (* k (log PI))))
22.401 * * * [progress]: adding candidates to table
24.035 * * [progress]: iteration 4 / 4
24.035 * * * [progress]: picking best candidate
24.071 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
24.071 * * * [progress]: localizing error
24.140 * * * [progress]: generating rewritten candidates
24.140 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
24.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
24.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
24.262 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
24.356 * * * [progress]: generating series expansions
24.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
24.356 * [backup-simplify]: Simplify (pow n (- 1/2 (* k 1/2))) into (pow n (- 1/2 (* 1/2 k)))
24.357 * [approximate]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0
24.357 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.357 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.357 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.357 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.357 * [taylor]: Taking taylor expansion of 1/2 in k
24.357 * [backup-simplify]: Simplify 1/2 into 1/2
24.357 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.357 * [taylor]: Taking taylor expansion of 1/2 in k
24.357 * [backup-simplify]: Simplify 1/2 into 1/2
24.357 * [taylor]: Taking taylor expansion of k in k
24.357 * [backup-simplify]: Simplify 0 into 0
24.357 * [backup-simplify]: Simplify 1 into 1
24.357 * [taylor]: Taking taylor expansion of (log n) in k
24.357 * [taylor]: Taking taylor expansion of n in k
24.357 * [backup-simplify]: Simplify n into n
24.357 * [backup-simplify]: Simplify (log n) into (log n)
24.358 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.358 * [backup-simplify]: Simplify (- 0) into 0
24.358 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.359 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.359 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.359 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
24.359 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
24.359 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
24.359 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.359 * [taylor]: Taking taylor expansion of 1/2 in n
24.359 * [backup-simplify]: Simplify 1/2 into 1/2
24.359 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.359 * [taylor]: Taking taylor expansion of 1/2 in n
24.359 * [backup-simplify]: Simplify 1/2 into 1/2
24.359 * [taylor]: Taking taylor expansion of k in n
24.359 * [backup-simplify]: Simplify k into k
24.359 * [taylor]: Taking taylor expansion of (log n) in n
24.359 * [taylor]: Taking taylor expansion of n in n
24.359 * [backup-simplify]: Simplify 0 into 0
24.359 * [backup-simplify]: Simplify 1 into 1
24.359 * [backup-simplify]: Simplify (log 1) into 0
24.359 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.360 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.360 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.360 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
24.360 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
24.360 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
24.360 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
24.360 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
24.360 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.360 * [taylor]: Taking taylor expansion of 1/2 in n
24.360 * [backup-simplify]: Simplify 1/2 into 1/2
24.360 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.360 * [taylor]: Taking taylor expansion of 1/2 in n
24.360 * [backup-simplify]: Simplify 1/2 into 1/2
24.360 * [taylor]: Taking taylor expansion of k in n
24.360 * [backup-simplify]: Simplify k into k
24.360 * [taylor]: Taking taylor expansion of (log n) in n
24.361 * [taylor]: Taking taylor expansion of n in n
24.361 * [backup-simplify]: Simplify 0 into 0
24.361 * [backup-simplify]: Simplify 1 into 1
24.361 * [backup-simplify]: Simplify (log 1) into 0
24.361 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.361 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.361 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.361 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.362 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
24.362 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
24.362 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.362 * [taylor]: Taking taylor expansion of 1/2 in k
24.362 * [backup-simplify]: Simplify 1/2 into 1/2
24.362 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.362 * [taylor]: Taking taylor expansion of 1/2 in k
24.362 * [backup-simplify]: Simplify 1/2 into 1/2
24.362 * [taylor]: Taking taylor expansion of k in k
24.362 * [backup-simplify]: Simplify 0 into 0
24.362 * [backup-simplify]: Simplify 1 into 1
24.362 * [taylor]: Taking taylor expansion of (log n) in k
24.362 * [taylor]: Taking taylor expansion of n in k
24.362 * [backup-simplify]: Simplify n into n
24.362 * [backup-simplify]: Simplify (log n) into (log n)
24.363 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.363 * [backup-simplify]: Simplify (- 0) into 0
24.363 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.364 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.364 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.364 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2)
24.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
24.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
24.366 * [backup-simplify]: Simplify (- 0) into 0
24.366 * [backup-simplify]: Simplify (+ 0 0) into 0
24.366 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.367 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
24.367 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
24.367 * [taylor]: Taking taylor expansion of 0 in k
24.367 * [backup-simplify]: Simplify 0 into 0
24.368 * [backup-simplify]: Simplify 0 into 0
24.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
24.369 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.369 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.370 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
24.370 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
24.371 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
24.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
24.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
24.374 * [backup-simplify]: Simplify (- 0) into 0
24.375 * [backup-simplify]: Simplify (+ 0 0) into 0
24.375 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.376 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
24.377 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.377 * [taylor]: Taking taylor expansion of 0 in k
24.377 * [backup-simplify]: Simplify 0 into 0
24.377 * [backup-simplify]: Simplify 0 into 0
24.377 * [backup-simplify]: Simplify 0 into 0
24.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
24.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.380 * [backup-simplify]: Simplify (- 0) into 0
24.380 * [backup-simplify]: Simplify (+ 0 0) into 0
24.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
24.382 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
24.382 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
24.383 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
24.383 * [backup-simplify]: Simplify (pow (/ 1 n) (- 1/2 (* (/ 1 k) 1/2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
24.383 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
24.383 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
24.383 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
24.383 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
24.383 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.383 * [taylor]: Taking taylor expansion of 1/2 in k
24.383 * [backup-simplify]: Simplify 1/2 into 1/2
24.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.383 * [taylor]: Taking taylor expansion of 1/2 in k
24.383 * [backup-simplify]: Simplify 1/2 into 1/2
24.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.383 * [taylor]: Taking taylor expansion of k in k
24.383 * [backup-simplify]: Simplify 0 into 0
24.383 * [backup-simplify]: Simplify 1 into 1
24.384 * [backup-simplify]: Simplify (/ 1 1) into 1
24.384 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
24.384 * [taylor]: Taking taylor expansion of (/ 1 n) in k
24.384 * [taylor]: Taking taylor expansion of n in k
24.384 * [backup-simplify]: Simplify n into n
24.384 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
24.384 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
24.384 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.385 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.385 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.385 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
24.385 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
24.385 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
24.386 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
24.386 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
24.386 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
24.386 * [taylor]: Taking taylor expansion of 1/2 in n
24.386 * [backup-simplify]: Simplify 1/2 into 1/2
24.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.386 * [taylor]: Taking taylor expansion of 1/2 in n
24.386 * [backup-simplify]: Simplify 1/2 into 1/2
24.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.386 * [taylor]: Taking taylor expansion of k in n
24.386 * [backup-simplify]: Simplify k into k
24.386 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.386 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
24.386 * [taylor]: Taking taylor expansion of (/ 1 n) in n
24.386 * [taylor]: Taking taylor expansion of n in n
24.386 * [backup-simplify]: Simplify 0 into 0
24.386 * [backup-simplify]: Simplify 1 into 1
24.386 * [backup-simplify]: Simplify (/ 1 1) into 1
24.387 * [backup-simplify]: Simplify (log 1) into 0
24.387 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.387 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
24.387 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
24.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.387 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
24.388 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.388 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
24.388 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
24.388 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
24.388 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
24.388 * [taylor]: Taking taylor expansion of 1/2 in n
24.388 * [backup-simplify]: Simplify 1/2 into 1/2
24.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.388 * [taylor]: Taking taylor expansion of 1/2 in n
24.388 * [backup-simplify]: Simplify 1/2 into 1/2
24.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.388 * [taylor]: Taking taylor expansion of k in n
24.388 * [backup-simplify]: Simplify k into k
24.388 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.388 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
24.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n
24.388 * [taylor]: Taking taylor expansion of n in n
24.388 * [backup-simplify]: Simplify 0 into 0
24.388 * [backup-simplify]: Simplify 1 into 1
24.389 * [backup-simplify]: Simplify (/ 1 1) into 1
24.389 * [backup-simplify]: Simplify (log 1) into 0
24.389 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.389 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
24.389 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
24.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.390 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
24.390 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.390 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
24.390 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
24.390 * [taylor]: Taking taylor expansion of -1 in k
24.390 * [backup-simplify]: Simplify -1 into -1
24.390 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
24.390 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.390 * [taylor]: Taking taylor expansion of 1/2 in k
24.390 * [backup-simplify]: Simplify 1/2 into 1/2
24.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.390 * [taylor]: Taking taylor expansion of 1/2 in k
24.390 * [backup-simplify]: Simplify 1/2 into 1/2
24.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.390 * [taylor]: Taking taylor expansion of k in k
24.390 * [backup-simplify]: Simplify 0 into 0
24.390 * [backup-simplify]: Simplify 1 into 1
24.391 * [backup-simplify]: Simplify (/ 1 1) into 1
24.391 * [taylor]: Taking taylor expansion of (log n) in k
24.391 * [taylor]: Taking taylor expansion of n in k
24.391 * [backup-simplify]: Simplify n into n
24.391 * [backup-simplify]: Simplify (log n) into (log n)
24.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.392 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.392 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.392 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
24.392 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
24.392 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.392 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
24.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
24.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
24.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
24.395 * [backup-simplify]: Simplify (- 0) into 0
24.396 * [backup-simplify]: Simplify (+ 0 0) into 0
24.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.396 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
24.397 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
24.397 * [taylor]: Taking taylor expansion of 0 in k
24.397 * [backup-simplify]: Simplify 0 into 0
24.397 * [backup-simplify]: Simplify 0 into 0
24.397 * [backup-simplify]: Simplify 0 into 0
24.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
24.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
24.402 * [backup-simplify]: Simplify (- 0) into 0
24.402 * [backup-simplify]: Simplify (+ 0 0) into 0
24.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.403 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
24.405 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.405 * [taylor]: Taking taylor expansion of 0 in k
24.405 * [backup-simplify]: Simplify 0 into 0
24.405 * [backup-simplify]: Simplify 0 into 0
24.405 * [backup-simplify]: Simplify 0 into 0
24.405 * [backup-simplify]: Simplify 0 into 0
24.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.410 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
24.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
24.412 * [backup-simplify]: Simplify (- 0) into 0
24.413 * [backup-simplify]: Simplify (+ 0 0) into 0
24.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.414 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
24.415 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
24.416 * [taylor]: Taking taylor expansion of 0 in k
24.416 * [backup-simplify]: Simplify 0 into 0
24.416 * [backup-simplify]: Simplify 0 into 0
24.416 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
24.416 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (- 1/2 (* (/ 1 (- k)) 1/2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
24.416 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
24.416 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
24.416 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
24.416 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
24.416 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.416 * [taylor]: Taking taylor expansion of 1/2 in k
24.416 * [backup-simplify]: Simplify 1/2 into 1/2
24.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.416 * [taylor]: Taking taylor expansion of k in k
24.416 * [backup-simplify]: Simplify 0 into 0
24.416 * [backup-simplify]: Simplify 1 into 1
24.417 * [backup-simplify]: Simplify (/ 1 1) into 1
24.417 * [taylor]: Taking taylor expansion of 1/2 in k
24.417 * [backup-simplify]: Simplify 1/2 into 1/2
24.417 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
24.417 * [taylor]: Taking taylor expansion of (/ -1 n) in k
24.417 * [taylor]: Taking taylor expansion of -1 in k
24.417 * [backup-simplify]: Simplify -1 into -1
24.417 * [taylor]: Taking taylor expansion of n in k
24.417 * [backup-simplify]: Simplify n into n
24.417 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
24.417 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
24.417 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.418 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.418 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
24.418 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
24.418 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
24.418 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
24.418 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
24.418 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
24.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.418 * [taylor]: Taking taylor expansion of 1/2 in n
24.418 * [backup-simplify]: Simplify 1/2 into 1/2
24.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.418 * [taylor]: Taking taylor expansion of k in n
24.418 * [backup-simplify]: Simplify k into k
24.418 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.418 * [taylor]: Taking taylor expansion of 1/2 in n
24.418 * [backup-simplify]: Simplify 1/2 into 1/2
24.418 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
24.418 * [taylor]: Taking taylor expansion of (/ -1 n) in n
24.419 * [taylor]: Taking taylor expansion of -1 in n
24.419 * [backup-simplify]: Simplify -1 into -1
24.419 * [taylor]: Taking taylor expansion of n in n
24.419 * [backup-simplify]: Simplify 0 into 0
24.419 * [backup-simplify]: Simplify 1 into 1
24.419 * [backup-simplify]: Simplify (/ -1 1) into -1
24.419 * [backup-simplify]: Simplify (log -1) into (log -1)
24.419 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.419 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
24.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.421 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
24.421 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.421 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
24.421 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
24.421 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
24.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
24.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.421 * [taylor]: Taking taylor expansion of 1/2 in n
24.421 * [backup-simplify]: Simplify 1/2 into 1/2
24.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.421 * [taylor]: Taking taylor expansion of k in n
24.421 * [backup-simplify]: Simplify k into k
24.421 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.422 * [taylor]: Taking taylor expansion of 1/2 in n
24.422 * [backup-simplify]: Simplify 1/2 into 1/2
24.422 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
24.422 * [taylor]: Taking taylor expansion of (/ -1 n) in n
24.422 * [taylor]: Taking taylor expansion of -1 in n
24.422 * [backup-simplify]: Simplify -1 into -1
24.422 * [taylor]: Taking taylor expansion of n in n
24.422 * [backup-simplify]: Simplify 0 into 0
24.422 * [backup-simplify]: Simplify 1 into 1
24.423 * [backup-simplify]: Simplify (/ -1 1) into -1
24.429 * [backup-simplify]: Simplify (log -1) into (log -1)
24.429 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.429 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
24.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.431 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
24.431 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.432 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
24.432 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
24.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.432 * [taylor]: Taking taylor expansion of 1/2 in k
24.432 * [backup-simplify]: Simplify 1/2 into 1/2
24.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.432 * [taylor]: Taking taylor expansion of k in k
24.432 * [backup-simplify]: Simplify 0 into 0
24.432 * [backup-simplify]: Simplify 1 into 1
24.432 * [backup-simplify]: Simplify (/ 1 1) into 1
24.432 * [taylor]: Taking taylor expansion of 1/2 in k
24.432 * [backup-simplify]: Simplify 1/2 into 1/2
24.432 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
24.432 * [taylor]: Taking taylor expansion of (log -1) in k
24.432 * [taylor]: Taking taylor expansion of -1 in k
24.432 * [backup-simplify]: Simplify -1 into -1
24.433 * [backup-simplify]: Simplify (log -1) into (log -1)
24.433 * [taylor]: Taking taylor expansion of (log n) in k
24.433 * [taylor]: Taking taylor expansion of n in k
24.433 * [backup-simplify]: Simplify n into n
24.433 * [backup-simplify]: Simplify (log n) into (log n)
24.433 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.434 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.434 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
24.434 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
24.434 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
24.435 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.435 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
24.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
24.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
24.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
24.439 * [backup-simplify]: Simplify (+ 0 0) into 0
24.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.440 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
24.441 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
24.441 * [taylor]: Taking taylor expansion of 0 in k
24.441 * [backup-simplify]: Simplify 0 into 0
24.441 * [backup-simplify]: Simplify 0 into 0
24.441 * [backup-simplify]: Simplify 0 into 0
24.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
24.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
24.446 * [backup-simplify]: Simplify (+ 0 0) into 0
24.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.448 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
24.449 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.449 * [taylor]: Taking taylor expansion of 0 in k
24.449 * [backup-simplify]: Simplify 0 into 0
24.450 * [backup-simplify]: Simplify 0 into 0
24.450 * [backup-simplify]: Simplify 0 into 0
24.450 * [backup-simplify]: Simplify 0 into 0
24.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.456 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
24.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
24.458 * [backup-simplify]: Simplify (+ 0 0) into 0
24.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.460 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
24.461 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
24.461 * [taylor]: Taking taylor expansion of 0 in k
24.462 * [backup-simplify]: Simplify 0 into 0
24.462 * [backup-simplify]: Simplify 0 into 0
24.462 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
24.462 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
24.462 * [backup-simplify]: Simplify (pow PI (- 1/2 (* k 1/2))) into (pow PI (- 1/2 (* 1/2 k)))
24.462 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
24.462 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
24.462 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
24.463 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
24.463 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.463 * [taylor]: Taking taylor expansion of 1/2 in k
24.463 * [backup-simplify]: Simplify 1/2 into 1/2
24.463 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.463 * [taylor]: Taking taylor expansion of 1/2 in k
24.463 * [backup-simplify]: Simplify 1/2 into 1/2
24.463 * [taylor]: Taking taylor expansion of k in k
24.463 * [backup-simplify]: Simplify 0 into 0
24.463 * [backup-simplify]: Simplify 1 into 1
24.463 * [taylor]: Taking taylor expansion of (log PI) in k
24.463 * [taylor]: Taking taylor expansion of PI in k
24.463 * [backup-simplify]: Simplify PI into PI
24.463 * [backup-simplify]: Simplify (log PI) into (log PI)
24.464 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.464 * [backup-simplify]: Simplify (- 0) into 0
24.465 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.466 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.467 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
24.467 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
24.467 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
24.467 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
24.467 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.467 * [taylor]: Taking taylor expansion of 1/2 in k
24.467 * [backup-simplify]: Simplify 1/2 into 1/2
24.467 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.467 * [taylor]: Taking taylor expansion of 1/2 in k
24.467 * [backup-simplify]: Simplify 1/2 into 1/2
24.467 * [taylor]: Taking taylor expansion of k in k
24.467 * [backup-simplify]: Simplify 0 into 0
24.467 * [backup-simplify]: Simplify 1 into 1
24.467 * [taylor]: Taking taylor expansion of (log PI) in k
24.467 * [taylor]: Taking taylor expansion of PI in k
24.467 * [backup-simplify]: Simplify PI into PI
24.468 * [backup-simplify]: Simplify (log PI) into (log PI)
24.468 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.469 * [backup-simplify]: Simplify (- 0) into 0
24.469 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.470 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.471 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
24.472 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
24.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
24.474 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.474 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.475 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
24.486 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
24.488 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
24.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
24.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.492 * [backup-simplify]: Simplify (- 0) into 0
24.492 * [backup-simplify]: Simplify (+ 0 0) into 0
24.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
24.505 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
24.508 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
24.514 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
24.515 * [backup-simplify]: Simplify (pow PI (- 1/2 (* (/ 1 k) 1/2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
24.515 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
24.515 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
24.515 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
24.515 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
24.515 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.515 * [taylor]: Taking taylor expansion of 1/2 in k
24.515 * [backup-simplify]: Simplify 1/2 into 1/2
24.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.515 * [taylor]: Taking taylor expansion of 1/2 in k
24.515 * [backup-simplify]: Simplify 1/2 into 1/2
24.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.515 * [taylor]: Taking taylor expansion of k in k
24.515 * [backup-simplify]: Simplify 0 into 0
24.515 * [backup-simplify]: Simplify 1 into 1
24.515 * [backup-simplify]: Simplify (/ 1 1) into 1
24.515 * [taylor]: Taking taylor expansion of (log PI) in k
24.515 * [taylor]: Taking taylor expansion of PI in k
24.515 * [backup-simplify]: Simplify PI into PI
24.516 * [backup-simplify]: Simplify (log PI) into (log PI)
24.516 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.517 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.517 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.518 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
24.518 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
24.519 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
24.519 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
24.519 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
24.519 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.519 * [taylor]: Taking taylor expansion of 1/2 in k
24.519 * [backup-simplify]: Simplify 1/2 into 1/2
24.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.519 * [taylor]: Taking taylor expansion of 1/2 in k
24.519 * [backup-simplify]: Simplify 1/2 into 1/2
24.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.519 * [taylor]: Taking taylor expansion of k in k
24.519 * [backup-simplify]: Simplify 0 into 0
24.519 * [backup-simplify]: Simplify 1 into 1
24.519 * [backup-simplify]: Simplify (/ 1 1) into 1
24.519 * [taylor]: Taking taylor expansion of (log PI) in k
24.519 * [taylor]: Taking taylor expansion of PI in k
24.519 * [backup-simplify]: Simplify PI into PI
24.520 * [backup-simplify]: Simplify (log PI) into (log PI)
24.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.520 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.521 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.522 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
24.522 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
24.522 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
24.523 * [backup-simplify]: Simplify (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
24.523 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
24.523 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
24.523 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
24.523 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
24.523 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.523 * [taylor]: Taking taylor expansion of 1/2 in k
24.523 * [backup-simplify]: Simplify 1/2 into 1/2
