59.968 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.241 * * * [progress]: [2/2] Setting up program.
0.244 * [progress]: [Phase 2 of 3] Improving.
0.244 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.244 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.245 * * [simplify]: iteration 0: 13 enodes
0.248 * * [simplify]: iteration 1: 31 enodes
0.254 * * [simplify]: iteration 2: 62 enodes
0.267 * * [simplify]: iteration 3: 124 enodes
0.312 * * [simplify]: iteration 4: 328 enodes
0.653 * * [simplify]: iteration 5: 970 enodes
1.012 * * [simplify]: iteration 6: 2026 enodes
1.412 * * [simplify]: iteration complete: 2026 enodes
1.412 * * [simplify]: Extracting #0: cost 1 inf + 0
1.413 * * [simplify]: Extracting #1: cost 86 inf + 0
1.413 * * [simplify]: Extracting #2: cost 311 inf + 1
1.415 * * [simplify]: Extracting #3: cost 435 inf + 46
1.417 * * [simplify]: Extracting #4: cost 405 inf + 4118
1.427 * * [simplify]: Extracting #5: cost 293 inf + 28237
1.446 * * [simplify]: Extracting #6: cost 140 inf + 129132
1.482 * * [simplify]: Extracting #7: cost 9 inf + 256512
1.528 * * [simplify]: Extracting #8: cost 0 inf + 265066
1.578 * * [simplify]: Extracting #9: cost 0 inf + 265063
1.630 * * [simplify]: Extracting #10: cost 0 inf + 264810
1.702 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
1.709 * * [progress]: iteration 1 / 4
1.709 * * * [progress]: picking best candidate
1.714 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1.714 * * * [progress]: localizing error
1.737 * * * [progress]: generating rewritten candidates
1.737 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.767 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.780 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.820 * * * [progress]: generating series expansions
1.820 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.822 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.822 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.822 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.822 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.822 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.822 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.822 * [taylor]: Taking taylor expansion of 1/2 in k
1.822 * [backup-simplify]: Simplify 1/2 into 1/2
1.822 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.822 * [taylor]: Taking taylor expansion of 1/2 in k
1.822 * [backup-simplify]: Simplify 1/2 into 1/2
1.822 * [taylor]: Taking taylor expansion of k in k
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.822 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.822 * [taylor]: Taking taylor expansion of 2 in k
1.822 * [backup-simplify]: Simplify 2 into 2
1.822 * [taylor]: Taking taylor expansion of (* n PI) in k
1.822 * [taylor]: Taking taylor expansion of n in k
1.822 * [backup-simplify]: Simplify n into n
1.822 * [taylor]: Taking taylor expansion of PI in k
1.822 * [backup-simplify]: Simplify PI into PI
1.822 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.822 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.822 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.823 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.823 * [backup-simplify]: Simplify (- 0) into 0
1.824 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.824 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.824 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.824 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.824 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.824 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.824 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.824 * [taylor]: Taking taylor expansion of 1/2 in n
1.824 * [backup-simplify]: Simplify 1/2 into 1/2
1.824 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.824 * [taylor]: Taking taylor expansion of 1/2 in n
1.824 * [backup-simplify]: Simplify 1/2 into 1/2
1.824 * [taylor]: Taking taylor expansion of k in n
1.824 * [backup-simplify]: Simplify k into k
1.825 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.825 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.825 * [taylor]: Taking taylor expansion of 2 in n
1.825 * [backup-simplify]: Simplify 2 into 2
1.825 * [taylor]: Taking taylor expansion of (* n PI) in n
1.825 * [taylor]: Taking taylor expansion of n in n
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [taylor]: Taking taylor expansion of PI in n
1.825 * [backup-simplify]: Simplify PI into PI
1.825 * [backup-simplify]: Simplify (* 0 PI) into 0
1.826 * [backup-simplify]: Simplify (* 2 0) into 0
1.827 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.829 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.830 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.830 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.830 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.830 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.831 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.832 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.832 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.833 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.833 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.833 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.833 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.833 * [taylor]: Taking taylor expansion of 1/2 in n
1.833 * [backup-simplify]: Simplify 1/2 into 1/2
1.833 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.833 * [taylor]: Taking taylor expansion of 1/2 in n
1.833 * [backup-simplify]: Simplify 1/2 into 1/2
1.833 * [taylor]: Taking taylor expansion of k in n
1.833 * [backup-simplify]: Simplify k into k
1.833 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.833 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.833 * [taylor]: Taking taylor expansion of 2 in n
1.833 * [backup-simplify]: Simplify 2 into 2
1.833 * [taylor]: Taking taylor expansion of (* n PI) in n
1.833 * [taylor]: Taking taylor expansion of n in n
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [taylor]: Taking taylor expansion of PI in n
1.833 * [backup-simplify]: Simplify PI into PI
1.833 * [backup-simplify]: Simplify (* 0 PI) into 0
1.833 * [backup-simplify]: Simplify (* 2 0) into 0
1.835 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.836 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.836 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.836 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.836 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.836 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.838 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.839 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.839 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1.839 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1.839 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.839 * [taylor]: Taking taylor expansion of 1/2 in k
1.839 * [backup-simplify]: Simplify 1/2 into 1/2
1.839 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.839 * [taylor]: Taking taylor expansion of 1/2 in k
1.839 * [backup-simplify]: Simplify 1/2 into 1/2
1.839 * [taylor]: Taking taylor expansion of k in k
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.839 * [taylor]: Taking taylor expansion of (log n) in k
1.839 * [taylor]: Taking taylor expansion of n in k
1.839 * [backup-simplify]: Simplify n into n
1.839 * [backup-simplify]: Simplify (log n) into (log n)
1.839 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.839 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.839 * [taylor]: Taking taylor expansion of 2 in k
1.839 * [backup-simplify]: Simplify 2 into 2
1.839 * [taylor]: Taking taylor expansion of PI in k
1.839 * [backup-simplify]: Simplify PI into PI
1.839 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.840 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.840 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.841 * [backup-simplify]: Simplify (- 0) into 0
1.841 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.841 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.842 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.843 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.843 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1.846 * [backup-simplify]: Simplify (- 0) into 0
1.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1.848 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.848 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.849 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.849 * [taylor]: Taking taylor expansion of 0 in k
1.849 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.852 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.853 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1.857 * [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)))))))
1.860 * [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)))))))
1.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.866 * [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
1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1.867 * [backup-simplify]: Simplify (- 0) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.871 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.874 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.874 * [taylor]: Taking taylor expansion of 0 in k
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.880 * [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
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.882 * [backup-simplify]: Simplify (- 0) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.889 * [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)))))
1.894 * [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)))))
1.910 * [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)))))
1.910 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1.910 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1.910 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1.910 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.910 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.910 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1.910 * [taylor]: Taking taylor expansion of 1/2 in k
1.910 * [backup-simplify]: Simplify 1/2 into 1/2
1.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.910 * [taylor]: Taking taylor expansion of 1/2 in k
1.910 * [backup-simplify]: Simplify 1/2 into 1/2
1.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.910 * [taylor]: Taking taylor expansion of k in k
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (/ 1 1) into 1
1.911 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.911 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.911 * [taylor]: Taking taylor expansion of 2 in k
1.911 * [backup-simplify]: Simplify 2 into 2
1.911 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.911 * [taylor]: Taking taylor expansion of PI in k
1.911 * [backup-simplify]: Simplify PI into PI
1.911 * [taylor]: Taking taylor expansion of n in k
1.911 * [backup-simplify]: Simplify n into n
1.911 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.911 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.911 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.911 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.911 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.912 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.912 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.912 * [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))))
1.912 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1.912 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.912 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.912 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1.912 * [taylor]: Taking taylor expansion of 1/2 in n
1.912 * [backup-simplify]: Simplify 1/2 into 1/2
1.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.912 * [taylor]: Taking taylor expansion of 1/2 in n
1.912 * [backup-simplify]: Simplify 1/2 into 1/2
1.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.912 * [taylor]: Taking taylor expansion of k in n
1.912 * [backup-simplify]: Simplify k into k
1.912 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.912 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.912 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.912 * [taylor]: Taking taylor expansion of 2 in n
1.912 * [backup-simplify]: Simplify 2 into 2
1.912 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.912 * [taylor]: Taking taylor expansion of PI in n
1.912 * [backup-simplify]: Simplify PI into PI
1.912 * [taylor]: Taking taylor expansion of n in n
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.913 * [backup-simplify]: Simplify (/ PI 1) into PI
1.913 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.914 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.914 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1.914 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.915 * [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)))
1.916 * [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))))
1.916 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1.916 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.916 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.916 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1.916 * [taylor]: Taking taylor expansion of 1/2 in n
1.916 * [backup-simplify]: Simplify 1/2 into 1/2
1.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.916 * [taylor]: Taking taylor expansion of 1/2 in n
1.916 * [backup-simplify]: Simplify 1/2 into 1/2
1.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.916 * [taylor]: Taking taylor expansion of k in n
1.916 * [backup-simplify]: Simplify k into k
1.916 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.916 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.916 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.916 * [taylor]: Taking taylor expansion of 2 in n
1.916 * [backup-simplify]: Simplify 2 into 2
1.916 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.916 * [taylor]: Taking taylor expansion of PI in n
1.916 * [backup-simplify]: Simplify PI into PI
1.916 * [taylor]: Taking taylor expansion of n in n
1.916 * [backup-simplify]: Simplify 0 into 0
1.916 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify (/ PI 1) into PI
1.917 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.918 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.918 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1.918 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.920 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1.920 * [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))))
1.920 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1.920 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1.920 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1.920 * [taylor]: Taking taylor expansion of 1/2 in k
1.920 * [backup-simplify]: Simplify 1/2 into 1/2
1.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.920 * [taylor]: Taking taylor expansion of 1/2 in k
1.920 * [backup-simplify]: Simplify 1/2 into 1/2
1.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.921 * [taylor]: Taking taylor expansion of k in k
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [backup-simplify]: Simplify (/ 1 1) into 1
1.921 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.921 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.921 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.921 * [taylor]: Taking taylor expansion of 2 in k
1.921 * [backup-simplify]: Simplify 2 into 2
1.921 * [taylor]: Taking taylor expansion of PI in k
1.921 * [backup-simplify]: Simplify PI into PI
1.921 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.922 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.922 * [taylor]: Taking taylor expansion of (log n) in k
1.922 * [taylor]: Taking taylor expansion of n in k
1.922 * [backup-simplify]: Simplify n into n
1.922 * [backup-simplify]: Simplify (log n) into (log n)
1.922 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.922 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.923 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.923 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.923 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.924 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.925 * [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))))
1.925 * [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))))
1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1.928 * [backup-simplify]: Simplify (- 0) into 0
1.928 * [backup-simplify]: Simplify (+ 0 0) into 0
1.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.930 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.931 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.931 * [taylor]: Taking taylor expansion of 0 in k
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.935 * [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
1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1.937 * [backup-simplify]: Simplify (- 0) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.940 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.941 * [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
1.941 * [taylor]: Taking taylor expansion of 0 in k
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.946 * [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
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1.947 * [backup-simplify]: Simplify (- 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.949 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.951 * [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
1.951 * [taylor]: Taking taylor expansion of 0 in k
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.952 * [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)))))
1.952 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1.952 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1.952 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1.952 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1.952 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1.952 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.952 * [taylor]: Taking taylor expansion of 1/2 in k
1.952 * [backup-simplify]: Simplify 1/2 into 1/2
1.952 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.952 * [taylor]: Taking taylor expansion of k in k
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.953 * [backup-simplify]: Simplify (/ 1 1) into 1
1.953 * [taylor]: Taking taylor expansion of 1/2 in k
1.953 * [backup-simplify]: Simplify 1/2 into 1/2
1.953 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.953 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.953 * [taylor]: Taking taylor expansion of -2 in k
1.953 * [backup-simplify]: Simplify -2 into -2
1.953 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.953 * [taylor]: Taking taylor expansion of PI in k
1.953 * [backup-simplify]: Simplify PI into PI
1.953 * [taylor]: Taking taylor expansion of n in k
1.953 * [backup-simplify]: Simplify n into n
1.953 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.953 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.953 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.953 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.953 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.953 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.954 * [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)))
1.954 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1.954 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1.954 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1.954 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.954 * [taylor]: Taking taylor expansion of 1/2 in n
1.954 * [backup-simplify]: Simplify 1/2 into 1/2
1.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.954 * [taylor]: Taking taylor expansion of k in n
1.954 * [backup-simplify]: Simplify k into k
1.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.954 * [taylor]: Taking taylor expansion of 1/2 in n
1.954 * [backup-simplify]: Simplify 1/2 into 1/2
1.954 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.954 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.954 * [taylor]: Taking taylor expansion of -2 in n
1.954 * [backup-simplify]: Simplify -2 into -2
1.954 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.954 * [taylor]: Taking taylor expansion of PI in n
1.954 * [backup-simplify]: Simplify PI into PI
1.954 * [taylor]: Taking taylor expansion of n in n
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 1 into 1
1.954 * [backup-simplify]: Simplify (/ PI 1) into PI
1.955 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.955 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.955 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.955 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.957 * [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)))
1.958 * [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))))
1.958 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1.958 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1.958 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1.958 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.958 * [taylor]: Taking taylor expansion of 1/2 in n
1.958 * [backup-simplify]: Simplify 1/2 into 1/2
1.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.958 * [taylor]: Taking taylor expansion of k in n
1.958 * [backup-simplify]: Simplify k into k
1.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.958 * [taylor]: Taking taylor expansion of 1/2 in n
1.958 * [backup-simplify]: Simplify 1/2 into 1/2