24.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.523 * [taylor]: Taking taylor expansion of k in k
24.523 * [backup-simplify]: Simplify 0 into 0
24.523 * [backup-simplify]: Simplify 1 into 1
24.524 * [backup-simplify]: Simplify (/ 1 1) into 1
24.524 * [taylor]: Taking taylor expansion of 1/2 in k
24.524 * [backup-simplify]: Simplify 1/2 into 1/2
24.524 * [taylor]: Taking taylor expansion of (log PI) in k
24.524 * [taylor]: Taking taylor expansion of PI in k
24.524 * [backup-simplify]: Simplify PI into PI
24.524 * [backup-simplify]: Simplify (log PI) into (log PI)
24.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.525 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.526 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.526 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
24.527 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
24.527 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
24.527 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
24.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.527 * [taylor]: Taking taylor expansion of 1/2 in k
24.527 * [backup-simplify]: Simplify 1/2 into 1/2
24.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.527 * [taylor]: Taking taylor expansion of k in k
24.527 * [backup-simplify]: Simplify 0 into 0
24.527 * [backup-simplify]: Simplify 1 into 1
24.527 * [backup-simplify]: Simplify (/ 1 1) into 1
24.527 * [taylor]: Taking taylor expansion of 1/2 in k
24.527 * [backup-simplify]: Simplify 1/2 into 1/2
24.527 * [taylor]: Taking taylor expansion of (log PI) in k
24.527 * [taylor]: Taking taylor expansion of PI in k
24.527 * [backup-simplify]: Simplify PI into PI
24.528 * [backup-simplify]: Simplify (log PI) into (log PI)
24.528 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.528 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.529 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.530 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
24.530 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify 0 into 0
24.530 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
24.530 * * * * [progress]: [ 3 / 4 ] generating series at (2)
24.531 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k)))
24.531 * [approximate]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in (k n) around 0
24.531 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n
24.531 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n
24.531 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
24.531 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
24.531 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
24.531 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.531 * [taylor]: Taking taylor expansion of 1/2 in n
24.531 * [backup-simplify]: Simplify 1/2 into 1/2
24.531 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.531 * [taylor]: Taking taylor expansion of 1/2 in n
24.531 * [backup-simplify]: Simplify 1/2 into 1/2
24.531 * [taylor]: Taking taylor expansion of k in n
24.531 * [backup-simplify]: Simplify k into k
24.531 * [taylor]: Taking taylor expansion of (log n) in n
24.531 * [taylor]: Taking taylor expansion of n in n
24.531 * [backup-simplify]: Simplify 0 into 0
24.531 * [backup-simplify]: Simplify 1 into 1
24.532 * [backup-simplify]: Simplify (log 1) into 0
24.532 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.532 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.532 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.532 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.532 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
24.532 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
24.532 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
24.533 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n
24.533 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n
24.533 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n
24.533 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.533 * [taylor]: Taking taylor expansion of 1/2 in n
24.533 * [backup-simplify]: Simplify 1/2 into 1/2
24.533 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.533 * [taylor]: Taking taylor expansion of 1/2 in n
24.533 * [backup-simplify]: Simplify 1/2 into 1/2
24.533 * [taylor]: Taking taylor expansion of k in n
24.533 * [backup-simplify]: Simplify k into k
24.533 * [taylor]: Taking taylor expansion of (log 2) in n
24.533 * [taylor]: Taking taylor expansion of 2 in n
24.533 * [backup-simplify]: Simplify 2 into 2
24.533 * [backup-simplify]: Simplify (log 2) into (log 2)
24.533 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.533 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.533 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.534 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k)))
24.534 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k))))
24.534 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
24.534 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
24.534 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
24.534 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.534 * [taylor]: Taking taylor expansion of 1/2 in n
24.534 * [backup-simplify]: Simplify 1/2 into 1/2
24.534 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.534 * [taylor]: Taking taylor expansion of 1/2 in n
24.534 * [backup-simplify]: Simplify 1/2 into 1/2
24.535 * [taylor]: Taking taylor expansion of k in n
24.535 * [backup-simplify]: Simplify k into k
24.535 * [taylor]: Taking taylor expansion of (log PI) in n
24.535 * [taylor]: Taking taylor expansion of PI in n
24.535 * [backup-simplify]: Simplify PI into PI
24.535 * [backup-simplify]: Simplify (log PI) into (log PI)
24.535 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.535 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.535 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.536 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
24.536 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
24.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
24.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.536 * [taylor]: Taking taylor expansion of k in n
24.536 * [backup-simplify]: Simplify k into k
24.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.536 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
24.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
24.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
24.537 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k
24.537 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k
24.537 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.537 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.537 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.537 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.537 * [taylor]: Taking taylor expansion of 1/2 in k
24.537 * [backup-simplify]: Simplify 1/2 into 1/2
24.537 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.537 * [taylor]: Taking taylor expansion of 1/2 in k
24.537 * [backup-simplify]: Simplify 1/2 into 1/2
24.537 * [taylor]: Taking taylor expansion of k in k
24.537 * [backup-simplify]: Simplify 0 into 0
24.537 * [backup-simplify]: Simplify 1 into 1
24.537 * [taylor]: Taking taylor expansion of (log n) in k
24.537 * [taylor]: Taking taylor expansion of n in k
24.537 * [backup-simplify]: Simplify n into n
24.537 * [backup-simplify]: Simplify (log n) into (log n)
24.537 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.538 * [backup-simplify]: Simplify (- 0) into 0
24.538 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.538 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.538 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.538 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
24.538 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k
24.538 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k
24.538 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k
24.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.538 * [taylor]: Taking taylor expansion of 1/2 in k
24.538 * [backup-simplify]: Simplify 1/2 into 1/2
24.538 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.538 * [taylor]: Taking taylor expansion of 1/2 in k
24.538 * [backup-simplify]: Simplify 1/2 into 1/2
24.538 * [taylor]: Taking taylor expansion of k in k
24.539 * [backup-simplify]: Simplify 0 into 0
24.539 * [backup-simplify]: Simplify 1 into 1
24.539 * [taylor]: Taking taylor expansion of (log 2) in k
24.539 * [taylor]: Taking taylor expansion of 2 in k
24.539 * [backup-simplify]: Simplify 2 into 2
24.539 * [backup-simplify]: Simplify (log 2) into (log 2)
24.539 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.540 * [backup-simplify]: Simplify (- 0) into 0
24.540 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.541 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
24.542 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
24.542 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
24.542 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
24.542 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
24.542 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.542 * [taylor]: Taking taylor expansion of 1/2 in k
24.542 * [backup-simplify]: Simplify 1/2 into 1/2
24.542 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.542 * [taylor]: Taking taylor expansion of 1/2 in k
24.542 * [backup-simplify]: Simplify 1/2 into 1/2
24.542 * [taylor]: Taking taylor expansion of k in k
24.542 * [backup-simplify]: Simplify 0 into 0
24.542 * [backup-simplify]: Simplify 1 into 1
24.543 * [taylor]: Taking taylor expansion of (log PI) in k
24.543 * [taylor]: Taking taylor expansion of PI in k
24.543 * [backup-simplify]: Simplify PI into PI
24.543 * [backup-simplify]: Simplify (log PI) into (log PI)
24.543 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.544 * [backup-simplify]: Simplify (- 0) into 0
24.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.545 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.547 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
24.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
24.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.547 * [taylor]: Taking taylor expansion of k in k
24.547 * [backup-simplify]: Simplify 0 into 0
24.547 * [backup-simplify]: Simplify 1 into 1
24.547 * [backup-simplify]: Simplify (/ 1 1) into 1
24.548 * [backup-simplify]: Simplify (sqrt 0) into 0
24.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
24.549 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k
24.549 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k
24.549 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.549 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.550 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.550 * [taylor]: Taking taylor expansion of 1/2 in k
24.550 * [backup-simplify]: Simplify 1/2 into 1/2
24.550 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.550 * [taylor]: Taking taylor expansion of 1/2 in k
24.550 * [backup-simplify]: Simplify 1/2 into 1/2
24.550 * [taylor]: Taking taylor expansion of k in k
24.550 * [backup-simplify]: Simplify 0 into 0
24.550 * [backup-simplify]: Simplify 1 into 1
24.550 * [taylor]: Taking taylor expansion of (log n) in k
24.550 * [taylor]: Taking taylor expansion of n in k
24.550 * [backup-simplify]: Simplify n into n
24.550 * [backup-simplify]: Simplify (log n) into (log n)
24.550 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.551 * [backup-simplify]: Simplify (- 0) into 0
24.551 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.551 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.551 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.551 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
24.551 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k
24.551 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k
24.551 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k
24.551 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.551 * [taylor]: Taking taylor expansion of 1/2 in k
24.551 * [backup-simplify]: Simplify 1/2 into 1/2
24.551 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.551 * [taylor]: Taking taylor expansion of 1/2 in k
24.552 * [backup-simplify]: Simplify 1/2 into 1/2
24.552 * [taylor]: Taking taylor expansion of k in k
24.552 * [backup-simplify]: Simplify 0 into 0
24.552 * [backup-simplify]: Simplify 1 into 1
24.552 * [taylor]: Taking taylor expansion of (log 2) in k
24.552 * [taylor]: Taking taylor expansion of 2 in k
24.552 * [backup-simplify]: Simplify 2 into 2
24.552 * [backup-simplify]: Simplify (log 2) into (log 2)
24.552 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.553 * [backup-simplify]: Simplify (- 0) into 0
24.553 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.554 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
24.555 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
24.555 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
24.555 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
24.555 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
24.555 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.555 * [taylor]: Taking taylor expansion of 1/2 in k
24.555 * [backup-simplify]: Simplify 1/2 into 1/2
24.555 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.555 * [taylor]: Taking taylor expansion of 1/2 in k
24.555 * [backup-simplify]: Simplify 1/2 into 1/2
24.555 * [taylor]: Taking taylor expansion of k in k
24.555 * [backup-simplify]: Simplify 0 into 0
24.556 * [backup-simplify]: Simplify 1 into 1
24.556 * [taylor]: Taking taylor expansion of (log PI) in k
24.556 * [taylor]: Taking taylor expansion of PI in k
24.556 * [backup-simplify]: Simplify PI into PI
24.556 * [backup-simplify]: Simplify (log PI) into (log PI)
24.556 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.557 * [backup-simplify]: Simplify (- 0) into 0
24.557 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.558 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
24.560 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
24.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
24.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.560 * [taylor]: Taking taylor expansion of k in k
24.560 * [backup-simplify]: Simplify 0 into 0
24.560 * [backup-simplify]: Simplify 1 into 1
24.560 * [backup-simplify]: Simplify (/ 1 1) into 1
24.561 * [backup-simplify]: Simplify (sqrt 0) into 0
24.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
24.572 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2))
24.574 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI)))
24.574 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0
24.574 * [taylor]: Taking taylor expansion of 0 in n
24.574 * [backup-simplify]: Simplify 0 into 0
24.574 * [backup-simplify]: Simplify 0 into 0
24.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
24.577 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.577 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.577 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
24.589 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
24.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
24.591 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.591 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.592 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2)))
24.602 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2)))
24.613 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))
24.614 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
24.614 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.615 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.615 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
24.616 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
24.629 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))
24.633 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
24.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
24.633 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
24.633 * [taylor]: Taking taylor expansion of +nan.0 in n
24.633 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.633 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
24.633 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.633 * [taylor]: Taking taylor expansion of 2 in n
24.633 * [backup-simplify]: Simplify 2 into 2
24.633 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.634 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.634 * [taylor]: Taking taylor expansion of (* n PI) in n
24.634 * [taylor]: Taking taylor expansion of n in n
24.634 * [backup-simplify]: Simplify 0 into 0
24.634 * [backup-simplify]: Simplify 1 into 1
24.634 * [taylor]: Taking taylor expansion of PI in n
24.634 * [backup-simplify]: Simplify PI into PI
24.635 * [backup-simplify]: Simplify (* 0 PI) into 0
24.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.637 * [backup-simplify]: Simplify (sqrt 0) into 0
24.638 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.639 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
24.639 * [backup-simplify]: Simplify (* +nan.0 0) into 0
24.640 * [backup-simplify]: Simplify (- 0) into 0
24.640 * [backup-simplify]: Simplify 0 into 0
24.640 * [backup-simplify]: Simplify 0 into 0
24.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
24.643 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
24.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
24.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.648 * [backup-simplify]: Simplify (- 0) into 0
24.648 * [backup-simplify]: Simplify (+ 0 0) into 0
24.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
24.660 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
24.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
24.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.663 * [backup-simplify]: Simplify (- 0) into 0
24.663 * [backup-simplify]: Simplify (+ 0 0) into 0
24.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0
24.670 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2)))
24.684 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))
24.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
24.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.686 * [backup-simplify]: Simplify (- 0) into 0
24.686 * [backup-simplify]: Simplify (+ 0 0) into 0
24.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
24.688 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
24.738 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))))))
24.748 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))))
24.748 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n
24.748 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n
24.748 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n
24.748 * [taylor]: Taking taylor expansion of +nan.0 in n
24.748 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.748 * [taylor]: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n
24.748 * [taylor]: Taking taylor expansion of (* (log 2) (sqrt 2)) in n
24.748 * [taylor]: Taking taylor expansion of (log 2) in n
24.748 * [taylor]: Taking taylor expansion of 2 in n
24.748 * [backup-simplify]: Simplify 2 into 2
24.748 * [backup-simplify]: Simplify (log 2) into (log 2)
24.748 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.748 * [taylor]: Taking taylor expansion of 2 in n
24.748 * [backup-simplify]: Simplify 2 into 2
24.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.749 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.749 * [taylor]: Taking taylor expansion of (* n PI) in n
24.749 * [taylor]: Taking taylor expansion of n in n
24.749 * [backup-simplify]: Simplify 0 into 0
24.749 * [backup-simplify]: Simplify 1 into 1
24.749 * [taylor]: Taking taylor expansion of PI in n
24.749 * [backup-simplify]: Simplify PI into PI
24.750 * [backup-simplify]: Simplify (* 0 PI) into 0
24.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.751 * [backup-simplify]: Simplify (sqrt 0) into 0
24.752 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.752 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n
24.752 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n
24.752 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
24.752 * [taylor]: Taking taylor expansion of +nan.0 in n
24.752 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.752 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
24.752 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n
24.752 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.752 * [taylor]: Taking taylor expansion of 2 in n
24.752 * [backup-simplify]: Simplify 2 into 2
24.753 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.753 * [taylor]: Taking taylor expansion of (log PI) in n
24.753 * [taylor]: Taking taylor expansion of PI in n
24.753 * [backup-simplify]: Simplify PI into PI
24.753 * [backup-simplify]: Simplify (log PI) into (log PI)
24.753 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n
24.753 * [taylor]: Taking taylor expansion of (* PI n) in n
24.754 * [taylor]: Taking taylor expansion of PI in n
24.754 * [backup-simplify]: Simplify PI into PI
24.754 * [taylor]: Taking taylor expansion of n in n
24.754 * [backup-simplify]: Simplify 0 into 0
24.754 * [backup-simplify]: Simplify 1 into 1
24.754 * [backup-simplify]: Simplify (* PI 0) into 0
24.755 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
24.755 * [backup-simplify]: Simplify (sqrt 0) into 0
24.756 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.756 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n
24.756 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n
24.756 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
24.756 * [taylor]: Taking taylor expansion of +nan.0 in n
24.756 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.756 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
24.756 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.756 * [taylor]: Taking taylor expansion of 2 in n
24.756 * [backup-simplify]: Simplify 2 into 2
24.756 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.757 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.757 * [taylor]: Taking taylor expansion of (* n PI) in n
24.757 * [taylor]: Taking taylor expansion of n in n
24.757 * [backup-simplify]: Simplify 0 into 0
24.757 * [backup-simplify]: Simplify 1 into 1
24.757 * [taylor]: Taking taylor expansion of PI in n
24.757 * [backup-simplify]: Simplify PI into PI
24.757 * [backup-simplify]: Simplify (* 0 PI) into 0
24.758 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.758 * [backup-simplify]: Simplify (sqrt 0) into 0
24.759 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n
24.759 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n
24.759 * [taylor]: Taking taylor expansion of +nan.0 in n
24.759 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.759 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n
24.759 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n
24.759 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.759 * [taylor]: Taking taylor expansion of 2 in n
24.759 * [backup-simplify]: Simplify 2 into 2
24.760 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.760 * [taylor]: Taking taylor expansion of (log n) in n
24.760 * [taylor]: Taking taylor expansion of n in n
24.760 * [backup-simplify]: Simplify 0 into 0
24.760 * [backup-simplify]: Simplify 1 into 1
24.760 * [backup-simplify]: Simplify (log 1) into 0
24.760 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.760 * [taylor]: Taking taylor expansion of (* n PI) in n
24.760 * [taylor]: Taking taylor expansion of n in n
24.760 * [backup-simplify]: Simplify 0 into 0
24.760 * [backup-simplify]: Simplify 1 into 1
24.760 * [taylor]: Taking taylor expansion of PI in n
24.760 * [backup-simplify]: Simplify PI into PI
24.761 * [backup-simplify]: Simplify (* 0 PI) into 0
24.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.762 * [backup-simplify]: Simplify (sqrt 0) into 0
24.763 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.764 * [backup-simplify]: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2))
24.764 * [backup-simplify]: Simplify (* (* (log 2) (sqrt 2)) 0) into 0
24.764 * [backup-simplify]: Simplify (* +nan.0 0) into 0
24.765 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
24.767 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0
24.767 * [backup-simplify]: Simplify (* +nan.0 0) into 0
24.767 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
24.768 * [backup-simplify]: Simplify (* +nan.0 0) into 0
24.768 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.768 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n))
24.768 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0
24.769 * [backup-simplify]: Simplify (* +nan.0 0) into 0
24.769 * [backup-simplify]: Simplify (- 0) into 0
24.769 * [backup-simplify]: Simplify (+ 0 0) into 0
24.769 * [backup-simplify]: Simplify (- 0) into 0
24.770 * [backup-simplify]: Simplify (+ 0 0) into 0
24.770 * [backup-simplify]: Simplify (- 0) into 0
24.770 * [backup-simplify]: Simplify (+ 0 0) into 0
24.770 * [backup-simplify]: Simplify (- 0) into 0
24.771 * [backup-simplify]: Simplify 0 into 0
24.772 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
24.775 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
24.778 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
24.779 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
24.779 * [backup-simplify]: Simplify 0 into 0
24.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
24.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
24.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
24.786 * [backup-simplify]: Simplify (- 0) into 0
24.786 * [backup-simplify]: Simplify (+ 0 0) into 0
24.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
24.796 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
24.799 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
24.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
24.800 * [backup-simplify]: Simplify (- 0) into 0
24.800 * [backup-simplify]: Simplify (+ 0 0) into 0
24.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0
24.815 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2)))
24.855 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))
24.858 * [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
24.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
24.860 * [backup-simplify]: Simplify (- 0) into 0
24.860 * [backup-simplify]: Simplify (+ 0 0) into 0
24.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0
24.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
24.937 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n))))))))))))))
24.966 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))))
24.966 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n
24.966 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n
24.966 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n
24.966 * [taylor]: Taking taylor expansion of +nan.0 in n
24.966 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.966 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n
24.966 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n
24.966 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.966 * [taylor]: Taking taylor expansion of 2 in n
24.966 * [backup-simplify]: Simplify 2 into 2
24.966 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.967 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n
24.967 * [taylor]: Taking taylor expansion of (log n) in n
24.967 * [taylor]: Taking taylor expansion of n in n
24.967 * [backup-simplify]: Simplify 0 into 0
24.967 * [backup-simplify]: Simplify 1 into 1
24.967 * [backup-simplify]: Simplify (log 1) into 0
24.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.968 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.968 * [taylor]: Taking taylor expansion of (* n PI) in n
24.968 * [taylor]: Taking taylor expansion of n in n
24.968 * [backup-simplify]: Simplify 0 into 0
24.968 * [backup-simplify]: Simplify 1 into 1
24.968 * [taylor]: Taking taylor expansion of PI in n
24.968 * [backup-simplify]: Simplify PI into PI
24.968 * [backup-simplify]: Simplify (* 0 PI) into 0
24.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.969 * [backup-simplify]: Simplify (sqrt 0) into 0
24.970 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.970 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n
24.970 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n
24.970 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n
24.970 * [taylor]: Taking taylor expansion of +nan.0 in n
24.970 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.970 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n
24.970 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n
24.970 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.970 * [taylor]: Taking taylor expansion of 2 in n
24.970 * [backup-simplify]: Simplify 2 into 2
24.971 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.971 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n
24.971 * [taylor]: Taking taylor expansion of (log PI) in n
24.971 * [taylor]: Taking taylor expansion of PI in n
24.971 * [backup-simplify]: Simplify PI into PI
24.972 * [backup-simplify]: Simplify (log PI) into (log PI)
24.972 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n
24.972 * [taylor]: Taking taylor expansion of (* PI n) in n
24.972 * [taylor]: Taking taylor expansion of PI in n
24.972 * [backup-simplify]: Simplify PI into PI
24.972 * [taylor]: Taking taylor expansion of n in n
24.972 * [backup-simplify]: Simplify 0 into 0
24.972 * [backup-simplify]: Simplify 1 into 1
24.972 * [backup-simplify]: Simplify (* PI 0) into 0
24.973 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
24.973 * [backup-simplify]: Simplify (sqrt 0) into 0