1.958 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.958 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.958 * [taylor]: Taking taylor expansion of -2 in n
1.958 * [backup-simplify]: Simplify -2 into -2
1.958 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.958 * [taylor]: Taking taylor expansion of PI in n
1.958 * [backup-simplify]: Simplify PI into PI
1.958 * [taylor]: Taking taylor expansion of n in n
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (/ PI 1) into PI
1.959 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.960 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.960 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.960 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.961 * [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)))
1.962 * [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))))
1.962 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1.962 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1.962 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.962 * [taylor]: Taking taylor expansion of 1/2 in k
1.962 * [backup-simplify]: Simplify 1/2 into 1/2
1.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.962 * [taylor]: Taking taylor expansion of k in k
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [taylor]: Taking taylor expansion of 1/2 in k
1.963 * [backup-simplify]: Simplify 1/2 into 1/2
1.963 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.963 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.963 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.963 * [taylor]: Taking taylor expansion of -2 in k
1.963 * [backup-simplify]: Simplify -2 into -2
1.963 * [taylor]: Taking taylor expansion of PI in k
1.963 * [backup-simplify]: Simplify PI into PI
1.963 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.964 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.964 * [taylor]: Taking taylor expansion of (log n) in k
1.964 * [taylor]: Taking taylor expansion of n in k
1.964 * [backup-simplify]: Simplify n into n
1.964 * [backup-simplify]: Simplify (log n) into (log n)
1.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.964 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.964 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.965 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.966 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.966 * [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))))
1.967 * [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))))
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.973 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.975 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.975 * [taylor]: Taking taylor expansion of 0 in k
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.977 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.981 * [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
1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.986 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.988 * [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
1.988 * [taylor]: Taking taylor expansion of 0 in k
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.997 * [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
1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.003 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.005 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.005 * [taylor]: Taking taylor expansion of 0 in k
2.005 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.007 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.007 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.007 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.007 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.008 * [taylor]: Taking taylor expansion of 2 in n
2.008 * [backup-simplify]: Simplify 2 into 2
2.008 * [taylor]: Taking taylor expansion of (* n PI) in n
2.008 * [taylor]: Taking taylor expansion of n in n
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [taylor]: Taking taylor expansion of PI in n
2.008 * [backup-simplify]: Simplify PI into PI
2.008 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.008 * [taylor]: Taking taylor expansion of 2 in n
2.008 * [backup-simplify]: Simplify 2 into 2
2.008 * [taylor]: Taking taylor expansion of (* n PI) in n
2.008 * [taylor]: Taking taylor expansion of n in n
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [taylor]: Taking taylor expansion of PI in n
2.008 * [backup-simplify]: Simplify PI into PI
2.008 * [backup-simplify]: Simplify (* 0 PI) into 0
2.009 * [backup-simplify]: Simplify (* 2 0) into 0
2.009 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.015 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.015 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.017 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.020 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.023 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.026 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.035 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.035 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.035 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.035 * [taylor]: Taking taylor expansion of 2 in n
2.035 * [backup-simplify]: Simplify 2 into 2
2.035 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.035 * [taylor]: Taking taylor expansion of PI in n
2.035 * [backup-simplify]: Simplify PI into PI
2.035 * [taylor]: Taking taylor expansion of n in n
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (/ PI 1) into PI
2.036 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.036 * [taylor]: Taking taylor expansion of 2 in n
2.036 * [backup-simplify]: Simplify 2 into 2
2.036 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.036 * [taylor]: Taking taylor expansion of PI in n
2.036 * [backup-simplify]: Simplify PI into PI
2.036 * [taylor]: Taking taylor expansion of n in n
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ PI 1) into PI
2.037 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.038 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.041 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.044 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.054 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.054 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.054 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.054 * [taylor]: Taking taylor expansion of -2 in n
2.054 * [backup-simplify]: Simplify -2 into -2
2.054 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.054 * [taylor]: Taking taylor expansion of PI in n
2.054 * [backup-simplify]: Simplify PI into PI
2.054 * [taylor]: Taking taylor expansion of n in n
2.054 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify 1 into 1
2.055 * [backup-simplify]: Simplify (/ PI 1) into PI
2.055 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.055 * [taylor]: Taking taylor expansion of -2 in n
2.055 * [backup-simplify]: Simplify -2 into -2
2.055 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.055 * [taylor]: Taking taylor expansion of PI in n
2.055 * [backup-simplify]: Simplify PI into PI
2.055 * [taylor]: Taking taylor expansion of n in n
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (/ PI 1) into PI
2.056 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.057 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.061 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.061 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.063 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.065 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.065 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.068 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.071 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.072 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.072 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.073 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.073 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.073 * [taylor]: Taking taylor expansion of k in k
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [backup-simplify]: Simplify (/ 1 1) into 1
2.073 * [backup-simplify]: Simplify (sqrt 0) into 0
2.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.075 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.075 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.075 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.075 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.075 * [taylor]: Taking taylor expansion of 1/2 in k
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.075 * [taylor]: Taking taylor expansion of 1/2 in k
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of k in k
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.075 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.075 * [taylor]: Taking taylor expansion of 2 in k
2.075 * [backup-simplify]: Simplify 2 into 2
2.075 * [taylor]: Taking taylor expansion of (* n PI) in k
2.075 * [taylor]: Taking taylor expansion of n in k
2.075 * [backup-simplify]: Simplify n into n
2.075 * [taylor]: Taking taylor expansion of PI in k
2.075 * [backup-simplify]: Simplify PI into PI
2.075 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.075 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.076 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.076 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.076 * [backup-simplify]: Simplify (- 0) into 0
2.077 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.077 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.077 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.077 * [taylor]: Taking taylor expansion of k in n
2.077 * [backup-simplify]: Simplify k into k
2.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.077 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.077 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.077 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.078 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.078 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.078 * [taylor]: Taking taylor expansion of 1/2 in n
2.078 * [backup-simplify]: Simplify 1/2 into 1/2
2.078 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.078 * [taylor]: Taking taylor expansion of 1/2 in n
2.078 * [backup-simplify]: Simplify 1/2 into 1/2
2.078 * [taylor]: Taking taylor expansion of k in n
2.078 * [backup-simplify]: Simplify k into k
2.078 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.078 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.078 * [taylor]: Taking taylor expansion of 2 in n
2.078 * [backup-simplify]: Simplify 2 into 2
2.078 * [taylor]: Taking taylor expansion of (* n PI) in n
2.078 * [taylor]: Taking taylor expansion of n in n
2.078 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify 1 into 1
2.078 * [taylor]: Taking taylor expansion of PI in n
2.078 * [backup-simplify]: Simplify PI into PI
2.078 * [backup-simplify]: Simplify (* 0 PI) into 0