24.974 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.974 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n
24.974 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n
24.974 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n
24.974 * [taylor]: Taking taylor expansion of +nan.0 in n
24.974 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.974 * [taylor]: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n
24.974 * [taylor]: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n
24.974 * [taylor]: Taking taylor expansion of (pow (log 2) 2) in n
24.974 * [taylor]: Taking taylor expansion of (log 2) in n
24.974 * [taylor]: Taking taylor expansion of 2 in n
24.974 * [backup-simplify]: Simplify 2 into 2
24.975 * [backup-simplify]: Simplify (log 2) into (log 2)
24.975 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.975 * [taylor]: Taking taylor expansion of 2 in n
24.975 * [backup-simplify]: Simplify 2 into 2
24.975 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.975 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.975 * [taylor]: Taking taylor expansion of (* n PI) in n
24.975 * [taylor]: Taking taylor expansion of n in n
24.975 * [backup-simplify]: Simplify 0 into 0
24.975 * [backup-simplify]: Simplify 1 into 1
24.975 * [taylor]: Taking taylor expansion of PI in n
24.975 * [backup-simplify]: Simplify PI into PI
24.976 * [backup-simplify]: Simplify (* 0 PI) into 0
24.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.977 * [backup-simplify]: Simplify (sqrt 0) into 0
24.978 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.978 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n
24.978 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n
24.978 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
24.978 * [taylor]: Taking taylor expansion of +nan.0 in n
24.978 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.978 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
24.978 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.978 * [taylor]: Taking taylor expansion of 2 in n
24.978 * [backup-simplify]: Simplify 2 into 2
24.978 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.979 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.979 * [taylor]: Taking taylor expansion of (* n PI) in n
24.979 * [taylor]: Taking taylor expansion of n in n
24.979 * [backup-simplify]: Simplify 0 into 0
24.979 * [backup-simplify]: Simplify 1 into 1
24.979 * [taylor]: Taking taylor expansion of PI in n
24.979 * [backup-simplify]: Simplify PI into PI
24.979 * [backup-simplify]: Simplify (* 0 PI) into 0
24.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.980 * [backup-simplify]: Simplify (sqrt 0) into 0
24.981 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.981 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n
24.981 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n
24.981 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n
24.981 * [taylor]: Taking taylor expansion of +nan.0 in n
24.981 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.981 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n
24.981 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n
24.981 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.981 * [taylor]: Taking taylor expansion of 2 in n
24.981 * [backup-simplify]: Simplify 2 into 2
24.981 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.982 * [taylor]: Taking taylor expansion of (log n) in n
24.982 * [taylor]: Taking taylor expansion of n in n
24.982 * [backup-simplify]: Simplify 0 into 0
24.982 * [backup-simplify]: Simplify 1 into 1
24.982 * [backup-simplify]: Simplify (log 1) into 0
24.982 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.982 * [taylor]: Taking taylor expansion of (* n PI) in n
24.982 * [taylor]: Taking taylor expansion of n in n
24.982 * [backup-simplify]: Simplify 0 into 0
24.982 * [backup-simplify]: Simplify 1 into 1
24.982 * [taylor]: Taking taylor expansion of PI in n
24.982 * [backup-simplify]: Simplify PI into PI
24.983 * [backup-simplify]: Simplify (* 0 PI) into 0
24.983 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.984 * [backup-simplify]: Simplify (sqrt 0) into 0
24.985 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.985 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n
24.985 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n
24.985 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n
24.985 * [taylor]: Taking taylor expansion of +nan.0 in n
24.985 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.985 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n
24.985 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n
24.985 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.985 * [taylor]: Taking taylor expansion of 2 in n
24.985 * [backup-simplify]: Simplify 2 into 2
24.985 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.985 * [taylor]: Taking taylor expansion of (log PI) in n
24.985 * [taylor]: Taking taylor expansion of PI in n
24.985 * [backup-simplify]: Simplify PI into PI
24.986 * [backup-simplify]: Simplify (log PI) into (log PI)
24.986 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n
24.986 * [taylor]: Taking taylor expansion of (* PI n) in n
24.986 * [taylor]: Taking taylor expansion of PI in n
24.986 * [backup-simplify]: Simplify PI into PI
24.986 * [taylor]: Taking taylor expansion of n in n
24.986 * [backup-simplify]: Simplify 0 into 0
24.986 * [backup-simplify]: Simplify 1 into 1
24.986 * [backup-simplify]: Simplify (* PI 0) into 0
24.987 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
24.987 * [backup-simplify]: Simplify (sqrt 0) into 0
24.988 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.988 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n
24.988 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n
24.988 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n
24.988 * [taylor]: Taking taylor expansion of +nan.0 in n
24.988 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.988 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n
24.988 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n
24.988 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.988 * [taylor]: Taking taylor expansion of 2 in n
24.988 * [backup-simplify]: Simplify 2 into 2
24.989 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.989 * [taylor]: Taking taylor expansion of (* (log PI) (log n)) in n
24.989 * [taylor]: Taking taylor expansion of (log PI) in n
24.989 * [taylor]: Taking taylor expansion of PI in n
24.989 * [backup-simplify]: Simplify PI into PI
24.989 * [backup-simplify]: Simplify (log PI) into (log PI)
24.989 * [taylor]: Taking taylor expansion of (log n) in n
24.989 * [taylor]: Taking taylor expansion of n in n
24.989 * [backup-simplify]: Simplify 0 into 0
24.989 * [backup-simplify]: Simplify 1 into 1
24.990 * [backup-simplify]: Simplify (log 1) into 0
24.990 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n
24.990 * [taylor]: Taking taylor expansion of (* PI n) in n
24.990 * [taylor]: Taking taylor expansion of PI in n
24.990 * [backup-simplify]: Simplify PI into PI
24.990 * [taylor]: Taking taylor expansion of n in n
24.990 * [backup-simplify]: Simplify 0 into 0
24.990 * [backup-simplify]: Simplify 1 into 1
24.990 * [backup-simplify]: Simplify (* PI 0) into 0
24.991 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
24.991 * [backup-simplify]: Simplify (sqrt 0) into 0
24.992 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.992 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n
24.992 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n
24.992 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n
24.992 * [taylor]: Taking taylor expansion of +nan.0 in n
24.992 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.992 * [taylor]: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n
24.992 * [taylor]: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n
24.992 * [taylor]: Taking taylor expansion of (log 2) in n
24.992 * [taylor]: Taking taylor expansion of 2 in n
24.992 * [backup-simplify]: Simplify 2 into 2
24.992 * [backup-simplify]: Simplify (log 2) into (log 2)
24.993 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n
24.993 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.993 * [taylor]: Taking taylor expansion of 2 in n
24.993 * [backup-simplify]: Simplify 2 into 2
24.993 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.993 * [taylor]: Taking taylor expansion of (log n) in n
24.993 * [taylor]: Taking taylor expansion of n in n
24.993 * [backup-simplify]: Simplify 0 into 0
24.993 * [backup-simplify]: Simplify 1 into 1
24.994 * [backup-simplify]: Simplify (log 1) into 0
24.994 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
24.994 * [taylor]: Taking taylor expansion of (* n PI) in n
24.994 * [taylor]: Taking taylor expansion of n in n
24.994 * [backup-simplify]: Simplify 0 into 0
24.994 * [backup-simplify]: Simplify 1 into 1
24.994 * [taylor]: Taking taylor expansion of PI in n
24.994 * [backup-simplify]: Simplify PI into PI
24.994 * [backup-simplify]: Simplify (* 0 PI) into 0
24.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
24.995 * [backup-simplify]: Simplify (sqrt 0) into 0
24.996 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
24.996 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n
24.996 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n
24.996 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n
24.996 * [taylor]: Taking taylor expansion of +nan.0 in n
24.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
24.996 * [taylor]: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n
24.996 * [taylor]: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n
24.996 * [taylor]: Taking taylor expansion of (log 2) in n
24.996 * [taylor]: Taking taylor expansion of 2 in n
24.996 * [backup-simplify]: Simplify 2 into 2
24.996 * [backup-simplify]: Simplify (log 2) into (log 2)
24.996 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n
24.996 * [taylor]: Taking taylor expansion of (sqrt 2) in n
24.996 * [taylor]: Taking taylor expansion of 2 in n
24.996 * [backup-simplify]: Simplify 2 into 2
24.997 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
24.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
24.997 * [taylor]: Taking taylor expansion of (log PI) in n
24.997 * [taylor]: Taking taylor expansion of PI in n
24.997 * [backup-simplify]: Simplify PI into PI
24.997 * [backup-simplify]: Simplify (log PI) into (log PI)
24.997 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n
24.997 * [taylor]: Taking taylor expansion of (* PI n) in n
24.997 * [taylor]: Taking taylor expansion of PI in n
24.998 * [backup-simplify]: Simplify PI into PI
24.998 * [taylor]: Taking taylor expansion of n in n
24.998 * [backup-simplify]: Simplify 0 into 0
24.998 * [backup-simplify]: Simplify 1 into 1
24.998 * [backup-simplify]: Simplify (* PI 0) into 0
24.999 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
25.000 * [backup-simplify]: Simplify (sqrt 0) into 0
25.001 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
25.001 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n
25.001 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n
25.001 * [taylor]: Taking taylor expansion of +nan.0 in n
25.001 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.001 * [taylor]: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n
25.001 * [taylor]: Taking taylor expansion of (* (log 2) (sqrt 2)) in n
25.001 * [taylor]: Taking taylor expansion of (log 2) in n
25.001 * [taylor]: Taking taylor expansion of 2 in n
25.001 * [backup-simplify]: Simplify 2 into 2
25.002 * [backup-simplify]: Simplify (log 2) into (log 2)
25.002 * [taylor]: Taking taylor expansion of (sqrt 2) in n
25.002 * [taylor]: Taking taylor expansion of 2 in n
25.002 * [backup-simplify]: Simplify 2 into 2
25.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
25.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
25.003 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
25.003 * [taylor]: Taking taylor expansion of (* n PI) in n
25.003 * [taylor]: Taking taylor expansion of n in n
25.003 * [backup-simplify]: Simplify 0 into 0
25.003 * [backup-simplify]: Simplify 1 into 1
25.003 * [taylor]: Taking taylor expansion of PI in n
25.003 * [backup-simplify]: Simplify PI into PI
25.003 * [backup-simplify]: Simplify (* 0 PI) into 0
25.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
25.004 * [backup-simplify]: Simplify (sqrt 0) into 0
25.005 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
25.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.006 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2)
25.006 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2))
25.006 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0
25.007 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.007 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2)
25.009 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2))
25.009 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0
25.010 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.010 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
25.012 * [backup-simplify]: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2))
25.012 * [backup-simplify]: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0
25.012 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.013 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
25.013 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.013 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.013 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n))
25.014 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0
25.014 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.015 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
25.015 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0
25.016 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.016 * [backup-simplify]: Simplify (* (log PI) (log n)) into (* (log PI) (log n))
25.017 * [backup-simplify]: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n)))
25.023 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0
25.023 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.024 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n))
25.024 * [backup-simplify]: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n)))
25.025 * [backup-simplify]: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0
25.025 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.026 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI))
25.028 * [backup-simplify]: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI)))
25.029 * [backup-simplify]: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0
25.029 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.030 * [backup-simplify]: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2))
25.030 * [backup-simplify]: Simplify (* (* (log 2) (sqrt 2)) 0) into 0
25.030 * [backup-simplify]: Simplify (* +nan.0 0) into 0
25.031 * [backup-simplify]: Simplify (- 0) into 0
25.031 * [backup-simplify]: Simplify (+ 0 0) into 0
25.031 * [backup-simplify]: Simplify (- 0) into 0
25.031 * [backup-simplify]: Simplify (+ 0 0) into 0
25.032 * [backup-simplify]: Simplify (- 0) into 0
25.032 * [backup-simplify]: Simplify (+ 0 0) into 0
25.032 * [backup-simplify]: Simplify (- 0) into 0
25.032 * [backup-simplify]: Simplify (+ 0 0) into 0
25.032 * [backup-simplify]: Simplify (- 0) into 0
25.033 * [backup-simplify]: Simplify (+ 0 0) into 0
25.033 * [backup-simplify]: Simplify (- 0) into 0
25.033 * [backup-simplify]: Simplify (+ 0 0) into 0
25.033 * [backup-simplify]: Simplify (- 0) into 0
25.034 * [backup-simplify]: Simplify (+ 0 0) into 0
25.034 * [backup-simplify]: Simplify (- 0) into 0
25.034 * [backup-simplify]: Simplify (+ 0 0) into 0
25.034 * [backup-simplify]: Simplify (- 0) into 0
25.035 * [backup-simplify]: Simplify (+ 0 0) into 0
25.035 * [backup-simplify]: Simplify (- 0) into 0
25.035 * [backup-simplify]: Simplify 0 into 0
25.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
25.036 * [backup-simplify]: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0
25.040 * [backup-simplify]: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))
25.045 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))
25.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.046 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0
25.049 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
25.054 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))
25.056 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
25.059 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
25.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.060 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.061 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0
25.061 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))
25.062 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))
25.062 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))
25.064 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))
25.066 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))
25.071 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))
25.077 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))
25.086 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
25.097 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
25.120 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))
25.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
25.124 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
25.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
25.128 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
25.133 * [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))))
25.136 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
25.138 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
25.155 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))))
25.155 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* (/ 1 k) 1/2))) (* (pow (/ 1 n) (- 1/2 (* (/ 1 k) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 k) 1/2))) (sqrt (/ 1 k))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k))
25.155 * [approximate]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in (k n) around 0
25.155 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n
25.155 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
25.155 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n
25.155 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n
25.155 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n
25.155 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.155 * [taylor]: Taking taylor expansion of 1/2 in n
25.155 * [backup-simplify]: Simplify 1/2 into 1/2
25.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.155 * [taylor]: Taking taylor expansion of 1/2 in n
25.155 * [backup-simplify]: Simplify 1/2 into 1/2
25.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.155 * [taylor]: Taking taylor expansion of k in n
25.155 * [backup-simplify]: Simplify k into k
25.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.155 * [taylor]: Taking taylor expansion of (log 2) in n
25.155 * [taylor]: Taking taylor expansion of 2 in n
25.155 * [backup-simplify]: Simplify 2 into 2
25.156 * [backup-simplify]: Simplify (log 2) into (log 2)
25.156 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.156 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.156 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.156 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
25.157 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.157 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.157 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.157 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.157 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.157 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.157 * [taylor]: Taking taylor expansion of 1/2 in n
25.157 * [backup-simplify]: Simplify 1/2 into 1/2
25.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.157 * [taylor]: Taking taylor expansion of 1/2 in n
25.157 * [backup-simplify]: Simplify 1/2 into 1/2
25.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.157 * [taylor]: Taking taylor expansion of k in n
25.157 * [backup-simplify]: Simplify k into k
25.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.157 * [taylor]: Taking taylor expansion of (log PI) in n
25.157 * [taylor]: Taking taylor expansion of PI in n
25.157 * [backup-simplify]: Simplify PI into PI
25.157 * [backup-simplify]: Simplify (log PI) into (log PI)
25.157 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.157 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.157 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.158 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.158 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.158 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.158 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.158 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.158 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.158 * [taylor]: Taking taylor expansion of 1/2 in n
25.158 * [backup-simplify]: Simplify 1/2 into 1/2
25.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.158 * [taylor]: Taking taylor expansion of 1/2 in n
25.158 * [backup-simplify]: Simplify 1/2 into 1/2
25.158 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.158 * [taylor]: Taking taylor expansion of k in n
25.158 * [backup-simplify]: Simplify k into k
25.158 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.158 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.158 * [taylor]: Taking taylor expansion of n in n
25.158 * [backup-simplify]: Simplify 0 into 0
25.158 * [backup-simplify]: Simplify 1 into 1
25.159 * [backup-simplify]: Simplify (/ 1 1) into 1
25.159 * [backup-simplify]: Simplify (log 1) into 0
25.159 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.159 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.159 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.160 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.160 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.160 * [taylor]: Taking taylor expansion of (sqrt k) in n
25.160 * [taylor]: Taking taylor expansion of k in n
25.160 * [backup-simplify]: Simplify k into k
25.160 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
25.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
25.160 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k
25.160 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k
25.160 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k
25.160 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k
25.160 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k
25.160 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.160 * [taylor]: Taking taylor expansion of 1/2 in k
25.160 * [backup-simplify]: Simplify 1/2 into 1/2
25.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.160 * [taylor]: Taking taylor expansion of 1/2 in k
25.160 * [backup-simplify]: Simplify 1/2 into 1/2
25.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.160 * [taylor]: Taking taylor expansion of k in k
25.160 * [backup-simplify]: Simplify 0 into 0
25.160 * [backup-simplify]: Simplify 1 into 1
25.160 * [backup-simplify]: Simplify (/ 1 1) into 1
25.160 * [taylor]: Taking taylor expansion of (log 2) in k
25.160 * [taylor]: Taking taylor expansion of 2 in k
25.160 * [backup-simplify]: Simplify 2 into 2
25.161 * [backup-simplify]: Simplify (log 2) into (log 2)
25.161 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.161 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.162 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.162 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
25.162 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.163 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
25.163 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
25.163 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
25.163 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
25.163 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.163 * [taylor]: Taking taylor expansion of 1/2 in k
25.163 * [backup-simplify]: Simplify 1/2 into 1/2
25.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.163 * [taylor]: Taking taylor expansion of 1/2 in k
25.163 * [backup-simplify]: Simplify 1/2 into 1/2
25.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.163 * [taylor]: Taking taylor expansion of k in k
25.163 * [backup-simplify]: Simplify 0 into 0
25.163 * [backup-simplify]: Simplify 1 into 1
25.163 * [backup-simplify]: Simplify (/ 1 1) into 1
25.163 * [taylor]: Taking taylor expansion of (log PI) in k
25.163 * [taylor]: Taking taylor expansion of PI in k
25.163 * [backup-simplify]: Simplify PI into PI
25.163 * [backup-simplify]: Simplify (log PI) into (log PI)
25.164 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.164 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.164 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.165 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
25.165 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.165 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.165 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
25.165 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
25.165 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.165 * [taylor]: Taking taylor expansion of 1/2 in k
25.165 * [backup-simplify]: Simplify 1/2 into 1/2
25.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.165 * [taylor]: Taking taylor expansion of 1/2 in k
25.165 * [backup-simplify]: Simplify 1/2 into 1/2
25.165 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.165 * [taylor]: Taking taylor expansion of k in k
25.165 * [backup-simplify]: Simplify 0 into 0
25.165 * [backup-simplify]: Simplify 1 into 1
25.166 * [backup-simplify]: Simplify (/ 1 1) into 1
25.166 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
25.166 * [taylor]: Taking taylor expansion of (/ 1 n) in k
25.166 * [taylor]: Taking taylor expansion of n in k
25.166 * [backup-simplify]: Simplify n into n
25.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
25.166 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
25.166 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.166 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.167 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.167 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
25.167 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
25.167 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.167 * [taylor]: Taking taylor expansion of k in k
25.167 * [backup-simplify]: Simplify 0 into 0
25.167 * [backup-simplify]: Simplify 1 into 1
25.167 * [backup-simplify]: Simplify (sqrt 0) into 0
25.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.168 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k
25.168 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k
25.168 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k
25.168 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k
25.168 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k
25.168 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.168 * [taylor]: Taking taylor expansion of 1/2 in k
25.168 * [backup-simplify]: Simplify 1/2 into 1/2
25.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.168 * [taylor]: Taking taylor expansion of 1/2 in k
25.168 * [backup-simplify]: Simplify 1/2 into 1/2
25.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.168 * [taylor]: Taking taylor expansion of k in k
25.168 * [backup-simplify]: Simplify 0 into 0
25.168 * [backup-simplify]: Simplify 1 into 1
25.169 * [backup-simplify]: Simplify (/ 1 1) into 1
25.169 * [taylor]: Taking taylor expansion of (log 2) in k
25.169 * [taylor]: Taking taylor expansion of 2 in k
25.169 * [backup-simplify]: Simplify 2 into 2
25.169 * [backup-simplify]: Simplify (log 2) into (log 2)
25.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.169 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.170 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.170 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
25.171 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.171 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
25.171 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
25.171 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
25.171 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
25.171 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.171 * [taylor]: Taking taylor expansion of 1/2 in k
25.171 * [backup-simplify]: Simplify 1/2 into 1/2
25.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.171 * [taylor]: Taking taylor expansion of 1/2 in k
25.171 * [backup-simplify]: Simplify 1/2 into 1/2
25.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.171 * [taylor]: Taking taylor expansion of k in k
25.171 * [backup-simplify]: Simplify 0 into 0
25.171 * [backup-simplify]: Simplify 1 into 1
25.171 * [backup-simplify]: Simplify (/ 1 1) into 1
25.171 * [taylor]: Taking taylor expansion of (log PI) in k
25.171 * [taylor]: Taking taylor expansion of PI in k
25.171 * [backup-simplify]: Simplify PI into PI
25.171 * [backup-simplify]: Simplify (log PI) into (log PI)
25.172 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.172 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.172 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.173 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
25.173 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.173 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.173 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