2.079 * [backup-simplify]: Simplify (* 2 0) into 0
2.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.082 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.083 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.083 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.083 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.083 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.085 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.086 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.087 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.087 * [taylor]: Taking taylor expansion of k in n
2.087 * [backup-simplify]: Simplify k into k
2.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.087 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.088 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.088 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.088 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.088 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.088 * [taylor]: Taking taylor expansion of 1/2 in n
2.088 * [backup-simplify]: Simplify 1/2 into 1/2
2.088 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.088 * [taylor]: Taking taylor expansion of 1/2 in n
2.088 * [backup-simplify]: Simplify 1/2 into 1/2
2.088 * [taylor]: Taking taylor expansion of k in n
2.088 * [backup-simplify]: Simplify k into k
2.088 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.088 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.088 * [taylor]: Taking taylor expansion of 2 in n
2.088 * [backup-simplify]: Simplify 2 into 2
2.088 * [taylor]: Taking taylor expansion of (* n PI) in n
2.088 * [taylor]: Taking taylor expansion of n in n
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [taylor]: Taking taylor expansion of PI in n
2.088 * [backup-simplify]: Simplify PI into PI
2.088 * [backup-simplify]: Simplify (* 0 PI) into 0
2.089 * [backup-simplify]: Simplify (* 2 0) into 0
2.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.092 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.093 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.093 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.093 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.093 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.096 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.097 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.098 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.098 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.098 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.098 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.098 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.098 * [taylor]: Taking taylor expansion of 1/2 in k
2.099 * [backup-simplify]: Simplify 1/2 into 1/2
2.099 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.099 * [taylor]: Taking taylor expansion of 1/2 in k
2.099 * [backup-simplify]: Simplify 1/2 into 1/2
2.099 * [taylor]: Taking taylor expansion of k in k
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 1 into 1
2.099 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.099 * [taylor]: Taking taylor expansion of (log n) in k
2.099 * [taylor]: Taking taylor expansion of n in k
2.099 * [backup-simplify]: Simplify n into n
2.099 * [backup-simplify]: Simplify (log n) into (log n)
2.099 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.099 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.099 * [taylor]: Taking taylor expansion of 2 in k
2.099 * [backup-simplify]: Simplify 2 into 2
2.099 * [taylor]: Taking taylor expansion of PI in k
2.099 * [backup-simplify]: Simplify PI into PI
2.099 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.100 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.101 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.101 * [backup-simplify]: Simplify (- 0) into 0
2.102 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.103 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.104 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.105 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.105 * [taylor]: Taking taylor expansion of k in k
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (/ 1 1) into 1
2.106 * [backup-simplify]: Simplify (sqrt 0) into 0
2.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.109 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.113 * [backup-simplify]: Simplify (- 0) into 0
2.114 * [backup-simplify]: Simplify (+ 0 0) into 0
2.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.116 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.118 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.120 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.120 * [taylor]: Taking taylor expansion of 0 in k
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.121 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.124 * [backup-simplify]: Simplify (+ 0 0) into 0
2.124 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.125 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.125 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.130 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.132 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.133 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.137 * [backup-simplify]: Simplify (- 0) into 0
2.137 * [backup-simplify]: Simplify (+ 0 0) into 0
2.138 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.139 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.140 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.142 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.142 * [taylor]: Taking taylor expansion of 0 in k
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.150 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.151 * [backup-simplify]: Simplify (- 0) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.155 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.162 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.167 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.176 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.178 * [backup-simplify]: Simplify (- 0) into 0
2.178 * [backup-simplify]: Simplify (+ 0 0) into 0
2.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.182 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.185 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.187 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.187 * [taylor]: Taking taylor expansion of 0 in k
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.192 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.196 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.196 * [backup-simplify]: Simplify (+ 0 0) into 0
2.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.197 * [backup-simplify]: Simplify (- 0) into 0
2.197 * [backup-simplify]: Simplify (+ 0 0) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.203 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.213 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.222 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.241 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.242 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.242 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.242 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.242 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.242 * [taylor]: Taking taylor expansion of k in k
2.242 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 1 into 1
2.243 * [backup-simplify]: Simplify (sqrt 0) into 0
2.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.244 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.245 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.245 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.245 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.245 * [taylor]: Taking taylor expansion of 1/2 in k
2.245 * [backup-simplify]: Simplify 1/2 into 1/2
2.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.245 * [taylor]: Taking taylor expansion of 1/2 in k
2.245 * [backup-simplify]: Simplify 1/2 into 1/2
2.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.245 * [taylor]: Taking taylor expansion of k in k
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.245 * [backup-simplify]: Simplify (/ 1 1) into 1
2.245 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.245 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.245 * [taylor]: Taking taylor expansion of 2 in k
2.245 * [backup-simplify]: Simplify 2 into 2
2.245 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.245 * [taylor]: Taking taylor expansion of PI in k
2.245 * [backup-simplify]: Simplify PI into PI
2.245 * [taylor]: Taking taylor expansion of n in k
2.245 * [backup-simplify]: Simplify n into n
2.246 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.246 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.246 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.247 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.247 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.247 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.247 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.247 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.247 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.247 * [taylor]: Taking taylor expansion of k in n
2.248 * [backup-simplify]: Simplify k into k
2.248 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.248 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.248 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.248 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.248 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.248 * [taylor]: Taking taylor expansion of 1/2 in n
2.248 * [backup-simplify]: Simplify 1/2 into 1/2
2.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.248 * [taylor]: Taking taylor expansion of 1/2 in n
2.248 * [backup-simplify]: Simplify 1/2 into 1/2
2.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.248 * [taylor]: Taking taylor expansion of k in n
2.248 * [backup-simplify]: Simplify k into k
2.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.248 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.248 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.248 * [taylor]: Taking taylor expansion of 2 in n
2.248 * [backup-simplify]: Simplify 2 into 2
2.248 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.248 * [taylor]: Taking taylor expansion of PI in n
2.248 * [backup-simplify]: Simplify PI into PI
2.248 * [taylor]: Taking taylor expansion of n in n
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 1 into 1
2.249 * [backup-simplify]: Simplify (/ PI 1) into PI