25.173 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
25.173 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.173 * [taylor]: Taking taylor expansion of 1/2 in k
25.173 * [backup-simplify]: Simplify 1/2 into 1/2
25.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.173 * [taylor]: Taking taylor expansion of 1/2 in k
25.174 * [backup-simplify]: Simplify 1/2 into 1/2
25.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.174 * [taylor]: Taking taylor expansion of k in k
25.174 * [backup-simplify]: Simplify 0 into 0
25.174 * [backup-simplify]: Simplify 1 into 1
25.174 * [backup-simplify]: Simplify (/ 1 1) into 1
25.174 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
25.174 * [taylor]: Taking taylor expansion of (/ 1 n) in k
25.174 * [taylor]: Taking taylor expansion of n in k
25.174 * [backup-simplify]: Simplify n into n
25.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
25.174 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
25.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.175 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.175 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.175 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
25.175 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
25.175 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.175 * [taylor]: Taking taylor expansion of k in k
25.175 * [backup-simplify]: Simplify 0 into 0
25.175 * [backup-simplify]: Simplify 1 into 1
25.175 * [backup-simplify]: Simplify (sqrt 0) into 0
25.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.177 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))
25.177 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))
25.178 * [backup-simplify]: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0
25.178 * [taylor]: Taking taylor expansion of 0 in n
25.178 * [backup-simplify]: Simplify 0 into 0
25.178 * [backup-simplify]: Simplify 0 into 0
25.178 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
25.178 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
25.179 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))
25.179 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n
25.179 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
25.179 * [taylor]: Taking taylor expansion of +nan.0 in n
25.179 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.179 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
25.179 * [taylor]: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.179 * [taylor]: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.179 * [taylor]: Taking taylor expansion of (log 2) in n
25.179 * [taylor]: Taking taylor expansion of 2 in n
25.179 * [backup-simplify]: Simplify 2 into 2
25.180 * [backup-simplify]: Simplify (log 2) into (log 2)
25.180 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.180 * [taylor]: Taking taylor expansion of 1/2 in n
25.180 * [backup-simplify]: Simplify 1/2 into 1/2
25.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.180 * [taylor]: Taking taylor expansion of 1/2 in n
25.180 * [backup-simplify]: Simplify 1/2 into 1/2
25.180 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.180 * [taylor]: Taking taylor expansion of k in n
25.180 * [backup-simplify]: Simplify k into k
25.180 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.180 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.180 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.180 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.180 * [backup-simplify]: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
25.181 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.181 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.181 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.181 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.181 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.181 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.181 * [taylor]: Taking taylor expansion of 1/2 in n
25.181 * [backup-simplify]: Simplify 1/2 into 1/2
25.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.181 * [taylor]: Taking taylor expansion of 1/2 in n
25.181 * [backup-simplify]: Simplify 1/2 into 1/2
25.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.181 * [taylor]: Taking taylor expansion of k in n
25.181 * [backup-simplify]: Simplify k into k
25.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.181 * [taylor]: Taking taylor expansion of (log PI) in n
25.181 * [taylor]: Taking taylor expansion of PI in n
25.181 * [backup-simplify]: Simplify PI into PI
25.181 * [backup-simplify]: Simplify (log PI) into (log PI)
25.181 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.182 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.182 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.182 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.183 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.183 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.183 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.183 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.183 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.183 * [taylor]: Taking taylor expansion of 1/2 in n
25.183 * [backup-simplify]: Simplify 1/2 into 1/2
25.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.183 * [taylor]: Taking taylor expansion of 1/2 in n
25.183 * [backup-simplify]: Simplify 1/2 into 1/2
25.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.183 * [taylor]: Taking taylor expansion of k in n
25.183 * [backup-simplify]: Simplify k into k
25.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.183 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.183 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.183 * [taylor]: Taking taylor expansion of n in n
25.183 * [backup-simplify]: Simplify 0 into 0
25.183 * [backup-simplify]: Simplify 1 into 1
25.183 * [backup-simplify]: Simplify (/ 1 1) into 1
25.184 * [backup-simplify]: Simplify (log 1) into 0
25.184 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.184 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.184 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.184 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.184 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.185 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
25.185 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
25.186 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.187 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.188 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.188 * [backup-simplify]: Simplify 0 into 0
25.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.191 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
25.191 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
25.193 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))
25.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n
25.193 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
25.193 * [taylor]: Taking taylor expansion of +nan.0 in n
25.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.193 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
25.193 * [taylor]: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.193 * [taylor]: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.193 * [taylor]: Taking taylor expansion of (log 2) in n
25.193 * [taylor]: Taking taylor expansion of 2 in n
25.193 * [backup-simplify]: Simplify 2 into 2
25.193 * [backup-simplify]: Simplify (log 2) into (log 2)
25.193 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.193 * [taylor]: Taking taylor expansion of 1/2 in n
25.193 * [backup-simplify]: Simplify 1/2 into 1/2
25.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.193 * [taylor]: Taking taylor expansion of 1/2 in n
25.193 * [backup-simplify]: Simplify 1/2 into 1/2
25.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.193 * [taylor]: Taking taylor expansion of k in n
25.193 * [backup-simplify]: Simplify k into k
25.193 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.193 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.193 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.193 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.194 * [backup-simplify]: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
25.194 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.194 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.194 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.194 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.194 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.194 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.194 * [taylor]: Taking taylor expansion of 1/2 in n
25.194 * [backup-simplify]: Simplify 1/2 into 1/2
25.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.194 * [taylor]: Taking taylor expansion of 1/2 in n
25.194 * [backup-simplify]: Simplify 1/2 into 1/2
25.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.194 * [taylor]: Taking taylor expansion of k in n
25.194 * [backup-simplify]: Simplify k into k
25.194 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.194 * [taylor]: Taking taylor expansion of (log PI) in n
25.195 * [taylor]: Taking taylor expansion of PI in n
25.195 * [backup-simplify]: Simplify PI into PI
25.195 * [backup-simplify]: Simplify (log PI) into (log PI)
25.195 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.195 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.195 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.195 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.196 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.196 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.196 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.196 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.196 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.196 * [taylor]: Taking taylor expansion of 1/2 in n
25.196 * [backup-simplify]: Simplify 1/2 into 1/2
25.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.196 * [taylor]: Taking taylor expansion of 1/2 in n
25.196 * [backup-simplify]: Simplify 1/2 into 1/2
25.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.196 * [taylor]: Taking taylor expansion of k in n
25.196 * [backup-simplify]: Simplify k into k
25.196 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.197 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.197 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.197 * [taylor]: Taking taylor expansion of n in n
25.197 * [backup-simplify]: Simplify 0 into 0
25.197 * [backup-simplify]: Simplify 1 into 1
25.197 * [backup-simplify]: Simplify (/ 1 1) into 1
25.197 * [backup-simplify]: Simplify (log 1) into 0
25.197 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.197 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.198 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.198 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.198 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.198 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
25.199 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
25.200 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.200 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.201 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.203 * [backup-simplify]: Simplify (- 0) into 0
25.203 * [backup-simplify]: Simplify (+ 0 0) into 0
25.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.203 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
25.204 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.206 * [backup-simplify]: Simplify (- 0) into 0
25.206 * [backup-simplify]: Simplify (+ 0 0) into 0
25.206 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
25.207 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
25.207 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
25.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.208 * [backup-simplify]: Simplify (- 0) into 0
25.208 * [backup-simplify]: Simplify (+ 0 0) into 0
25.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
25.209 * [backup-simplify]: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0
25.210 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
25.211 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
25.212 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
25.212 * [backup-simplify]: Simplify (- 0) into 0
25.212 * [backup-simplify]: Simplify 0 into 0
25.212 * [backup-simplify]: Simplify 0 into 0
25.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.222 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
25.223 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0
25.224 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))
25.224 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n
25.224 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n
25.224 * [taylor]: Taking taylor expansion of +nan.0 in n
25.224 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.224 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
25.224 * [taylor]: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.224 * [taylor]: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.224 * [taylor]: Taking taylor expansion of (log 2) in n
25.224 * [taylor]: Taking taylor expansion of 2 in n
25.224 * [backup-simplify]: Simplify 2 into 2
25.225 * [backup-simplify]: Simplify (log 2) into (log 2)
25.225 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.225 * [taylor]: Taking taylor expansion of 1/2 in n
25.225 * [backup-simplify]: Simplify 1/2 into 1/2
25.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.225 * [taylor]: Taking taylor expansion of 1/2 in n
25.225 * [backup-simplify]: Simplify 1/2 into 1/2
25.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.225 * [taylor]: Taking taylor expansion of k in n
25.225 * [backup-simplify]: Simplify k into k
25.225 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.225 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.225 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.225 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.225 * [backup-simplify]: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
25.226 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
25.226 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.226 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.226 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.226 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.226 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.226 * [taylor]: Taking taylor expansion of 1/2 in n
25.226 * [backup-simplify]: Simplify 1/2 into 1/2
25.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.226 * [taylor]: Taking taylor expansion of 1/2 in n
25.226 * [backup-simplify]: Simplify 1/2 into 1/2
25.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.226 * [taylor]: Taking taylor expansion of k in n
25.226 * [backup-simplify]: Simplify k into k
25.226 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.226 * [taylor]: Taking taylor expansion of (log PI) in n
25.226 * [taylor]: Taking taylor expansion of PI in n
25.226 * [backup-simplify]: Simplify PI into PI
25.226 * [backup-simplify]: Simplify (log PI) into (log PI)
25.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.226 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.226 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.227 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.227 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.227 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.227 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.227 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.227 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.227 * [taylor]: Taking taylor expansion of 1/2 in n
25.227 * [backup-simplify]: Simplify 1/2 into 1/2
25.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.227 * [taylor]: Taking taylor expansion of 1/2 in n
25.227 * [backup-simplify]: Simplify 1/2 into 1/2
25.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.227 * [taylor]: Taking taylor expansion of k in n
25.227 * [backup-simplify]: Simplify k into k
25.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.227 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.227 * [taylor]: Taking taylor expansion of n in n
25.227 * [backup-simplify]: Simplify 0 into 0
25.227 * [backup-simplify]: Simplify 1 into 1
25.228 * [backup-simplify]: Simplify (/ 1 1) into 1
25.228 * [backup-simplify]: Simplify (log 1) into 0
25.228 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.228 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.228 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.228 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.228 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.229 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
25.229 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
25.230 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.230 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.231 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
25.233 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))))))))
25.233 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* (/ 1 (- k)) 1/2))) (* (pow (/ 1 (- n)) (- 1/2 (* (/ 1 (- k)) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k)))
25.233 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0
25.233 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n
25.233 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
25.233 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.233 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.233 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.234 * [taylor]: Taking taylor expansion of 1/2 in n
25.234 * [backup-simplify]: Simplify 1/2 into 1/2
25.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.234 * [taylor]: Taking taylor expansion of k in n
25.234 * [backup-simplify]: Simplify k into k
25.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.234 * [taylor]: Taking taylor expansion of 1/2 in n
25.234 * [backup-simplify]: Simplify 1/2 into 1/2
25.234 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.234 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.234 * [taylor]: Taking taylor expansion of -1 in n
25.234 * [backup-simplify]: Simplify -1 into -1
25.234 * [taylor]: Taking taylor expansion of n in n
25.234 * [backup-simplify]: Simplify 0 into 0
25.234 * [backup-simplify]: Simplify 1 into 1
25.234 * [backup-simplify]: Simplify (/ -1 1) into -1
25.234 * [backup-simplify]: Simplify (log -1) into (log -1)
25.234 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.234 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.235 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.236 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.236 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.236 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.236 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n
25.236 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n
25.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.236 * [taylor]: Taking taylor expansion of 1/2 in n
25.236 * [backup-simplify]: Simplify 1/2 into 1/2
25.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.236 * [taylor]: Taking taylor expansion of k in n
25.236 * [backup-simplify]: Simplify k into k
25.236 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.236 * [taylor]: Taking taylor expansion of 1/2 in n
25.236 * [backup-simplify]: Simplify 1/2 into 1/2
25.236 * [taylor]: Taking taylor expansion of (log 2) in n
25.236 * [taylor]: Taking taylor expansion of 2 in n
25.236 * [backup-simplify]: Simplify 2 into 2
25.236 * [backup-simplify]: Simplify (log 2) into (log 2)
25.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.236 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.237 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
25.237 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.237 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.237 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.237 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.237 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.237 * [taylor]: Taking taylor expansion of 1/2 in n
25.237 * [backup-simplify]: Simplify 1/2 into 1/2
25.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.237 * [taylor]: Taking taylor expansion of k in n
25.237 * [backup-simplify]: Simplify k into k
25.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.237 * [taylor]: Taking taylor expansion of 1/2 in n
25.237 * [backup-simplify]: Simplify 1/2 into 1/2
25.237 * [taylor]: Taking taylor expansion of (log PI) in n
25.237 * [taylor]: Taking taylor expansion of PI in n
25.237 * [backup-simplify]: Simplify PI into PI
25.237 * [backup-simplify]: Simplify (log PI) into (log PI)
25.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.238 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.238 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.238 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
25.238 * [taylor]: Taking taylor expansion of (/ -1 k) in n
25.238 * [taylor]: Taking taylor expansion of -1 in n
25.238 * [backup-simplify]: Simplify -1 into -1
25.238 * [taylor]: Taking taylor expansion of k in n
25.238 * [backup-simplify]: Simplify k into k
25.238 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
25.238 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
25.238 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
25.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
25.239 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.240 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.240 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k)))
25.240 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k
25.240 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
25.241 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.241 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
25.241 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
25.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.241 * [taylor]: Taking taylor expansion of 1/2 in k
25.241 * [backup-simplify]: Simplify 1/2 into 1/2
25.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.241 * [taylor]: Taking taylor expansion of k in k
25.241 * [backup-simplify]: Simplify 0 into 0
25.241 * [backup-simplify]: Simplify 1 into 1
25.241 * [backup-simplify]: Simplify (/ 1 1) into 1
25.241 * [taylor]: Taking taylor expansion of 1/2 in k
25.241 * [backup-simplify]: Simplify 1/2 into 1/2
25.241 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
25.241 * [taylor]: Taking taylor expansion of (/ -1 n) in k
25.241 * [taylor]: Taking taylor expansion of -1 in k
25.241 * [backup-simplify]: Simplify -1 into -1
25.241 * [taylor]: Taking taylor expansion of n in k
25.241 * [backup-simplify]: Simplify n into n
25.241 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
25.241 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
25.241 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.242 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.242 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
25.242 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
25.242 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
25.242 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.242 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k
25.242 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k
25.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.242 * [taylor]: Taking taylor expansion of 1/2 in k
25.242 * [backup-simplify]: Simplify 1/2 into 1/2
25.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.242 * [taylor]: Taking taylor expansion of k in k
25.242 * [backup-simplify]: Simplify 0 into 0
25.242 * [backup-simplify]: Simplify 1 into 1
25.242 * [backup-simplify]: Simplify (/ 1 1) into 1
25.242 * [taylor]: Taking taylor expansion of 1/2 in k
25.242 * [backup-simplify]: Simplify 1/2 into 1/2
25.242 * [taylor]: Taking taylor expansion of (log 2) in k
25.242 * [taylor]: Taking taylor expansion of 2 in k
25.242 * [backup-simplify]: Simplify 2 into 2
25.243 * [backup-simplify]: Simplify (log 2) into (log 2)
25.243 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.243 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.244 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
25.244 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.244 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.244 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
25.244 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
25.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.244 * [taylor]: Taking taylor expansion of 1/2 in k
25.244 * [backup-simplify]: Simplify 1/2 into 1/2
25.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.244 * [taylor]: Taking taylor expansion of k in k
25.245 * [backup-simplify]: Simplify 0 into 0
25.245 * [backup-simplify]: Simplify 1 into 1
25.245 * [backup-simplify]: Simplify (/ 1 1) into 1
25.245 * [taylor]: Taking taylor expansion of 1/2 in k
25.245 * [backup-simplify]: Simplify 1/2 into 1/2
25.245 * [taylor]: Taking taylor expansion of (log PI) in k
25.245 * [taylor]: Taking taylor expansion of PI in k
25.245 * [backup-simplify]: Simplify PI into PI
25.245 * [backup-simplify]: Simplify (log PI) into (log PI)
25.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.246 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.246 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.247 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.247 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.247 * [taylor]: Taking taylor expansion of -1 in k
25.247 * [backup-simplify]: Simplify -1 into -1
25.247 * [taylor]: Taking taylor expansion of k in k
25.247 * [backup-simplify]: Simplify 0 into 0
25.247 * [backup-simplify]: Simplify 1 into 1
25.247 * [backup-simplify]: Simplify (/ -1 1) into -1
25.247 * [backup-simplify]: Simplify (sqrt 0) into 0
25.249 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.250 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.250 * [backup-simplify]: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.251 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.251 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k
25.251 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
25.251 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.251 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
25.251 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
25.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.251 * [taylor]: Taking taylor expansion of 1/2 in k
25.251 * [backup-simplify]: Simplify 1/2 into 1/2
25.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.251 * [taylor]: Taking taylor expansion of k in k
25.251 * [backup-simplify]: Simplify 0 into 0
25.251 * [backup-simplify]: Simplify 1 into 1
25.251 * [backup-simplify]: Simplify (/ 1 1) into 1
25.251 * [taylor]: Taking taylor expansion of 1/2 in k
25.251 * [backup-simplify]: Simplify 1/2 into 1/2
25.251 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
25.251 * [taylor]: Taking taylor expansion of (/ -1 n) in k
25.251 * [taylor]: Taking taylor expansion of -1 in k
25.251 * [backup-simplify]: Simplify -1 into -1
25.251 * [taylor]: Taking taylor expansion of n in k
25.251 * [backup-simplify]: Simplify n into n
25.251 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
25.251 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
25.252 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.252 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.252 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
25.252 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
25.252 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
25.252 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.252 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k
25.252 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k
25.252 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.252 * [taylor]: Taking taylor expansion of 1/2 in k
25.252 * [backup-simplify]: Simplify 1/2 into 1/2
25.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.252 * [taylor]: Taking taylor expansion of k in k
25.252 * [backup-simplify]: Simplify 0 into 0
25.252 * [backup-simplify]: Simplify 1 into 1
25.253 * [backup-simplify]: Simplify (/ 1 1) into 1
25.253 * [taylor]: Taking taylor expansion of 1/2 in k
25.253 * [backup-simplify]: Simplify 1/2 into 1/2
25.253 * [taylor]: Taking taylor expansion of (log 2) in k
25.253 * [taylor]: Taking taylor expansion of 2 in k
25.253 * [backup-simplify]: Simplify 2 into 2
25.253 * [backup-simplify]: Simplify (log 2) into (log 2)
25.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.253 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.254 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
25.255 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.255 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.255 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
25.255 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
25.255 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.255 * [taylor]: Taking taylor expansion of 1/2 in k
25.255 * [backup-simplify]: Simplify 1/2 into 1/2
25.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.255 * [taylor]: Taking taylor expansion of k in k
25.255 * [backup-simplify]: Simplify 0 into 0
25.255 * [backup-simplify]: Simplify 1 into 1
25.255 * [backup-simplify]: Simplify (/ 1 1) into 1
25.255 * [taylor]: Taking taylor expansion of 1/2 in k
25.255 * [backup-simplify]: Simplify 1/2 into 1/2
25.255 * [taylor]: Taking taylor expansion of (log PI) in k
25.255 * [taylor]: Taking taylor expansion of PI in k