2.249 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.250 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.250 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.250 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.252 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.253 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.253 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.253 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.253 * [taylor]: Taking taylor expansion of k in n
2.253 * [backup-simplify]: Simplify k into k
2.253 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.253 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.253 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.253 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.253 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.253 * [taylor]: Taking taylor expansion of 1/2 in n
2.253 * [backup-simplify]: Simplify 1/2 into 1/2
2.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.253 * [taylor]: Taking taylor expansion of 1/2 in n
2.253 * [backup-simplify]: Simplify 1/2 into 1/2
2.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.253 * [taylor]: Taking taylor expansion of k in n
2.253 * [backup-simplify]: Simplify k into k
2.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.253 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.253 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.253 * [taylor]: Taking taylor expansion of 2 in n
2.253 * [backup-simplify]: Simplify 2 into 2
2.253 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.253 * [taylor]: Taking taylor expansion of PI in n
2.253 * [backup-simplify]: Simplify PI into PI
2.253 * [taylor]: Taking taylor expansion of n in n
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (/ PI 1) into PI
2.254 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.254 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.255 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.255 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.255 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.259 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.260 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.260 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.260 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.261 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.261 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.261 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.261 * [taylor]: Taking taylor expansion of 1/2 in k
2.261 * [backup-simplify]: Simplify 1/2 into 1/2
2.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.261 * [taylor]: Taking taylor expansion of 1/2 in k
2.261 * [backup-simplify]: Simplify 1/2 into 1/2
2.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.261 * [taylor]: Taking taylor expansion of k in k
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 1 into 1
2.261 * [backup-simplify]: Simplify (/ 1 1) into 1
2.261 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.261 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.261 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.261 * [taylor]: Taking taylor expansion of 2 in k
2.261 * [backup-simplify]: Simplify 2 into 2
2.261 * [taylor]: Taking taylor expansion of PI in k
2.261 * [backup-simplify]: Simplify PI into PI
2.261 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.262 * [taylor]: Taking taylor expansion of (log n) in k
2.262 * [taylor]: Taking taylor expansion of n in k
2.262 * [backup-simplify]: Simplify n into n
2.262 * [backup-simplify]: Simplify (log n) into (log n)
2.262 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.263 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.263 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.263 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.264 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.264 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.265 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.265 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.265 * [taylor]: Taking taylor expansion of k in k
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (sqrt 0) into 0
2.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.267 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.270 * [backup-simplify]: Simplify (- 0) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.272 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.273 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.274 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.274 * [taylor]: Taking taylor expansion of 0 in k
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.275 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.281 * [backup-simplify]: Simplify (- 0) into 0
2.281 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.284 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.287 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.289 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.289 * [taylor]: Taking taylor expansion of 0 in k
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.293 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.293 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.298 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.299 * [backup-simplify]: Simplify (- 0) into 0
2.299 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.302 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.303 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.305 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.305 * [taylor]: Taking taylor expansion of 0 in k
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.308 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.309 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.312 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.313 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.313 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.313 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.313 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.313 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.313 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.313 * [taylor]: Taking taylor expansion of 1/2 in k
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.313 * [taylor]: Taking taylor expansion of k in k
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [backup-simplify]: Simplify (/ 1 1) into 1
2.313 * [taylor]: Taking taylor expansion of 1/2 in k
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.313 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.313 * [taylor]: Taking taylor expansion of -2 in k
2.313 * [backup-simplify]: Simplify -2 into -2
2.313 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.313 * [taylor]: Taking taylor expansion of PI in k
2.313 * [backup-simplify]: Simplify PI into PI
2.313 * [taylor]: Taking taylor expansion of n in k
2.313 * [backup-simplify]: Simplify n into n
2.313 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.313 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.313 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.314 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.314 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.314 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.314 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.314 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.314 * [taylor]: Taking taylor expansion of -1 in k
2.314 * [backup-simplify]: Simplify -1 into -1
2.314 * [taylor]: Taking taylor expansion of k in k
2.314 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify 1 into 1
2.314 * [backup-simplify]: Simplify (/ -1 1) into -1
2.315 * [backup-simplify]: Simplify (sqrt 0) into 0
2.315 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.316 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.316 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.316 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.316 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.316 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.316 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.316 * [taylor]: Taking taylor expansion of 1/2 in n
2.316 * [backup-simplify]: Simplify 1/2 into 1/2
2.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.316 * [taylor]: Taking taylor expansion of k in n
2.316 * [backup-simplify]: Simplify k into k
2.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.316 * [taylor]: Taking taylor expansion of 1/2 in n
2.316 * [backup-simplify]: Simplify 1/2 into 1/2
2.316 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.316 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.316 * [taylor]: Taking taylor expansion of -2 in n
2.316 * [backup-simplify]: Simplify -2 into -2
2.316 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.316 * [taylor]: Taking taylor expansion of PI in n
2.316 * [backup-simplify]: Simplify PI into PI
2.316 * [taylor]: Taking taylor expansion of n in n
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (/ PI 1) into PI
2.317 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.318 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.318 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.318 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.319 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.320 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.320 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.320 * [taylor]: Taking taylor expansion of -1 in n
2.320 * [backup-simplify]: Simplify -1 into -1
2.320 * [taylor]: Taking taylor expansion of k in n
2.320 * [backup-simplify]: Simplify k into k
2.320 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.320 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.320 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.321 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.321 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.321 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.321 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.321 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.321 * [taylor]: Taking taylor expansion of 1/2 in n
2.321 * [backup-simplify]: Simplify 1/2 into 1/2
2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.321 * [taylor]: Taking taylor expansion of k in n
2.321 * [backup-simplify]: Simplify k into k
2.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.321 * [taylor]: Taking taylor expansion of 1/2 in n
2.321 * [backup-simplify]: Simplify 1/2 into 1/2
2.321 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.321 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.321 * [taylor]: Taking taylor expansion of -2 in n
2.321 * [backup-simplify]: Simplify -2 into -2
2.321 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.321 * [taylor]: Taking taylor expansion of PI in n
2.321 * [backup-simplify]: Simplify PI into PI
2.321 * [taylor]: Taking taylor expansion of n in n
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (/ PI 1) into PI