25.255 * [backup-simplify]: Simplify PI into PI
25.256 * [backup-simplify]: Simplify (log PI) into (log PI)
25.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.257 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.258 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.258 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.259 * [taylor]: Taking taylor expansion of -1 in k
25.259 * [backup-simplify]: Simplify -1 into -1
25.259 * [taylor]: Taking taylor expansion of k in k
25.259 * [backup-simplify]: Simplify 0 into 0
25.259 * [backup-simplify]: Simplify 1 into 1
25.259 * [backup-simplify]: Simplify (/ -1 1) into -1
25.259 * [backup-simplify]: Simplify (sqrt 0) into 0
25.261 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.262 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.262 * [backup-simplify]: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.263 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.263 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
25.264 * [taylor]: Taking taylor expansion of +nan.0 in n
25.264 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.264 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
25.264 * [taylor]: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.264 * [taylor]: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.264 * [taylor]: Taking taylor expansion of (log 2) in n
25.264 * [taylor]: Taking taylor expansion of 2 in n
25.264 * [backup-simplify]: Simplify 2 into 2
25.264 * [backup-simplify]: Simplify (log 2) into (log 2)
25.264 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.264 * [taylor]: Taking taylor expansion of 1/2 in n
25.264 * [backup-simplify]: Simplify 1/2 into 1/2
25.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.264 * [taylor]: Taking taylor expansion of k in n
25.264 * [backup-simplify]: Simplify k into k
25.264 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.264 * [taylor]: Taking taylor expansion of 1/2 in n
25.264 * [backup-simplify]: Simplify 1/2 into 1/2
25.265 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.265 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.265 * [backup-simplify]: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
25.266 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.266 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.266 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.266 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.266 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.266 * [taylor]: Taking taylor expansion of 1/2 in n
25.266 * [backup-simplify]: Simplify 1/2 into 1/2
25.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.266 * [taylor]: Taking taylor expansion of k in n
25.266 * [backup-simplify]: Simplify k into k
25.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.266 * [taylor]: Taking taylor expansion of 1/2 in n
25.266 * [backup-simplify]: Simplify 1/2 into 1/2
25.266 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.266 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.266 * [taylor]: Taking taylor expansion of -1 in n
25.266 * [backup-simplify]: Simplify -1 into -1
25.266 * [taylor]: Taking taylor expansion of n in n
25.266 * [backup-simplify]: Simplify 0 into 0
25.266 * [backup-simplify]: Simplify 1 into 1
25.267 * [backup-simplify]: Simplify (/ -1 1) into -1
25.267 * [backup-simplify]: Simplify (log -1) into (log -1)
25.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.267 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.269 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.269 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.269 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.269 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.269 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.269 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.270 * [taylor]: Taking taylor expansion of 1/2 in n
25.270 * [backup-simplify]: Simplify 1/2 into 1/2
25.270 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.270 * [taylor]: Taking taylor expansion of k in n
25.270 * [backup-simplify]: Simplify k into k
25.270 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.270 * [taylor]: Taking taylor expansion of 1/2 in n
25.270 * [backup-simplify]: Simplify 1/2 into 1/2
25.270 * [taylor]: Taking taylor expansion of (log PI) in n
25.270 * [taylor]: Taking taylor expansion of PI in n
25.270 * [backup-simplify]: Simplify PI into PI
25.270 * [backup-simplify]: Simplify (log PI) into (log PI)
25.270 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.270 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.271 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.272 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.272 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.273 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.275 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.276 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.277 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
25.277 * [backup-simplify]: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
25.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.283 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
25.283 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
25.283 * [taylor]: Taking taylor expansion of +nan.0 in n
25.283 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.283 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
25.284 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.284 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.284 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.284 * [taylor]: Taking taylor expansion of 1/2 in n
25.284 * [backup-simplify]: Simplify 1/2 into 1/2
25.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.284 * [taylor]: Taking taylor expansion of k in n
25.284 * [backup-simplify]: Simplify k into k
25.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.284 * [taylor]: Taking taylor expansion of 1/2 in n
25.284 * [backup-simplify]: Simplify 1/2 into 1/2
25.284 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.284 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.284 * [taylor]: Taking taylor expansion of -1 in n
25.284 * [backup-simplify]: Simplify -1 into -1
25.284 * [taylor]: Taking taylor expansion of n in n
25.284 * [backup-simplify]: Simplify 0 into 0
25.284 * [backup-simplify]: Simplify 1 into 1
25.285 * [backup-simplify]: Simplify (/ -1 1) into -1
25.285 * [backup-simplify]: Simplify (log -1) into (log -1)
25.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.285 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.286 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.287 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.287 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.287 * [taylor]: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.287 * [taylor]: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.287 * [taylor]: Taking taylor expansion of (log 2) in n
25.287 * [taylor]: Taking taylor expansion of 2 in n
25.287 * [backup-simplify]: Simplify 2 into 2
25.288 * [backup-simplify]: Simplify (log 2) into (log 2)
25.288 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.288 * [taylor]: Taking taylor expansion of 1/2 in n
25.288 * [backup-simplify]: Simplify 1/2 into 1/2
25.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.288 * [taylor]: Taking taylor expansion of k in n
25.288 * [backup-simplify]: Simplify k into k
25.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.288 * [taylor]: Taking taylor expansion of 1/2 in n
25.288 * [backup-simplify]: Simplify 1/2 into 1/2
25.288 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.288 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.289 * [backup-simplify]: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
25.289 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.289 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.289 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.289 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.289 * [taylor]: Taking taylor expansion of 1/2 in n
25.289 * [backup-simplify]: Simplify 1/2 into 1/2
25.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.289 * [taylor]: Taking taylor expansion of k in n
25.289 * [backup-simplify]: Simplify k into k
25.290 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.290 * [taylor]: Taking taylor expansion of 1/2 in n
25.290 * [backup-simplify]: Simplify 1/2 into 1/2
25.290 * [taylor]: Taking taylor expansion of (log PI) in n
25.290 * [taylor]: Taking taylor expansion of PI in n
25.290 * [backup-simplify]: Simplify PI into PI
25.290 * [backup-simplify]: Simplify (log PI) into (log PI)
25.290 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.290 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.291 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.291 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.292 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.294 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.295 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.296 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.298 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.301 * [backup-simplify]: Simplify (+ 0 0) into 0
25.302 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
25.303 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
25.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
25.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.307 * [backup-simplify]: Simplify (+ 0 0) into 0
25.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.308 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
25.309 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.310 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
25.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.311 * [backup-simplify]: Simplify (+ 0 0) into 0
25.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
25.313 * [backup-simplify]: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
25.315 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0
25.316 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
25.318 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
25.318 * [backup-simplify]: Simplify 0 into 0
25.319 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
25.320 * [backup-simplify]: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
25.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.329 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))))
25.329 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) in n
25.329 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n
25.329 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
25.329 * [taylor]: Taking taylor expansion of +nan.0 in n
25.329 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.329 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
25.329 * [taylor]: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.329 * [taylor]: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.329 * [taylor]: Taking taylor expansion of (log 2) in n
25.329 * [taylor]: Taking taylor expansion of 2 in n
25.329 * [backup-simplify]: Simplify 2 into 2
25.329 * [backup-simplify]: Simplify (log 2) into (log 2)
25.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.330 * [taylor]: Taking taylor expansion of 1/2 in n
25.330 * [backup-simplify]: Simplify 1/2 into 1/2
25.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.330 * [taylor]: Taking taylor expansion of k in n
25.330 * [backup-simplify]: Simplify k into k
25.330 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.330 * [taylor]: Taking taylor expansion of 1/2 in n
25.330 * [backup-simplify]: Simplify 1/2 into 1/2
25.330 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.330 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.330 * [backup-simplify]: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
25.331 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.331 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.331 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.331 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.331 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.331 * [taylor]: Taking taylor expansion of 1/2 in n
25.331 * [backup-simplify]: Simplify 1/2 into 1/2
25.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.331 * [taylor]: Taking taylor expansion of k in n
25.331 * [backup-simplify]: Simplify k into k
25.331 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.331 * [taylor]: Taking taylor expansion of 1/2 in n
25.331 * [backup-simplify]: Simplify 1/2 into 1/2
25.331 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.331 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.331 * [taylor]: Taking taylor expansion of -1 in n
25.331 * [backup-simplify]: Simplify -1 into -1
25.331 * [taylor]: Taking taylor expansion of n in n
25.331 * [backup-simplify]: Simplify 0 into 0
25.331 * [backup-simplify]: Simplify 1 into 1
25.331 * [backup-simplify]: Simplify (/ -1 1) into -1
25.331 * [backup-simplify]: Simplify (log -1) into (log -1)
25.331 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.332 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.332 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.333 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.333 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.333 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.333 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.333 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.333 * [taylor]: Taking taylor expansion of 1/2 in n
25.333 * [backup-simplify]: Simplify 1/2 into 1/2
25.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.333 * [taylor]: Taking taylor expansion of k in n
25.333 * [backup-simplify]: Simplify k into k
25.333 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.333 * [taylor]: Taking taylor expansion of 1/2 in n
25.333 * [backup-simplify]: Simplify 1/2 into 1/2
25.333 * [taylor]: Taking taylor expansion of (log PI) in n
25.333 * [taylor]: Taking taylor expansion of PI in n
25.333 * [backup-simplify]: Simplify PI into PI
25.333 * [backup-simplify]: Simplify (log PI) into (log PI)
25.333 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.333 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.334 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.334 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.334 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
25.334 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n
25.334 * [taylor]: Taking taylor expansion of +nan.0 in n
25.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.334 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
25.334 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.334 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.334 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.334 * [taylor]: Taking taylor expansion of 1/2 in n
25.334 * [backup-simplify]: Simplify 1/2 into 1/2
25.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.334 * [taylor]: Taking taylor expansion of k in n
25.334 * [backup-simplify]: Simplify k into k
25.334 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.334 * [taylor]: Taking taylor expansion of 1/2 in n
25.334 * [backup-simplify]: Simplify 1/2 into 1/2
25.334 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.334 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.334 * [taylor]: Taking taylor expansion of -1 in n
25.334 * [backup-simplify]: Simplify -1 into -1
25.334 * [taylor]: Taking taylor expansion of n in n
25.334 * [backup-simplify]: Simplify 0 into 0
25.334 * [backup-simplify]: Simplify 1 into 1
25.335 * [backup-simplify]: Simplify (/ -1 1) into -1
25.335 * [backup-simplify]: Simplify (log -1) into (log -1)
25.335 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.335 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.336 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.336 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.336 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.336 * [taylor]: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.336 * [taylor]: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.336 * [taylor]: Taking taylor expansion of (log 2) in n
25.336 * [taylor]: Taking taylor expansion of 2 in n
25.336 * [backup-simplify]: Simplify 2 into 2
25.337 * [backup-simplify]: Simplify (log 2) into (log 2)
25.337 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.337 * [taylor]: Taking taylor expansion of 1/2 in n
25.337 * [backup-simplify]: Simplify 1/2 into 1/2
25.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.337 * [taylor]: Taking taylor expansion of k in n
25.337 * [backup-simplify]: Simplify k into k
25.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.337 * [taylor]: Taking taylor expansion of 1/2 in n
25.337 * [backup-simplify]: Simplify 1/2 into 1/2
25.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.337 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.337 * [backup-simplify]: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
25.338 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
25.338 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.338 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.338 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.338 * [taylor]: Taking taylor expansion of 1/2 in n
25.338 * [backup-simplify]: Simplify 1/2 into 1/2
25.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.338 * [taylor]: Taking taylor expansion of k in n
25.338 * [backup-simplify]: Simplify k into k
25.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.338 * [taylor]: Taking taylor expansion of 1/2 in n
25.338 * [backup-simplify]: Simplify 1/2 into 1/2
25.338 * [taylor]: Taking taylor expansion of (log PI) in n
25.338 * [taylor]: Taking taylor expansion of PI in n
25.338 * [backup-simplify]: Simplify PI into PI
25.338 * [backup-simplify]: Simplify (log PI) into (log PI)
25.338 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.338 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.339 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.339 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.339 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.340 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.341 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.341 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.347 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.348 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.349 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.351 * [backup-simplify]: Simplify (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.351 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.352 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
25.355 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)))))))
25.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
25.356 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
25.356 * [approximate]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
25.356 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
25.356 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
25.356 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
25.356 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
25.356 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
25.356 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.356 * [taylor]: Taking taylor expansion of 1/2 in k
25.356 * [backup-simplify]: Simplify 1/2 into 1/2
25.356 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.356 * [taylor]: Taking taylor expansion of 1/2 in k
25.356 * [backup-simplify]: Simplify 1/2 into 1/2
25.356 * [taylor]: Taking taylor expansion of k in k
25.356 * [backup-simplify]: Simplify 0 into 0
25.356 * [backup-simplify]: Simplify 1 into 1
25.356 * [taylor]: Taking taylor expansion of (log n) in k
25.356 * [taylor]: Taking taylor expansion of n in k
25.356 * [backup-simplify]: Simplify n into n
25.356 * [backup-simplify]: Simplify (log n) into (log n)
25.356 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.356 * [backup-simplify]: Simplify (- 0) into 0
25.357 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.357 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
25.357 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
25.357 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
25.357 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
25.357 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
25.357 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.357 * [taylor]: Taking taylor expansion of 1/2 in k
25.357 * [backup-simplify]: Simplify 1/2 into 1/2
25.357 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.357 * [taylor]: Taking taylor expansion of 1/2 in k
25.357 * [backup-simplify]: Simplify 1/2 into 1/2
25.357 * [taylor]: Taking taylor expansion of k in k
25.357 * [backup-simplify]: Simplify 0 into 0
25.357 * [backup-simplify]: Simplify 1 into 1
25.357 * [taylor]: Taking taylor expansion of (log PI) in k
25.357 * [taylor]: Taking taylor expansion of PI in k
25.357 * [backup-simplify]: Simplify PI into PI
25.357 * [backup-simplify]: Simplify (log PI) into (log PI)
25.358 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.358 * [backup-simplify]: Simplify (- 0) into 0
25.358 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.359 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.360 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
25.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.360 * [taylor]: Taking taylor expansion of k in k
25.360 * [backup-simplify]: Simplify 0 into 0
25.360 * [backup-simplify]: Simplify 1 into 1
25.360 * [backup-simplify]: Simplify (/ 1 1) into 1
25.360 * [backup-simplify]: Simplify (sqrt 0) into 0
25.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.361 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
25.361 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
25.361 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
25.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
25.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
25.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.362 * [taylor]: Taking taylor expansion of 1/2 in n
25.362 * [backup-simplify]: Simplify 1/2 into 1/2
25.362 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.362 * [taylor]: Taking taylor expansion of 1/2 in n
25.362 * [backup-simplify]: Simplify 1/2 into 1/2
25.362 * [taylor]: Taking taylor expansion of k in n
25.362 * [backup-simplify]: Simplify k into k
25.362 * [taylor]: Taking taylor expansion of (log n) in n
25.362 * [taylor]: Taking taylor expansion of n in n
25.362 * [backup-simplify]: Simplify 0 into 0
25.362 * [backup-simplify]: Simplify 1 into 1
25.362 * [backup-simplify]: Simplify (log 1) into 0
25.362 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.362 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.362 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.362 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.362 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
25.363 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
25.363 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
25.363 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
25.363 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
25.363 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.363 * [taylor]: Taking taylor expansion of 1/2 in n
25.363 * [backup-simplify]: Simplify 1/2 into 1/2
25.363 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.363 * [taylor]: Taking taylor expansion of 1/2 in n
25.363 * [backup-simplify]: Simplify 1/2 into 1/2
25.363 * [taylor]: Taking taylor expansion of k in n
25.363 * [backup-simplify]: Simplify k into k
25.363 * [taylor]: Taking taylor expansion of (log PI) in n
25.363 * [taylor]: Taking taylor expansion of PI in n
25.363 * [backup-simplify]: Simplify PI into PI
25.363 * [backup-simplify]: Simplify (log PI) into (log PI)
25.363 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.363 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.363 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.364 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
25.364 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
25.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
25.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.364 * [taylor]: Taking taylor expansion of k in n
25.364 * [backup-simplify]: Simplify k into k
25.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.364 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
25.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
25.364 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
25.364 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
25.364 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
25.364 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
25.364 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
25.364 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.364 * [taylor]: Taking taylor expansion of 1/2 in n
25.364 * [backup-simplify]: Simplify 1/2 into 1/2
25.364 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.364 * [taylor]: Taking taylor expansion of 1/2 in n
25.364 * [backup-simplify]: Simplify 1/2 into 1/2
25.364 * [taylor]: Taking taylor expansion of k in n
25.364 * [backup-simplify]: Simplify k into k
25.364 * [taylor]: Taking taylor expansion of (log n) in n
25.364 * [taylor]: Taking taylor expansion of n in n
25.364 * [backup-simplify]: Simplify 0 into 0
25.364 * [backup-simplify]: Simplify 1 into 1
25.365 * [backup-simplify]: Simplify (log 1) into 0
25.365 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.365 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.365 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.365 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
25.365 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
25.365 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
25.365 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
25.365 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
25.365 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.365 * [taylor]: Taking taylor expansion of 1/2 in n
25.365 * [backup-simplify]: Simplify 1/2 into 1/2
25.365 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.365 * [taylor]: Taking taylor expansion of 1/2 in n
25.365 * [backup-simplify]: Simplify 1/2 into 1/2
25.365 * [taylor]: Taking taylor expansion of k in n
25.365 * [backup-simplify]: Simplify k into k
25.365 * [taylor]: Taking taylor expansion of (log PI) in n
25.365 * [taylor]: Taking taylor expansion of PI in n
25.365 * [backup-simplify]: Simplify PI into PI
25.366 * [backup-simplify]: Simplify (log PI) into (log PI)
25.366 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.366 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.366 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.366 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
25.367 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
25.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
25.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.367 * [taylor]: Taking taylor expansion of k in n
25.367 * [backup-simplify]: Simplify k into k
25.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.367 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
25.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
25.368 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
25.368 * [backup-simplify]: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
25.368 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
25.368 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
25.368 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
25.368 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
25.368 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
25.368 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.368 * [taylor]: Taking taylor expansion of 1/2 in k
25.368 * [backup-simplify]: Simplify 1/2 into 1/2
25.368 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.368 * [taylor]: Taking taylor expansion of 1/2 in k
25.368 * [backup-simplify]: Simplify 1/2 into 1/2
25.368 * [taylor]: Taking taylor expansion of k in k
25.368 * [backup-simplify]: Simplify 0 into 0
25.368 * [backup-simplify]: Simplify 1 into 1
25.368 * [taylor]: Taking taylor expansion of (log n) in k
25.368 * [taylor]: Taking taylor expansion of n in k
25.368 * [backup-simplify]: Simplify n into n
25.368 * [backup-simplify]: Simplify (log n) into (log n)
25.369 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.369 * [backup-simplify]: Simplify (- 0) into 0
25.369 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.369 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
25.369 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
25.369 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
25.369 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
25.369 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
25.369 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.369 * [taylor]: Taking taylor expansion of 1/2 in k
25.369 * [backup-simplify]: Simplify 1/2 into 1/2
25.369 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.369 * [taylor]: Taking taylor expansion of 1/2 in k
25.369 * [backup-simplify]: Simplify 1/2 into 1/2
25.369 * [taylor]: Taking taylor expansion of k in k
25.369 * [backup-simplify]: Simplify 0 into 0
25.369 * [backup-simplify]: Simplify 1 into 1
25.370 * [taylor]: Taking taylor expansion of (log PI) in k
25.370 * [taylor]: Taking taylor expansion of PI in k
25.370 * [backup-simplify]: Simplify PI into PI
25.370 * [backup-simplify]: Simplify (log PI) into (log PI)
25.370 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.370 * [backup-simplify]: Simplify (- 0) into 0
25.371 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.371 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.372 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
25.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.372 * [taylor]: Taking taylor expansion of k in k
25.372 * [backup-simplify]: Simplify 0 into 0
25.372 * [backup-simplify]: Simplify 1 into 1
25.373 * [backup-simplify]: Simplify (/ 1 1) into 1
25.373 * [backup-simplify]: Simplify (sqrt 0) into 0
25.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.374 * [backup-simplify]: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI))
25.374 * [backup-simplify]: Simplify (* (sqrt (* n PI)) 0) into 0
25.374 * [backup-simplify]: Simplify 0 into 0
25.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
25.377 * [backup-simplify]: Simplify (- 0) into 0
25.377 * [backup-simplify]: Simplify (+ 0 0) into 0
25.378 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
25.379 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
25.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
25.382 * [backup-simplify]: Simplify (- 0) into 0
25.382 * [backup-simplify]: Simplify (+ 0 0) into 0
25.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.383 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
25.384 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
25.384 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
25.384 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
25.384 * [taylor]: Taking taylor expansion of 0 in k
25.384 * [backup-simplify]: Simplify 0 into 0
25.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.387 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
25.387 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.388 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
25.401 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
25.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
25.403 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
25.403 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.403 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
25.404 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
25.407 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt n) (log n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))))
25.408 * [backup-simplify]: Simplify (+ (* (sqrt (* n PI)) +nan.0) (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 0)) into (- (* +nan.0 (sqrt (* n PI))))
25.408 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (* n PI)))) into (- (* +nan.0 (sqrt (* n PI))))
25.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
25.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
25.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
25.414 * [backup-simplify]: Simplify (- 0) into 0
25.414 * [backup-simplify]: Simplify (+ 0 0) into 0
25.415 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
25.417 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
25.421 * [backup-simplify]: Simplify (- 0) into 0
25.422 * [backup-simplify]: Simplify (+ 0 0) into 0
25.422 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.423 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
25.424 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.425 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
25.426 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
25.426 * [taylor]: Taking taylor expansion of 0 in k
25.426 * [backup-simplify]: Simplify 0 into 0
25.426 * [backup-simplify]: Simplify 0 into 0
25.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.433 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
25.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
25.435 * [backup-simplify]: Simplify (- 0) into 0
25.436 * [backup-simplify]: Simplify (+ 0 0) into 0
25.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
25.450 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
25.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
25.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
25.454 * [backup-simplify]: Simplify (- 0) into 0
25.455 * [backup-simplify]: Simplify (+ 0 0) into 0
25.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
25.457 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
25.464 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2)))))
25.467 * [backup-simplify]: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) +nan.0) (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) 0))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI))))))))
25.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI)))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI))))))))
25.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
25.477 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
25.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
25.478 * [backup-simplify]: Simplify (- 0) into 0
25.479 * [backup-simplify]: Simplify (+ 0 0) into 0
25.480 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
25.482 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.495 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
25.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
25.497 * [backup-simplify]: Simplify (- 0) into 0
25.498 * [backup-simplify]: Simplify (+ 0 0) into 0
25.498 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.499 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
25.501 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.502 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
25.503 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
25.503 * [taylor]: Taking taylor expansion of 0 in k
25.503 * [backup-simplify]: Simplify 0 into 0
25.503 * [backup-simplify]: Simplify 0 into 0
25.503 * [backup-simplify]: Simplify 0 into 0
25.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.514 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
25.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
25.515 * [backup-simplify]: Simplify (- 0) into 0
25.515 * [backup-simplify]: Simplify (+ 0 0) into 0
25.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
25.525 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
25.527 * [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
25.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
25.528 * [backup-simplify]: Simplify (- 0) into 0
25.528 * [backup-simplify]: Simplify (+ 0 0) into 0
25.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0
25.530 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
25.536 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (sqrt (* n PI)) (pow (log PI) 3))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log PI) 2) (log n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (sqrt (* n PI)) (* (log PI) (pow (log n) 2))))))))
25.540 * [backup-simplify]: Simplify (+ (* (sqrt (* n PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) +nan.0) (+ (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) +nan.0) (* (- (+ (* 1/48 (* (sqrt (* n PI)) (pow (log PI) 3))) (+ (* 1/16 (* (sqrt (* n PI)) (* (pow (log PI) 2) (log n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (sqrt (* n PI)) (* (log PI) (pow (log n) 2)))))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))))))))))
25.544 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI))))))))))))))
25.550 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (log n)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (pow (log PI) 2))) (- (* +nan.0 (sqrt (* n PI)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt (* n PI)) (log PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (log n))) (- (* +nan.0 (sqrt (* n PI)))))))) (* k 1)) (- (* +nan.0 (sqrt (* n PI)))))) into (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (pow k 2)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow k 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (pow k 2))))))))))))))))))))))
25.550 * [backup-simplify]: Simplify (* (pow (/ 1 n) (- 1/2 (* (/ 1 k) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 k) 1/2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
25.550 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
25.550 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
25.550 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
25.551 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
25.551 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
25.551 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
25.551 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.551 * [taylor]: Taking taylor expansion of 1/2 in k
25.551 * [backup-simplify]: Simplify 1/2 into 1/2
25.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.551 * [taylor]: Taking taylor expansion of 1/2 in k
25.551 * [backup-simplify]: Simplify 1/2 into 1/2
25.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.551 * [taylor]: Taking taylor expansion of k in k
25.551 * [backup-simplify]: Simplify 0 into 0
25.551 * [backup-simplify]: Simplify 1 into 1
25.551 * [backup-simplify]: Simplify (/ 1 1) into 1
25.551 * [taylor]: Taking taylor expansion of (log PI) in k
25.551 * [taylor]: Taking taylor expansion of PI in k
25.551 * [backup-simplify]: Simplify PI into PI
25.552 * [backup-simplify]: Simplify (log PI) into (log PI)
25.552 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.553 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.553 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.554 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
25.554 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.554 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.554 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
25.555 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
25.555 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.555 * [taylor]: Taking taylor expansion of 1/2 in k
25.555 * [backup-simplify]: Simplify 1/2 into 1/2
25.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.555 * [taylor]: Taking taylor expansion of 1/2 in k
25.555 * [backup-simplify]: Simplify 1/2 into 1/2
25.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.555 * [taylor]: Taking taylor expansion of k in k
25.555 * [backup-simplify]: Simplify 0 into 0
25.555 * [backup-simplify]: Simplify 1 into 1
25.555 * [backup-simplify]: Simplify (/ 1 1) into 1
25.555 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
25.555 * [taylor]: Taking taylor expansion of (/ 1 n) in k
25.555 * [taylor]: Taking taylor expansion of n in k
25.555 * [backup-simplify]: Simplify n into n
25.555 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
25.555 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
25.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.556 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.557 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.557 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
25.557 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
25.557 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.557 * [taylor]: Taking taylor expansion of k in k
25.557 * [backup-simplify]: Simplify 0 into 0
25.557 * [backup-simplify]: Simplify 1 into 1
25.557 * [backup-simplify]: Simplify (sqrt 0) into 0
25.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.559 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
25.559 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.559 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.559 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.559 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.559 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.559 * [taylor]: Taking taylor expansion of 1/2 in n
25.559 * [backup-simplify]: Simplify 1/2 into 1/2
25.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.559 * [taylor]: Taking taylor expansion of 1/2 in n
25.559 * [backup-simplify]: Simplify 1/2 into 1/2
25.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.559 * [taylor]: Taking taylor expansion of k in n
25.559 * [backup-simplify]: Simplify k into k
25.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.559 * [taylor]: Taking taylor expansion of (log PI) in n
25.559 * [taylor]: Taking taylor expansion of PI in n
25.559 * [backup-simplify]: Simplify PI into PI
25.560 * [backup-simplify]: Simplify (log PI) into (log PI)
25.560 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.560 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.560 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.560 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.561 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.561 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.561 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.561 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.561 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.561 * [taylor]: Taking taylor expansion of 1/2 in n
25.561 * [backup-simplify]: Simplify 1/2 into 1/2
25.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.561 * [taylor]: Taking taylor expansion of 1/2 in n
25.561 * [backup-simplify]: Simplify 1/2 into 1/2
25.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.561 * [taylor]: Taking taylor expansion of k in n
25.561 * [backup-simplify]: Simplify k into k
25.561 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.561 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.561 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.561 * [taylor]: Taking taylor expansion of n in n
25.562 * [backup-simplify]: Simplify 0 into 0
25.562 * [backup-simplify]: Simplify 1 into 1
25.562 * [backup-simplify]: Simplify (/ 1 1) into 1
25.562 * [backup-simplify]: Simplify (log 1) into 0
25.562 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.562 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.563 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.563 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.563 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.563 * [taylor]: Taking taylor expansion of (sqrt k) in n
25.563 * [taylor]: Taking taylor expansion of k in n
25.563 * [backup-simplify]: Simplify k into k
25.563 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
25.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
25.564 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
25.564 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.564 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
25.564 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
25.564 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
25.564 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.564 * [taylor]: Taking taylor expansion of 1/2 in n
25.564 * [backup-simplify]: Simplify 1/2 into 1/2
25.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.564 * [taylor]: Taking taylor expansion of 1/2 in n
25.564 * [backup-simplify]: Simplify 1/2 into 1/2
25.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.564 * [taylor]: Taking taylor expansion of k in n
25.564 * [backup-simplify]: Simplify k into k
25.564 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.564 * [taylor]: Taking taylor expansion of (log PI) in n
25.564 * [taylor]: Taking taylor expansion of PI in n
25.564 * [backup-simplify]: Simplify PI into PI
25.565 * [backup-simplify]: Simplify (log PI) into (log PI)
25.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.565 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.565 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.566 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
25.566 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.566 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.566 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.566 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.566 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.566 * [taylor]: Taking taylor expansion of 1/2 in n
25.567 * [backup-simplify]: Simplify 1/2 into 1/2
25.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.567 * [taylor]: Taking taylor expansion of 1/2 in n
25.567 * [backup-simplify]: Simplify 1/2 into 1/2
25.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.567 * [taylor]: Taking taylor expansion of k in n
25.567 * [backup-simplify]: Simplify k into k
25.567 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.567 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.567 * [taylor]: Taking taylor expansion of n in n
25.567 * [backup-simplify]: Simplify 0 into 0
25.567 * [backup-simplify]: Simplify 1 into 1
25.567 * [backup-simplify]: Simplify (/ 1 1) into 1
25.568 * [backup-simplify]: Simplify (log 1) into 0
25.568 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.568 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.568 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.569 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.569 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.569 * [taylor]: Taking taylor expansion of (sqrt k) in n
25.569 * [taylor]: Taking taylor expansion of k in n
25.569 * [backup-simplify]: Simplify k into k
25.569 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
25.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
25.569 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
25.570 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
25.570 * [taylor]: Taking taylor expansion of (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
25.570 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
25.570 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
25.570 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
25.570 * [taylor]: Taking taylor expansion of -1 in k
25.570 * [backup-simplify]: Simplify -1 into -1
25.570 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
25.570 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.570 * [taylor]: Taking taylor expansion of 1/2 in k
25.570 * [backup-simplify]: Simplify 1/2 into 1/2
25.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.570 * [taylor]: Taking taylor expansion of 1/2 in k
25.570 * [backup-simplify]: Simplify 1/2 into 1/2
25.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.570 * [taylor]: Taking taylor expansion of k in k
25.570 * [backup-simplify]: Simplify 0 into 0
25.570 * [backup-simplify]: Simplify 1 into 1
25.571 * [backup-simplify]: Simplify (/ 1 1) into 1
25.571 * [taylor]: Taking taylor expansion of (log n) in k
25.571 * [taylor]: Taking taylor expansion of n in k
25.571 * [backup-simplify]: Simplify n into n
25.571 * [backup-simplify]: Simplify (log n) into (log n)
25.571 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.572 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.572 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.572 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
25.572 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
25.572 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.572 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
25.572 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
25.572 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
25.573 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.573 * [taylor]: Taking taylor expansion of 1/2 in k
25.573 * [backup-simplify]: Simplify 1/2 into 1/2
25.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.573 * [taylor]: Taking taylor expansion of 1/2 in k
25.573 * [backup-simplify]: Simplify 1/2 into 1/2
25.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.573 * [taylor]: Taking taylor expansion of k in k
25.573 * [backup-simplify]: Simplify 0 into 0
25.573 * [backup-simplify]: Simplify 1 into 1
25.573 * [backup-simplify]: Simplify (/ 1 1) into 1
25.573 * [taylor]: Taking taylor expansion of (log PI) in k
25.573 * [taylor]: Taking taylor expansion of PI in k
25.573 * [backup-simplify]: Simplify PI into PI
25.574 * [backup-simplify]: Simplify (log PI) into (log PI)
25.574 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.574 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.575 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.576 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
25.576 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
25.576 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.576 * [taylor]: Taking taylor expansion of k in k
25.576 * [backup-simplify]: Simplify 0 into 0
25.576 * [backup-simplify]: Simplify 1 into 1
25.577 * [backup-simplify]: Simplify (sqrt 0) into 0
25.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.579 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
25.579 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
25.579 * [backup-simplify]: Simplify 0 into 0
25.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.582 * [backup-simplify]: Simplify (- 0) into 0
25.583 * [backup-simplify]: Simplify (+ 0 0) into 0
25.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.583 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
25.584 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.588 * [backup-simplify]: Simplify (- 0) into 0
25.588 * [backup-simplify]: Simplify (+ 0 0) into 0
25.589 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
25.591 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
25.591 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
25.591 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (sqrt k))) into 0
25.592 * [taylor]: Taking taylor expansion of 0 in k
25.592 * [backup-simplify]: Simplify 0 into 0
25.592 * [backup-simplify]: Simplify 0 into 0
25.592 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0
25.593 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.593 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
25.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.599 * [backup-simplify]: Simplify (- 0) into 0
25.599 * [backup-simplify]: Simplify (+ 0 0) into 0
25.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.600 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
25.602 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
25.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.607 * [backup-simplify]: Simplify (- 0) into 0
25.607 * [backup-simplify]: Simplify (+ 0 0) into 0
25.608 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
25.610 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.611 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
25.611 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
25.612 * [taylor]: Taking taylor expansion of 0 in k
25.612 * [backup-simplify]: Simplify 0 into 0
25.612 * [backup-simplify]: Simplify 0 into 0
25.612 * [backup-simplify]: Simplify 0 into 0
25.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.615 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
25.624 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.625 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
25.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
25.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
25.633 * [backup-simplify]: Simplify (- 0) into 0
25.633 * [backup-simplify]: Simplify (+ 0 0) into 0
25.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.634 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
25.635 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.638 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
25.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
25.639 * [backup-simplify]: Simplify (- 0) into 0
25.639 * [backup-simplify]: Simplify (+ 0 0) into 0
25.640 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
25.641 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.642 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
25.643 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
25.643 * [taylor]: Taking taylor expansion of 0 in k
25.643 * [backup-simplify]: Simplify 0 into 0
25.643 * [backup-simplify]: Simplify 0 into 0
25.643 * [backup-simplify]: Simplify 0 into 0
25.643 * [backup-simplify]: Simplify 0 into 0
25.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.646 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
25.647 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.647 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
25.648 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
25.648 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (- 1/2 (* (/ 1 (- k)) 1/2))) (/ (pow PI (- 1/2 (* (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
25.648 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
25.648 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
25.649 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
25.649 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.649 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
25.649 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
25.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.649 * [taylor]: Taking taylor expansion of 1/2 in k
25.649 * [backup-simplify]: Simplify 1/2 into 1/2
25.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.649 * [taylor]: Taking taylor expansion of k in k
25.649 * [backup-simplify]: Simplify 0 into 0
25.649 * [backup-simplify]: Simplify 1 into 1
25.649 * [backup-simplify]: Simplify (/ 1 1) into 1
25.649 * [taylor]: Taking taylor expansion of 1/2 in k
25.649 * [backup-simplify]: Simplify 1/2 into 1/2
25.649 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
25.649 * [taylor]: Taking taylor expansion of (/ -1 n) in k
25.649 * [taylor]: Taking taylor expansion of -1 in k
25.649 * [backup-simplify]: Simplify -1 into -1
25.649 * [taylor]: Taking taylor expansion of n in k
25.649 * [backup-simplify]: Simplify n into n
25.649 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
25.650 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
25.650 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.650 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.650 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
25.650 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
25.650 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.650 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
25.650 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
25.651 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.651 * [taylor]: Taking taylor expansion of 1/2 in k
25.651 * [backup-simplify]: Simplify 1/2 into 1/2
25.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.651 * [taylor]: Taking taylor expansion of k in k
25.651 * [backup-simplify]: Simplify 0 into 0
25.651 * [backup-simplify]: Simplify 1 into 1
25.651 * [backup-simplify]: Simplify (/ 1 1) into 1
25.651 * [taylor]: Taking taylor expansion of 1/2 in k
25.651 * [backup-simplify]: Simplify 1/2 into 1/2
25.651 * [taylor]: Taking taylor expansion of (log PI) in k
25.651 * [taylor]: Taking taylor expansion of PI in k
25.651 * [backup-simplify]: Simplify PI into PI
25.651 * [backup-simplify]: Simplify (log PI) into (log PI)
25.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.652 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.653 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.653 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.653 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.653 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.653 * [taylor]: Taking taylor expansion of -1 in k
25.653 * [backup-simplify]: Simplify -1 into -1
25.653 * [taylor]: Taking taylor expansion of k in k
25.653 * [backup-simplify]: Simplify 0 into 0
25.653 * [backup-simplify]: Simplify 1 into 1
25.653 * [backup-simplify]: Simplify (/ -1 1) into -1
25.654 * [backup-simplify]: Simplify (sqrt 0) into 0
25.655 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.655 * [backup-simplify]: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.655 * [backup-simplify]: Simplify (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.655 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
25.655 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.655 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.655 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.655 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.655 * [taylor]: Taking taylor expansion of 1/2 in n
25.655 * [backup-simplify]: Simplify 1/2 into 1/2
25.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.655 * [taylor]: Taking taylor expansion of k in n
25.655 * [backup-simplify]: Simplify k into k
25.655 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.655 * [taylor]: Taking taylor expansion of 1/2 in n
25.655 * [backup-simplify]: Simplify 1/2 into 1/2
25.655 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.655 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.655 * [taylor]: Taking taylor expansion of -1 in n
25.655 * [backup-simplify]: Simplify -1 into -1
25.655 * [taylor]: Taking taylor expansion of n in n
25.656 * [backup-simplify]: Simplify 0 into 0
25.656 * [backup-simplify]: Simplify 1 into 1
25.656 * [backup-simplify]: Simplify (/ -1 1) into -1
25.656 * [backup-simplify]: Simplify (log -1) into (log -1)
25.656 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.656 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.657 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.657 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.657 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.657 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.658 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.658 * [taylor]: Taking taylor expansion of 1/2 in n
25.658 * [backup-simplify]: Simplify 1/2 into 1/2
25.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.658 * [taylor]: Taking taylor expansion of k in n
25.658 * [backup-simplify]: Simplify k into k