2.322 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.323 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.323 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.323 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.326 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.327 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.327 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.327 * [taylor]: Taking taylor expansion of -1 in n
2.327 * [backup-simplify]: Simplify -1 into -1
2.327 * [taylor]: Taking taylor expansion of k in n
2.327 * [backup-simplify]: Simplify k into k
2.328 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.328 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.328 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.329 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.329 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.329 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.329 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.329 * [taylor]: Taking taylor expansion of 1/2 in k
2.329 * [backup-simplify]: Simplify 1/2 into 1/2
2.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.329 * [taylor]: Taking taylor expansion of k in k
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.330 * [backup-simplify]: Simplify (/ 1 1) into 1
2.330 * [taylor]: Taking taylor expansion of 1/2 in k
2.330 * [backup-simplify]: Simplify 1/2 into 1/2
2.330 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.330 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.330 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.330 * [taylor]: Taking taylor expansion of -2 in k
2.330 * [backup-simplify]: Simplify -2 into -2
2.330 * [taylor]: Taking taylor expansion of PI in k
2.330 * [backup-simplify]: Simplify PI into PI
2.331 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.332 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.332 * [taylor]: Taking taylor expansion of (log n) in k
2.332 * [taylor]: Taking taylor expansion of n in k
2.332 * [backup-simplify]: Simplify n into n
2.332 * [backup-simplify]: Simplify (log n) into (log n)
2.332 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.333 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.333 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.334 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.335 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.336 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.336 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.336 * [taylor]: Taking taylor expansion of -1 in k
2.336 * [backup-simplify]: Simplify -1 into -1
2.336 * [taylor]: Taking taylor expansion of k in k
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (/ -1 1) into -1
2.337 * [backup-simplify]: Simplify (sqrt 0) into 0
2.338 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.339 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.340 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.341 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.343 * [backup-simplify]: Simplify (+ 0 0) into 0
2.344 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.345 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.346 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.347 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.347 * [taylor]: Taking taylor expansion of 0 in k
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.350 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.351 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.352 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.360 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.361 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.361 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.363 * [taylor]: Taking taylor expansion of 0 in k
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.368 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.369 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.373 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.373 * * * [progress]: simplifying candidates
2.373 * * * * [progress]: [ 1 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.373 * * * * [progress]: [ 2 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.373 * * * * [progress]: [ 3 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.373 * * * * [progress]: [ 4 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.373 * * * * [progress]: [ 5 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.373 * * * * [progress]: [ 6 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.373 * * * * [progress]: [ 7 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.373 * * * * [progress]: [ 8 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 9 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 10 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.374 * * * * [progress]: [ 11 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 12 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 13 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.374 * * * * [progress]: [ 14 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 15 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
2.374 * * * * [progress]: [ 16 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.374 * * * * [progress]: [ 17 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.374 * * * * [progress]: [ 18 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.374 * * * * [progress]: [ 19 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.374 * * * * [progress]: [ 20 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.374 * * * * [progress]: [ 21 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.375 * * * * [progress]: [ 22 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.375 * * * * [progress]: [ 23 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.375 * * * * [progress]: [ 24 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.375 * * * * [progress]: [ 25 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.375 * * * * [progress]: [ 26 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.375 * * * * [progress]: [ 27 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.375 * * * * [progress]: [ 28 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.375 * * * * [progress]: [ 29 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.375 * * * * [progress]: [ 30 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.375 * * * * [progress]: [ 31 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.375 * * * * [progress]: [ 32 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.375 * * * * [progress]: [ 33 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.376 * * * * [progress]: [ 34 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.376 * * * * [progress]: [ 35 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.376 * * * * [progress]: [ 36 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.376 * * * * [progress]: [ 37 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.376 * * * * [progress]: [ 38 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.376 * * * * [progress]: [ 39 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.376 * * * * [progress]: [ 40 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.376 * * * * [progress]: [ 41 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.376 * * * * [progress]: [ 42 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.376 * * * * [progress]: [ 43 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt k)))>
2.376 * * * * [progress]: [ 44 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt k)))>
2.376 * * * * [progress]: [ 45 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.377 * * * * [progress]: [ 46 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt k)))>
2.377 * * * * [progress]: [ 47 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt k)))>
2.377 * * * * [progress]: [ 48 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.377 * * * * [progress]: [ 49 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt k)))>
2.377 * * * * [progress]: [ 50 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt k)))>
2.377 * * * * [progress]: [ 51 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt k)))>
2.377 * * * * [progress]: [ 52 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt k)))>
2.377 * * * * [progress]: [ 53 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))) (sqrt k)))>
2.377 * * * * [progress]: [ 54 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))>
2.377 * * * * [progress]: [ 55 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))>
2.377 * * * * [progress]: [ 56 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.377 * * * * [progress]: [ 57 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.377 * * * * [progress]: [ 58 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.377 * * * * [progress]: [ 59 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.378 * * * * [progress]: [ 60 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 61 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 62 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 63 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 64 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 65 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.378 * * * * [progress]: [ 66 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 67 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.378 * * * * [progress]: [ 68 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 69 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 70 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 71 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 72 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 73 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 74 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.378 * * * * [progress]: [ 75 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 76 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 77 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 78 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 79 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 80 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 81 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 82 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 83 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 84 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 85 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 86 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 87 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 88 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