25.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.658 * [taylor]: Taking taylor expansion of 1/2 in n
25.658 * [backup-simplify]: Simplify 1/2 into 1/2
25.658 * [taylor]: Taking taylor expansion of (log PI) in n
25.658 * [taylor]: Taking taylor expansion of PI in n
25.658 * [backup-simplify]: Simplify PI into PI
25.658 * [backup-simplify]: Simplify (log PI) into (log PI)
25.658 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.658 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.659 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.659 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.659 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
25.659 * [taylor]: Taking taylor expansion of (/ -1 k) in n
25.660 * [taylor]: Taking taylor expansion of -1 in n
25.660 * [backup-simplify]: Simplify -1 into -1
25.660 * [taylor]: Taking taylor expansion of k in n
25.660 * [backup-simplify]: Simplify k into k
25.660 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
25.660 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
25.660 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
25.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
25.661 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.661 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
25.661 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
25.662 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
25.662 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.662 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
25.662 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
25.662 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.662 * [taylor]: Taking taylor expansion of 1/2 in n
25.662 * [backup-simplify]: Simplify 1/2 into 1/2
25.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.662 * [taylor]: Taking taylor expansion of k in n
25.662 * [backup-simplify]: Simplify k into k
25.662 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.662 * [taylor]: Taking taylor expansion of 1/2 in n
25.662 * [backup-simplify]: Simplify 1/2 into 1/2
25.662 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.662 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.662 * [taylor]: Taking taylor expansion of -1 in n
25.662 * [backup-simplify]: Simplify -1 into -1
25.662 * [taylor]: Taking taylor expansion of n in n
25.662 * [backup-simplify]: Simplify 0 into 0
25.662 * [backup-simplify]: Simplify 1 into 1
25.663 * [backup-simplify]: Simplify (/ -1 1) into -1
25.663 * [backup-simplify]: Simplify (log -1) into (log -1)
25.663 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.663 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.665 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
25.665 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.665 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
25.665 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
25.665 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
25.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
25.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.665 * [taylor]: Taking taylor expansion of 1/2 in n
25.665 * [backup-simplify]: Simplify 1/2 into 1/2
25.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.665 * [taylor]: Taking taylor expansion of k in n
25.665 * [backup-simplify]: Simplify k into k
25.665 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.665 * [taylor]: Taking taylor expansion of 1/2 in n
25.665 * [backup-simplify]: Simplify 1/2 into 1/2
25.666 * [taylor]: Taking taylor expansion of (log PI) in n
25.666 * [taylor]: Taking taylor expansion of PI in n
25.666 * [backup-simplify]: Simplify PI into PI
25.666 * [backup-simplify]: Simplify (log PI) into (log PI)
25.666 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.666 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
25.667 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
25.667 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
25.667 * [taylor]: Taking taylor expansion of (/ -1 k) in n
25.667 * [taylor]: Taking taylor expansion of -1 in n
25.667 * [backup-simplify]: Simplify -1 into -1
25.667 * [taylor]: Taking taylor expansion of k in n
25.667 * [backup-simplify]: Simplify k into k
25.668 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
25.668 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
25.668 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
25.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
25.669 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.669 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
25.669 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
25.670 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
25.670 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
25.670 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
25.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.670 * [taylor]: Taking taylor expansion of 1/2 in k
25.670 * [backup-simplify]: Simplify 1/2 into 1/2
25.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.670 * [taylor]: Taking taylor expansion of k in k
25.670 * [backup-simplify]: Simplify 0 into 0
25.670 * [backup-simplify]: Simplify 1 into 1
25.670 * [backup-simplify]: Simplify (/ 1 1) into 1
25.670 * [taylor]: Taking taylor expansion of 1/2 in k
25.670 * [backup-simplify]: Simplify 1/2 into 1/2
25.670 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
25.670 * [taylor]: Taking taylor expansion of (log -1) in k
25.670 * [taylor]: Taking taylor expansion of -1 in k
25.670 * [backup-simplify]: Simplify -1 into -1
25.671 * [backup-simplify]: Simplify (log -1) into (log -1)
25.671 * [taylor]: Taking taylor expansion of (log n) in k
25.671 * [taylor]: Taking taylor expansion of n in k
25.671 * [backup-simplify]: Simplify n into n
25.671 * [backup-simplify]: Simplify (log n) into (log n)
25.671 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.672 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.672 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
25.672 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
25.673 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
25.673 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
25.673 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.673 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
25.673 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
25.673 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.673 * [taylor]: Taking taylor expansion of 1/2 in k
25.674 * [backup-simplify]: Simplify 1/2 into 1/2
25.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.674 * [taylor]: Taking taylor expansion of k in k
25.674 * [backup-simplify]: Simplify 0 into 0
25.674 * [backup-simplify]: Simplify 1 into 1
25.674 * [backup-simplify]: Simplify (/ 1 1) into 1
25.674 * [taylor]: Taking taylor expansion of 1/2 in k
25.674 * [backup-simplify]: Simplify 1/2 into 1/2
25.674 * [taylor]: Taking taylor expansion of (log PI) in k
25.674 * [taylor]: Taking taylor expansion of PI in k
25.674 * [backup-simplify]: Simplify PI into PI
25.674 * [backup-simplify]: Simplify (log PI) into (log PI)
25.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.675 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.676 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
25.676 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
25.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.676 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.676 * [taylor]: Taking taylor expansion of -1 in k
25.676 * [backup-simplify]: Simplify -1 into -1
25.676 * [taylor]: Taking taylor expansion of k in k
25.676 * [backup-simplify]: Simplify 0 into 0
25.676 * [backup-simplify]: Simplify 1 into 1
25.676 * [backup-simplify]: Simplify (/ -1 1) into -1
25.677 * [backup-simplify]: Simplify (sqrt 0) into 0
25.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.678 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
25.679 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.679 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
25.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
25.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.681 * [backup-simplify]: Simplify (+ 0 0) into 0
25.681 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
25.682 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
25.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
25.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.684 * [backup-simplify]: Simplify (+ 0 0) into 0
25.684 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.685 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
25.686 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.686 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
25.687 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
25.687 * [taylor]: Taking taylor expansion of 0 in k
25.687 * [backup-simplify]: Simplify 0 into 0
25.687 * [backup-simplify]: Simplify 0 into 0
25.687 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
25.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.692 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.692 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
25.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.695 * [backup-simplify]: Simplify (+ 0 0) into 0
25.696 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
25.697 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
25.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.700 * [backup-simplify]: Simplify (+ 0 0) into 0
25.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.701 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
25.703 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.704 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
25.704 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
25.706 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
25.706 * [taylor]: Taking taylor expansion of 0 in k
25.706 * [backup-simplify]: Simplify 0 into 0
25.706 * [backup-simplify]: Simplify 0 into 0
25.706 * [backup-simplify]: Simplify 0 into 0
25.707 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
25.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.715 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.716 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
25.719 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))
25.719 * * * [progress]: simplifying candidates
25.719 * * * * [progress]: [ 1 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (log1p (expm1 (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.719 * * * * [progress]: [ 2 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (expm1 (log1p (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.719 * * * * [progress]: [ 3 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (exp (* (log n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.719 * * * * [progress]: [ 4 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (exp (* (log n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.719 * * * * [progress]: [ 5 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (* 1 (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 6 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (/ (pow n 1/2) (pow n (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 7 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (pow n (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 8 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (pow n (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 9 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (pow n 1) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 10 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (pow n 1/2) (- 1 k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 11 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (pow n (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 12 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (pow n (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 13 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (fma 1 1/2 (- (* 1/2 k)))) (pow n (fma (- 1/2) k (* 1/2 k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 14 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n 1/2) (pow n (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 15 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n 1/2) (pow n (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 16 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* k 1/2))) (pow (cbrt n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 17 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (pow (sqrt n) (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.720 * * * * [progress]: [ 18 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow 1 (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 19 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (pow n (- 1/2 (* k 1/2))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 20 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (exp (log (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 21 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (log (exp (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 22 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (cbrt (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 23 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (cbrt (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 24 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 25 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* 1 (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 26 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (pow n (/ (- 1/2 (* k 1/2)) 2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 27 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (posit16->real (real->posit16 (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.721 * * * * [progress]: [ 28 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (log1p (expm1 (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.721 * * * * [progress]: [ 29 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (expm1 (log1p (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.721 * * * * [progress]: [ 30 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.721 * * * * [progress]: [ 31 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 32 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (* 1 (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 33 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (/ (pow PI 1/2) (pow PI (* k 1/2))) (sqrt k)))))>
25.722 * * * * [progress]: [ 34 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2))))) (cbrt (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 35 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow (pow PI (sqrt (- 1/2 (* k 1/2)))) (sqrt (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 36 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow (pow PI 1) (- 1/2 (* k 1/2))) (sqrt k)))))>
25.722 * * * * [progress]: [ 37 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow (pow PI 1/2) (- 1 k)) (sqrt k)))))>
25.722 * * * * [progress]: [ 38 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 39 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 40 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI (fma 1 1/2 (- (* 1/2 k)))) (pow PI (fma (- 1/2) k (* 1/2 k)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 41 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI 1/2) (pow PI (- (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 42 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI 1/2) (pow PI (- (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 43 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (pow (cbrt PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 44 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow (sqrt PI) (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 45 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow 1 (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.722 * * * * [progress]: [ 46 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow (pow PI (- 1/2 (* k 1/2))) 1) (sqrt k)))))>
25.722 * * * * [progress]: [ 47 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (exp (log (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.722 * * * * [progress]: [ 48 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (log (exp (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.722 * * * * [progress]: [ 49 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.722 * * * * [progress]: [ 50 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (cbrt (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.722 * * * * [progress]: [ 51 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.723 * * * * [progress]: [ 52 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* 1 (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.723 * * * * [progress]: [ 53 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (* (pow PI (/ (- 1/2 (* k 1/2)) 2)) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt k)))))>
25.723 * * * * [progress]: [ 54 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (posit16->real (real->posit16 (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))))>
25.723 * * * * [progress]: [ 55 / 276 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 56 / 276 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 57 / 276 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) 1))>
25.723 * * * * [progress]: [ 58 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 59 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 60 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 61 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 62 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 63 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 64 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 65 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 66 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 67 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 68 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 69 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 70 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.723 * * * * [progress]: [ 71 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 72 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 73 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.723 * * * * [progress]: [ 74 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 75 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 76 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 77 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 78 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 79 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 80 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 81 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 82 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 83 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log 2) (- 1/2 (* k 1/2))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 84 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 85 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 86 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 87 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 88 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 89 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 90 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 91 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 92 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 93 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 94 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.724 * * * * [progress]: [ 95 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 96 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow 2 (- 1/2 (* k 1/2)))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 97 / 276 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.724 * * * * [progress]: [ 98 / 276 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 99 / 276 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))))>
25.725 * * * * [progress]: [ 100 / 276 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 101 / 276 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 102 / 276 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))) (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 103 / 276 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 104 / 276 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (sqrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.725 * * * * [progress]: [ 105 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 1/2) (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2))))) (* (pow 2 (* k 1/2)) (* (pow n (* k 1/2)) (sqrt k)))))>
25.725 * * * * [progress]: [ 106 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 1/2) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (* (pow 2 (* k 1/2)) (sqrt k))))>
25.725 * * * * [progress]: [ 107 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 1/2) (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow 2 (* k 1/2)) (pow n (* k 1/2)))))>
25.725 * * * * [progress]: [ 108 / 276 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 109 / 276 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 2 (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))>
25.725 * * * * [progress]: [ 110 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 111 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 112 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (fma 1 1/2 (- (* 1/2 k)))) (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 113 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 1/2) (* (pow 2 (- (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 114 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 1/2) (* (pow 2 (- (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 115 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt 2) (cbrt 2)) (- 1/2 (* k 1/2))) (* (pow (cbrt 2) (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 116 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt 2) (- 1/2 (* k 1/2))) (* (pow (sqrt 2) (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 117 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 118 / 276 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (cbrt (pow 2 (- 1/2 (* k 1/2))))) (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.725 * * * * [progress]: [ 119 / 276 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.726 * * * * [progress]: [ 120 / 276 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.726 * * * * [progress]: [ 121 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (/ (- 1/2 (* k 1/2)) 2)) (* (pow 2 (/ (- 1/2 (* k 1/2)) 2)) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.726 * * * * [progress]: [ 122 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2))))) (* (pow n (* k 1/2)) (sqrt k))))>
25.726 * * * * [progress]: [ 123 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))) (sqrt k)))>
25.726 * * * * [progress]: [ 124 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (pow n (* k 1/2))))>
25.726 * * * * [progress]: [ 125 / 276 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 1/2) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (pow 2 (* k 1/2))))>
25.726 * * * * [progress]: [ 126 / 276 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.726 * * * * [progress]: [ 127 / 276 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (pow 2 (- 1/2 (* k 1/2)))))>
25.726 * * * * [progress]: [ 128 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (log1p (expm1 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.726 * * * * [progress]: [ 129 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (expm1 (log1p (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.726 * * * * [progress]: [ 130 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (pow (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) 1)))>
25.726 * * * * [progress]: [ 131 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 132 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 133 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 134 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.726 * * * * [progress]: [ 135 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 136 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 137 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 138 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.726 * * * * [progress]: [ 139 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 140 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))))>
25.726 * * * * [progress]: [ 141 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))))>
25.727 * * * * [progress]: [ 142 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 143 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (exp (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 144 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (log (exp (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 145 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (cbrt (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))))>
25.727 * * * * [progress]: [ 146 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (cbrt (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 147 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 148 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (cbrt (* (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 149 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (sqrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (sqrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 150 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (/ (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2)))) (* (pow n (* k 1/2)) (sqrt k)))))>
25.727 * * * * [progress]: [ 151 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* 1 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.727 * * * * [progress]: [ 152 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 153 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 154 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 155 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 156 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 157 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 158 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 159 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.727 * * * * [progress]: [ 160 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 161 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 162 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 163 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.727 * * * * [progress]: [ 164 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 165 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 166 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.728 * * * * [progress]: [ 167 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 168 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 169 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 170 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 171 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 172 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))))))>
25.728 * * * * [progress]: [ 173 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.728 * * * * [progress]: [ 174 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.728 * * * * [progress]: [ 175 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
25.728 * * * * [progress]: [ 176 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
25.728 * * * * [progress]: [ 177 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.728 * * * * [progress]: [ 178 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.728 * * * * [progress]: [ 179 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.728 * * * * [progress]: [ 180 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.728 * * * * [progress]: [ 181 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
25.728 * * * * [progress]: [ 182 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
25.728 * * * * [progress]: [ 183 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.728 * * * * [progress]: [ 184 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.729 * * * * [progress]: [ 185 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 186 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.729 * * * * [progress]: [ 187 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (cbrt (sqrt k))))))>
25.729 * * * * [progress]: [ 188 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (cbrt k))))))>
25.729 * * * * [progress]: [ 189 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 190 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.729 * * * * [progress]: [ 191 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k)))) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 192 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1)) (/ (pow PI (fma (- 1/2) k (* 1/2 k))) (sqrt k)))))>
25.729 * * * * [progress]: [ 193 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k))))))>
25.729 * * * * [progress]: [ 194 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k))))))>
25.729 * * * * [progress]: [ 195 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 196 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
25.729 * * * * [progress]: [ 197 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 198 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
25.729 * * * * [progress]: [ 199 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* k 1/2))) (cbrt (sqrt k))))))>
25.729 * * * * [progress]: [ 200 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* k 1/2))) (sqrt (cbrt k))))))>
25.729 * * * * [progress]: [ 201 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 202 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
25.729 * * * * [progress]: [ 203 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k))))))>
25.729 * * * * [progress]: [ 204 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* k 1/2))) (sqrt k)))))>
25.729 * * * * [progress]: [ 205 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
25.730 * * * * [progress]: [ 206 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
25.730 * * * * [progress]: [ 207 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 208 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 209 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 210 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1)) (/ (pow (cbrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 211 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
25.730 * * * * [progress]: [ 212 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
25.730 * * * * [progress]: [ 213 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 214 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 215 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 216 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 217 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
25.730 * * * * [progress]: [ 218 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
25.730 * * * * [progress]: [ 219 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 220 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 221 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 222 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.730 * * * * [progress]: [ 223 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))>
25.730 * * * * [progress]: [ 224 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k))))))>
25.730 * * * * [progress]: [ 225 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 226 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.730 * * * * [progress]: [ 227 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
25.730 * * * * [progress]: [ 228 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1)) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.731 * * * * [progress]: [ 229 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))))))>
25.731 * * * * [progress]: [ 230 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (cbrt k))))))>
25.731 * * * * [progress]: [ 231 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 232 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.731 * * * * [progress]: [ 233 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 234 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))))>
25.731 * * * * [progress]: [ 235 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))))>
25.731 * * * * [progress]: [ 236 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (cbrt k))))))>
25.731 * * * * [progress]: [ 237 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 238 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt 1))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.731 * * * * [progress]: [ 239 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 240 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ 1 1)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.731 * * * * [progress]: [ 241 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k))))))>
25.731 * * * * [progress]: [ 242 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (cbrt k))))))>
25.731 * * * * [progress]: [ 243 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 244 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k)))))>
25.731 * * * * [progress]: [ 245 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))))>
25.731 * * * * [progress]: [ 246 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt k)))))>
25.731 * * * * [progress]: [ 247 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) 1) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.731 * * * * [progress]: [ 248 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (/ 1 (sqrt k)))))>
25.731 * * * * [progress]: [ 249 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.731 * * * * [progress]: [ 250 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 251 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (fma 1 1/2 (- (* 1/2 k)))) (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 252 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (* (pow n (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 253 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (* (pow n (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 254 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* k 1/2))) (* (pow (cbrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 255 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 256 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 1 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 257 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2))))) (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 258 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 259 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* 1 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 260 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))>
25.732 * * * * [progress]: [ 261 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))>
25.732 * * * * [progress]: [ 262 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (/ (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (pow n (* k 1/2)))))>
25.732 * * * * [progress]: [ 263 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (posit16->real (real->posit16 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))))>
25.732 * * * * [progress]: [ 264 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (pow n (- 1/2 (* k 1/2))))))>
25.732 * * * * [progress]: [ 265 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.732 * * * * [progress]: [ 266 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.732 * * * * [progress]: [ 267 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))>
25.732 * * * * [progress]: [ 268 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k)))))>
25.732 * * * * [progress]: [ 269 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
25.732 * * * * [progress]: [ 270 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
25.732 * * * * [progress]: [ 271 / 276 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))))>
25.733 * * * * [progress]: [ 272 / 276 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))))>
25.733 * * * * [progress]: [ 273 / 276 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))))>
25.733 * * * * [progress]: [ 274 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (pow k 2)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow k 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (pow k 2))))))))))))))))))))))))>
25.733 * * * * [progress]: [ 275 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))))>
25.733 * * * * [progress]: [ 276 / 276 ] simplifiying candidate #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))))>
25.741 * [simplify]: Simplifying:
  (expm1 (pow n (- 1/2 (* k 1/2))))
  (log1p (pow n (- 1/2 (* k 1/2))))
  (* (log n) (- 1/2 (* k 1/2)))
  (* (log n) (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (pow n 1/2)
  (pow n (* k 1/2))
  (pow n (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow n (sqrt (- 1/2 (* k 1/2))))
  (pow n 1)
  (pow n 1/2)
  (pow n (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (pow n (fma (- 1/2) k (* 1/2 k)))
  (pow n (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (pow n (fma (- 1/2) k (* 1/2 k)))
  (pow n (fma 1 1/2 (- (* 1/2 k))))
  (pow n (fma (- 1/2) k (* 1/2 k)))
  (pow n 1/2)
  (pow n (- (* k 1/2)))
  (pow n 1/2)
  (pow n (- (* k 1/2)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* k 1/2)))
  (pow (cbrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  (pow 1 (- 1/2 (* k 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (log (pow n (- 1/2 (* k 1/2))))
  (exp (pow n (- 1/2 (* k 1/2))))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))
  (cbrt (pow n (- 1/2 (* k 1/2))))
  (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (pow n (/ (- 1/2 (* k 1/2)) 2))
  (pow n (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow n (- 1/2 (* k 1/2))))
  (expm1 (pow PI (- 1/2 (* k 1/2))))
  (log1p (pow PI (- 1/2 (* k 1/2))))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* 1 (- 1/2 (* k 1/2)))
  (pow PI 1/2)
  (pow PI (* k 1/2))
  (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow PI (sqrt (- 1/2 (* k 1/2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI (fma 1 1/2 (- (* 1/2 k))))
  (pow PI (fma (- 1/2) k (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (- (* k 1/2)))
  (pow PI 1/2)
  (pow PI (- (* k 1/2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))
  (pow (cbrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow 1 (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (log (pow PI (- 1/2 (* k 1/2))))
  (exp (pow PI (- 1/2 (* k 1/2))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (cbrt (pow PI (- 1/2 (* k 1/2))))
  (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow PI (- 1/2 (* k 1/2))))
  (expm1 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (log1p (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (* (log 2) (- 1/2 (* k 1/2))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (+ (log (pow 2 (- 1/2 (* k 1/2)))) (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (log (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (exp (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))
  (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (* (* (pow 2 (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2)))) (* (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))
  (cbrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (* (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (sqrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (sqrt (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (pow 2 1/2) (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2)))))
  (* (pow 2 (* k 1/2)) (* (pow n (* k 1/2)) (sqrt k)))
  (* (pow 2 1/2) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))
  (* (pow 2 (* k 1/2)) (sqrt k))
  (* (pow 2 1/2) (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (* k 1/2)) (pow n (* k 1/2)))
  (* (pow 2 (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))
  (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (fma (- 1/2) k (* 1/2 k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (- (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (- (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (cbrt 2) (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (/ (- 1/2 (* k 1/2)) 2)) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2)))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow 2 1/2) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (real->posit16 (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (expm1 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (log1p (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (* k 1/2))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (* k 1/2)))) (- (* (log PI) (- 1/2 (* k 1/2))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (* k 1/2)))) (- (log (pow PI (- 1/2 (* k 1/2)))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (* k 1/2)))) (log (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (log (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (exp (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (* (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (cbrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (* (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (sqrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (sqrt (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow n 1/2) (pow PI (- 1/2 (* k 1/2))))
  (* (pow n (* k 1/2)) (sqrt k))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* 1/2 k)))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma (sqrt 1/2) (sqrt 1/2) (- (* 1/2 k)))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (fma 1 1/2 (- (* 1/2 k)))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI 1/2) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow 1 (- 1/2 (* k 1/2))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ 1 1))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt 1)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) 1))
  (* (pow n (- 1/2 (* k 1/2))) 1)
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (fma (- 1/2) k (* 1/2 k))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (cbrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (pow n 1/2) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (real->posit16 (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
  (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)))))))
  (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (pow k 2)))) (- (+ (* +nan.0 (sqrt (* n PI))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (log PI) k))) (- (+ (* +nan.0 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow k 2)))) (- (* +nan.0 (* (sqrt (* n PI)) (pow k 2))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))
25.748 * * [simplify]: iteration 0: 485 enodes
25.950 * * [simplify]: iteration 1: 1466 enodes
26.594 * * [simplify]: iteration complete: 5000 enodes
26.595 * * [simplify]: Extracting #0: cost 158 inf + 0
26.599 * * [simplify]: Extracting #1: cost 937 inf + 3
26.610 * * [simplify]: Extracting #2: cost 1417 inf + 9187
26.634 * * [simplify]: Extracting #3: cost 1468 inf + 148580
26.704 * * [simplify]: Extracting #4: cost 844 inf + 501256
26.811 * * [simplify]: Extracting #5: cost 386 inf + 749897
27.003 * * [simplify]: Extracting #6: cost 91 inf + 927258
27.185 * * [simplify]: Extracting #7: cost 7 inf + 983835
27.364 * * [simplify]: Extracting #8: cost 0 inf + 981456
27.581 * * [simplify]: Extracting #9: cost 0 inf + 979711
27.801 * * [simplify]: Extracting #10: cost 0 inf + 979511
28.012 * * [simplify]: Extracting #11: cost 0 inf + 979436
28.204 * * [simplify]: Extracting #12: cost 0 inf + 979411
28.405 * * [simplify]: Extracting #13: cost 0 inf + 979361
28.597 * [simplify]: Simplified to:
  (expm1 (pow n (- 1/2 (* k 1/2))))
  (log1p (pow n (- 1/2 (* k 1/2))))
  (* (- 1/2 (* k 1/2)) (log n))
  (* (- 1/2 (* k 1/2)) (log n))
  (- 1/2 (* k 1/2))
  (sqrt n)
  (pow n (* k 1/2))
  (pow n (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow n (sqrt (- 1/2 (* k 1/2))))
  n
  (sqrt n)
  (pow n (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow n (* k (+ -1/2 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (pow n (* k (+ -1/2 1/2)))
  (pow n (- 1/2 (* k 1/2)))
  (pow n (* k (+ -1/2 1/2)))
  (sqrt n)
  (pow n (* k -1/2))
  (sqrt n)
  (pow n (* k -1/2))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* k 1/2)))
  (pow (cbrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  1
  (pow n (- 1/2 (* k 1/2)))
  (* (- 1/2 (* k 1/2)) (log n))
  (exp (pow n (- 1/2 (* k 1/2))))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))
  (cbrt (pow n (- 1/2 (* k 1/2))))
  (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (pow n (/ (- 1/2 (* k 1/2)) 2))
  (pow n (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow n (- 1/2 (* k 1/2))))
  (expm1 (pow PI (- 1/2 (* k 1/2))))
  (log1p (pow PI (- 1/2 (* k 1/2))))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (- 1/2 (* k 1/2))
  (sqrt PI)
  (pow PI (* k 1/2))
  (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow PI (sqrt (- 1/2 (* k 1/2))))
  PI
  (sqrt PI)
  (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow PI (* k (+ -1/2 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (* k (+ -1/2 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (* k (+ -1/2 1/2)))
  (sqrt PI)
  (pow PI (* k -1/2))
  (sqrt PI)
  (pow PI (* k -1/2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))
  (pow (cbrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  1
  (pow PI (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (exp (pow PI (- 1/2 (* k 1/2))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (cbrt (pow PI (- 1/2 (* k 1/2))))
  (* (pow PI (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (pow PI (/ (- 1/2 (* k 1/2)) 2))
  (real->posit16 (pow PI (- 1/2 (* k 1/2))))
  (expm1 (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (log1p (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (fma (- 1/2 (* k 1/2)) (log 2) (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k))))
  (exp (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))) (* (/ (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) k) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))
  (* (pow 2 (- 1/2 (* k 1/2))) (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow 2 (- 1/2 (* k 1/2))) (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))) (* (/ (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) k) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))))
  (/ (* (* (* (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)) (pow 2 (- 1/2 (* k 1/2)))) (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (* (cbrt (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))) (cbrt (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))))
  (cbrt (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (/ (* (* (* (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)) (pow 2 (- 1/2 (* k 1/2)))) (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (sqrt (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (sqrt (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (* (pow PI (- 1/2 (* k 1/2))) (* (sqrt n) (sqrt 2)))
  (* (* (pow n (* k 1/2)) (sqrt k)) (pow 2 (* k 1/2)))
  (* (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))
  (* (sqrt k) (pow 2 (* k 1/2)))
  (* (/ (* (pow PI (- 1/2 (* k 1/2))) (sqrt n)) (sqrt k)) (sqrt 2))
  (* (pow 2 (* k 1/2)) (pow n (* k 1/2)))
  (* (pow n (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (* k 1/2))))
  (/ (* (pow 2 (* k (+ -1/2 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (* (pow 2 (* k (+ -1/2 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (* (pow 2 (* k (+ -1/2 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (pow 2 (* k -1/2)))
  (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (pow 2 (* k -1/2)))
  (* (pow (cbrt 2) (- 1/2 (* k 1/2))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (pow (sqrt 2) (- 1/2 (* k 1/2))))
  (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (* (cbrt (pow 2 (- 1/2 (* k 1/2)))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (* (sqrt (pow 2 (- 1/2 (* k 1/2)))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (* (* (pow 2 (/ (- 1/2 (* k 1/2)) 2)) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (* (pow PI (- 1/2 (* k 1/2))) (sqrt n)) (pow 2 (- 1/2 (* k 1/2))))
  (* (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow 2 (- 1/2 (* k 1/2))))
  (* (* (pow 2 (- 1/2 (* k 1/2))) (sqrt n)) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (sqrt 2))
  (real->posit16 (/ (* (pow 2 (- 1/2 (* k 1/2))) (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))) (sqrt k)))
  (expm1 (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (log1p (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))) (log (sqrt k)))
  (exp (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) k))
  (* (* (* (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) k))
  (* (cbrt (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))) (cbrt (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))))
  (cbrt (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (* (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)) (pow n (- 1/2 (* k 1/2))))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (sqrt (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (sqrt (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (* (pow PI (- 1/2 (* k 1/2))) (sqrt n))
  (* (pow n (* k 1/2)) (sqrt k))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (sqrt k))))
  (/ (* (pow (sqrt n) (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt n) (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt n) (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt n) (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (sqrt (sqrt k)))
  (* (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (pow n (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (pow n (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (pow n (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (sqrt (pow n (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow n (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (sqrt (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (* k 1/2)))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (* k 1/2)))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (* k 1/2)))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (* k 1/2)))))
  (/ (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (* (pow n (/ (- 1/2 (* k 1/2)) 2)) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (/ (pow n (/ (- 1/2 (* k 1/2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (* k 1/2)) 2))))
  (* (* (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))) (pow n (- 1/2 (* k 1/2))))
  (* (sqrt (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))) (pow n (- 1/2 (* k 1/2))))
  (/ (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2))))) (fabs (cbrt k)))
  (/ (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))
  (/ (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow PI (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* k 1/2)))) (pow n (- 1/2 (* k 1/2))))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (* k 1/2))) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2))))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (fabs (cbrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (sqrt PI) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (sqrt PI) (pow n (- 1/2 (* k 1/2))))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (fabs (cbrt k))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (sqrt PI) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/2 (* k 1/2))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (sqrt PI) (pow n (- 1/2 (* k 1/2))))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (cbrt (sqrt k))))
  (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (/ (pow (sqrt PI) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))) (cbrt (sqrt k)))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (fabs (cbrt k)))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))
  (/ (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow (sqrt PI) (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))
  (/ (pow n (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (* k 1/2)))
  (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (* k 1/2)))
  (* (pow n (- 1/2 (* k 1/2))) (* (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (sqrt k)))))
  (* (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2))))) (fabs (cbrt k))) (pow n (- 1/2 (* k 1/2))))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))))
  (/ (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* k 1/2))))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (fabs (cbrt k)))
  (/ (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2)))))
  (/ (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (pow n (- 1/2 (* k 1/2)))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2)))))
  (/ (pow n (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (* k 1/2))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (* k 1/2)))
  (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (* k 1/2)))
  (* (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2))) (fabs (cbrt k)))
  (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2)))
  (* (/ (pow PI (/ (- 1/2 (* k 1/2)) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/2 (* k 1/2))) (pow PI (/ (- 1/2 (* k 1/2)) 2)))
  (pow n (- 1/2 (* k 1/2)))
  (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (* k (+ -1/2 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (* k (+ -1/2 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow n (* k (+ -1/2 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (* k -1/2))) (sqrt k))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (pow n (* k -1/2))) (sqrt k))
  (* (pow (cbrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (* (pow (sqrt n) (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (sqrt (pow n (- 1/2 (* k 1/2))))) (sqrt k))
  (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k))
  (* (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)) (pow n (/ (- 1/2 (* k 1/2)) 2)))
  (* (pow PI (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))
  (/ (* (pow PI (- 1/2 (* k 1/2))) (sqrt n)) (sqrt k))
  (real->posit16 (/ (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt k)))
  (- (fma 1/8 (* (* (sqrt n) (* (log n) (log n))) (* k k)) (sqrt n)) (* (* 1/2 (sqrt n)) (* k (log n))))
  (exp (- (* (- 1/2 (* k 1/2)) (- (log n)))))
  (exp (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n))))
  (+ (sqrt PI) (* (sqrt PI) (- (* (* 1/8 (* k k)) (* (log PI) (log PI))) (* 1/2 (* k (log PI))))))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (- (+ (- (* (* (* n k) PI) (* (sqrt 2) +nan.0)) (* (sqrt 2) (* (* n PI) +nan.0))) (- (* (* (log 2) (sqrt 2)) (* (* (* n k) PI) +nan.0)) (+ (- (* (* (sqrt 2) (* (* n PI) +nan.0)) (* k (log n))) (* (* (sqrt 2) (* (* n PI) +nan.0)) (* k (log PI)))) (* (* (* n PI) (* n PI)) (* (sqrt 2) +nan.0))))))
  (- (+ (- (/ (* +nan.0 (* (exp (+ (- (* (- 1/2 (* k 1/2)) (- (log n)))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2))))) (* k (* k k))) (* (/ (* (exp (+ (- (* (- 1/2 (* k 1/2)) (- (log n)))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2)))) k) +nan.0)) (* (/ +nan.0 k) (/ (* (exp (+ (- (* (- 1/2 (* k 1/2)) (- (log n)))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2)))) k))))
  (- (- (* (* (exp (+ (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2)))) +nan.0) (* +nan.0 (- (/ (* (exp (+ (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2)))) (* k k)) (/ (* (exp (+ (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* k 1/2))))) (pow PI (- 1/2 (* k 1/2)))) k)))))
  (- (fma (* +nan.0 (sqrt (* n PI))) (* (* k k) (log n)) (- (fma (* +nan.0 (sqrt (* n PI))) (* (log PI) (* k k)) (- (- (* +nan.0 (sqrt (* n PI))) (fma (* +nan.0 (sqrt (* n PI))) (* (* (log PI) (log PI)) (* k k)) (- (+ (- (* (* +nan.0 (sqrt (* n PI))) k) (* (* (* +nan.0 (sqrt (* n PI))) (log n)) k)) (+ (- (* (* (* +nan.0 (sqrt (* n PI))) (log PI)) (* (* k k) (log n))) (* (* (* +nan.0 (sqrt (* n PI))) (log PI)) k)) (* (* +nan.0 (sqrt (* n PI))) (- (* (* (log n) (log n)) (* k k)) (* k k)))))))))))))
  (+ (* (- +nan.0) (/ (exp (- (* (- 1/2 (* k 1/2)) (- (log n))))) (/ (* k (* k k)) (pow PI (- 1/2 (* k 1/2)))))) (* +nan.0 (- (/ (exp (- (* (- 1/2 (* k 1/2)) (- (log n))))) (/ k (pow PI (- 1/2 (* k 1/2))))) (/ (exp (- (* (- 1/2 (* k 1/2)) (- (log n))))) (/ (* k k) (pow PI (- 1/2 (* k 1/2))))))))
  (+ (/ (- (* (exp (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n)))) (* (pow PI (- 1/2 (* k 1/2))) +nan.0))) k) (- (/ (* (exp (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n)))) (* (pow PI (- 1/2 (* k 1/2))) +nan.0)) (* k k)) (* (exp (* (- 1/2 (* k 1/2)) (+ (- (log -1) (log -1)) (log n)))) (* (pow PI (- 1/2 (* k 1/2))) +nan.0))))
28.632 * * * [progress]: adding candidates to table
30.009 * [progress]: [Phase 3 of 3] Extracting.
30.009 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))> #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))> #<alt (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
30.011 * * * [regime-changes]: Trying 2 branch expressions: (n k)
30.011 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))> #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))> #<alt (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
30.053 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) 1)) (/ (sqrt (exp (* (log PI) (- 1/2 (* k 1/2))))) (sqrt k))))> #<alt (λ (k n) (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (- (* k 1/2)))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k))))> #<alt (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (/ (pow PI (- (* k 1/2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (/ (pow PI (- 1/2 (* k 1/2))) (sqrt k)))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
30.113 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
30.114 * [simplify]: Simplifying:
  (* (pow (* 2 n) (- 1/2 (* k 1/2))) (/ (exp (* (log PI) (- 1/2 (* k 1/2)))) (sqrt k)))
30.114 * * [simplify]: iteration 0: 15 enodes
30.115 * * [simplify]: iteration 1: 19 enodes
30.116 * * [simplify]: iteration complete: 19 enodes
30.116 * * [simplify]: Extracting #0: cost 1 inf + 0
30.116 * * [simplify]: Extracting #1: cost 3 inf + 0
30.116 * * [simplify]: Extracting #2: cost 7 inf + 0
30.116 * * [simplify]: Extracting #3: cost 13 inf + 0
30.116 * * [simplify]: Extracting #4: cost 8 inf + 87
30.116 * * [simplify]: Extracting #5: cost 6 inf + 545
30.116 * * [simplify]: Extracting #6: cost 4 inf + 617
30.116 * * [simplify]: Extracting #7: cost 1 inf + 1416
30.116 * * [simplify]: Extracting #8: cost 0 inf + 2051
30.117 * [simplify]: Simplified to:
  (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* 1/2 k)))) (sqrt k)))
36.262 * [regime-testing]: Baseline error score: 0.37822972420123646
36.264 * [regime-testing]: Oracle error score: 0.04420351365299491
36.268 * [regime-testing]: End program error score: 0.37822972420123646