2.379 * * * * [progress]: [ 89 / 445 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.379 * * * * [progress]: [ 90 / 445 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.379 * * * * [progress]: [ 91 / 445 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.379 * * * * [progress]: [ 92 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.380 * * * * [progress]: [ 93 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.380 * * * * [progress]: [ 94 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.380 * * * * [progress]: [ 95 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.380 * * * * [progress]: [ 96 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.380 * * * * [progress]: [ 97 / 445 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.380 * * * * [progress]: [ 98 / 445 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.380 * * * * [progress]: [ 99 / 445 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.380 * * * * [progress]: [ 100 / 445 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.380 * * * * [progress]: [ 101 / 445 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.380 * * * * [progress]: [ 102 / 445 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.380 * * * * [progress]: [ 103 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.380 * * * * [progress]: [ 104 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.380 * * * * [progress]: [ 105 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.380 * * * * [progress]: [ 106 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.381 * * * * [progress]: [ 107 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.381 * * * * [progress]: [ 108 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.381 * * * * [progress]: [ 109 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.381 * * * * [progress]: [ 110 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.381 * * * * [progress]: [ 111 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.381 * * * * [progress]: [ 112 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.381 * * * * [progress]: [ 113 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.381 * * * * [progress]: [ 114 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.381 * * * * [progress]: [ 115 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.381 * * * * [progress]: [ 116 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.381 * * * * [progress]: [ 117 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.381 * * * * [progress]: [ 118 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.382 * * * * [progress]: [ 119 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.382 * * * * [progress]: [ 120 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.382 * * * * [progress]: [ 121 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.382 * * * * [progress]: [ 122 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.382 * * * * [progress]: [ 123 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.382 * * * * [progress]: [ 124 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.382 * * * * [progress]: [ 125 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.382 * * * * [progress]: [ 126 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.382 * * * * [progress]: [ 127 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.382 * * * * [progress]: [ 128 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.382 * * * * [progress]: [ 129 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.383 * * * * [progress]: [ 130 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.383 * * * * [progress]: [ 131 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.383 * * * * [progress]: [ 132 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.383 * * * * [progress]: [ 133 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.383 * * * * [progress]: [ 134 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.383 * * * * [progress]: [ 135 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.383 * * * * [progress]: [ 136 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.383 * * * * [progress]: [ 137 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.383 * * * * [progress]: [ 138 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.383 * * * * [progress]: [ 139 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.384 * * * * [progress]: [ 140 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.384 * * * * [progress]: [ 141 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.384 * * * * [progress]: [ 142 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.384 * * * * [progress]: [ 143 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.384 * * * * [progress]: [ 144 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.384 * * * * [progress]: [ 145 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.384 * * * * [progress]: [ 146 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.384 * * * * [progress]: [ 147 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.384 * * * * [progress]: [ 148 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.384 * * * * [progress]: [ 149 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.384 * * * * [progress]: [ 150 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.385 * * * * [progress]: [ 151 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.385 * * * * [progress]: [ 152 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.385 * * * * [progress]: [ 153 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.385 * * * * [progress]: [ 154 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.385 * * * * [progress]: [ 155 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.385 * * * * [progress]: [ 156 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.385 * * * * [progress]: [ 157 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.385 * * * * [progress]: [ 158 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.386 * * * * [progress]: [ 159 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.386 * * * * [progress]: [ 160 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.386 * * * * [progress]: [ 161 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.386 * * * * [progress]: [ 162 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.386 * * * * [progress]: [ 163 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.386 * * * * [progress]: [ 164 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.386 * * * * [progress]: [ 165 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.386 * * * * [progress]: [ 166 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.386 * * * * [progress]: [ 167 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.386 * * * * [progress]: [ 168 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.386 * * * * [progress]: [ 169 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.386 * * * * [progress]: [ 170 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.387 * * * * [progress]: [ 171 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.387 * * * * [progress]: [ 172 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.387 * * * * [progress]: [ 173 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.387 * * * * [progress]: [ 174 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.387 * * * * [progress]: [ 175 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.387 * * * * [progress]: [ 176 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.387 * * * * [progress]: [ 177 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.387 * * * * [progress]: [ 178 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.387 * * * * [progress]: [ 179 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.387 * * * * [progress]: [ 180 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.387 * * * * [progress]: [ 181 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.387 * * * * [progress]: [ 182 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.387 * * * * [progress]: [ 183 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.387 * * * * [progress]: [ 184 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.388 * * * * [progress]: [ 185 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.388 * * * * [progress]: [ 186 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.388 * * * * [progress]: [ 187 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.388 * * * * [progress]: [ 188 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.388 * * * * [progress]: [ 189 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.388 * * * * [progress]: [ 190 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.388 * * * * [progress]: [ 191 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.388 * * * * [progress]: [ 192 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.388 * * * * [progress]: [ 193 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.388 * * * * [progress]: [ 194 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.389 * * * * [progress]: [ 195 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.389 * * * * [progress]: [ 196 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.389 * * * * [progress]: [ 197 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.389 * * * * [progress]: [ 198 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.389 * * * * [progress]: [ 199 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.389 * * * * [progress]: [ 200 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.389 * * * * [progress]: [ 201 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.389 * * * * [progress]: [ 202 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.390 * * * * [progress]: [ 203 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.390 * * * * [progress]: [ 204 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.390 * * * * [progress]: [ 205 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.390 * * * * [progress]: [ 206 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.390 * * * * [progress]: [ 207 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.390 * * * * [progress]: [ 208 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.390 * * * * [progress]: [ 209 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.390 * * * * [progress]: [ 210 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.390 * * * * [progress]: [ 211 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.390 * * * * [progress]: [ 212 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.390 * * * * [progress]: [ 213 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.390 * * * * [progress]: [ 214 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.391 * * * * [progress]: [ 215 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.391 * * * * [progress]: [ 216 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.391 * * * * [progress]: [ 217 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.391 * * * * [progress]: [ 218 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.391 * * * * [progress]: [ 219 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.391 * * * * [progress]: [ 220 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.391 * * * * [progress]: [ 221 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.391 * * * * [progress]: [ 222 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.391 * * * * [progress]: [ 223 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.391 * * * * [progress]: [ 224 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.391 * * * * [progress]: [ 225 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.392 * * * * [progress]: [ 226 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.392 * * * * [progress]: [ 227 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.392 * * * * [progress]: [ 228 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.392 * * * * [progress]: [ 229 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.392 * * * * [progress]: [ 230 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.392 * * * * [progress]: [ 231 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.392 * * * * [progress]: [ 232 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.392 * * * * [progress]: [ 233 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.392 * * * * [progress]: [ 234 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.392 * * * * [progress]: [ 235 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.392 * * * * [progress]: [ 236 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.392 * * * * [progress]: [ 237 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.392 * * * * [progress]: [ 238 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.393 * * * * [progress]: [ 239 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.393 * * * * [progress]: [ 240 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.393 * * * * [progress]: [ 241 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.393 * * * * [progress]: [ 242 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.393 * * * * [progress]: [ 243 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.393 * * * * [progress]: [ 244 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.393 * * * * [progress]: [ 245 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.393 * * * * [progress]: [ 246 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.393 * * * * [progress]: [ 247 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.393 * * * * [progress]: [ 248 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.393 * * * * [progress]: [ 249 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.393 * * * * [progress]: [ 250 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.394 * * * * [progress]: [ 251 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.394 * * * * [progress]: [ 252 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.394 * * * * [progress]: [ 253 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.394 * * * * [progress]: [ 254 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.394 * * * * [progress]: [ 255 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.394 * * * * [progress]: [ 256 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.394 * * * * [progress]: [ 257 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.394 * * * * [progress]: [ 258 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.394 * * * * [progress]: [ 259 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.394 * * * * [progress]: [ 260 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))))>
2.394 * * * * [progress]: [ 261 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))))>
2.394 * * * * [progress]: [ 262 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.394 * * * * [progress]: [ 263 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.395 * * * * [progress]: [ 264 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))))>
2.395 * * * * [progress]: [ 265 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))))>
2.395 * * * * [progress]: [ 266 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
2.395 * * * * [progress]: [ 267 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
2.395 * * * * [progress]: [ 268 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.395 * * * * [progress]: [ 269 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.395 * * * * [progress]: [ 270 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
2.395 * * * * [progress]: [ 271 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))>
2.395 * * * * [progress]: [ 272 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.395 * * * * [progress]: [ 273 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.395 * * * * [progress]: [ 274 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.395 * * * * [progress]: [ 275 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.396 * * * * [progress]: [ 276 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.396 * * * * [progress]: [ 277 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.396 * * * * [progress]: [ 278 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (cbrt (sqrt k)))))>
2.396 * * * * [progress]: [ 279 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (cbrt k)))))>
2.396 * * * * [progress]: [ 280 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.396 * * * * [progress]: [ 281 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.396 * * * * [progress]: [ 282 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt (sqrt k)))))>
2.396 * * * * [progress]: [ 283 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))) (sqrt k))))>
2.396 * * * * [progress]: [ 284 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))>
2.396 * * * * [progress]: [ 285 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))>
2.396 * * * * [progress]: [ 286 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.396 * * * * [progress]: [ 287 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.397 * * * * [progress]: [ 288 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 289 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))>
2.397 * * * * [progress]: [ 290 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.397 * * * * [progress]: [ 291 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.397 * * * * [progress]: [ 292 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 293 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.397 * * * * [progress]: [ 294 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 295 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.397 * * * * [progress]: [ 296 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))>
2.397 * * * * [progress]: [ 297 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))>
2.397 * * * * [progress]: [ 298 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.397 * * * * [progress]: [ 299 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.398 * * * * [progress]: [ 300 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 301 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
2.398 * * * * [progress]: [ 302 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))>
2.398 * * * * [progress]: [ 303 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))>
2.398 * * * * [progress]: [ 304 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 305 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.398 * * * * [progress]: [ 306 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))>
2.398 * * * * [progress]: [ 307 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))>
2.398 * * * * [progress]: [ 308 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))>
2.398 * * * * [progress]: [ 309 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))>
2.398 * * * * [progress]: [ 310 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 311 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.399 * * * * [progress]: [ 312 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 313 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))>
2.399 * * * * [progress]: [ 314 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))>
2.399 * * * * [progress]: [ 315 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))>
2.399 * * * * [progress]: [ 316 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 317 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.399 * * * * [progress]: [ 318 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))>
2.399 * * * * [progress]: [ 319 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))>
2.399 * * * * [progress]: [ 320 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))>
2.400 * * * * [progress]: [ 321 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))>
2.400 * * * * [progress]: [ 322 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.400 * * * * [progress]: [ 323 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.400 * * * * [progress]: [ 324 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))>
2.400 * * * * [progress]: [ 325 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))>
2.400 * * * * [progress]: [ 326 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))>
2.400 * * * * [progress]: [ 327 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))>
2.400 * * * * [progress]: [ 328 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.400 * * * * [progress]: [ 329 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.400 * * * * [progress]: [ 330 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))>
2.400 * * * * [progress]: [ 331 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))>
2.400 * * * * [progress]: [ 332 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))>
2.401 * * * * [progress]: [ 333 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))>
2.401 * * * * [progress]: [ 334 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.401 * * * * [progress]: [ 335 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.401 * * * * [progress]: [ 336 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))>
2.401 * * * * [progress]: [ 337 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1) (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))>
2.401 * * * * [progress]: [ 338 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
2.401 * * * * [progress]: [ 339 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
2.401 * * * * [progress]: [ 340 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.401 * * * * [progress]: [ 341 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.401 * * * * [progress]: [ 342 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.401 * * * * [progress]: [ 343 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.401 * * * * [progress]: [ 344 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
2.401 * * * * [progress]: [ 345 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
2.401 * * * * [progress]: [ 346 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.402 * * * * [progress]: [ 347 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.402 * * * * [progress]: [ 348 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.402 * * * * [progress]: [ 349 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.402 * * * * [progress]: [ 350 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.402 * * * * [progress]: [ 351 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.402 * * * * [progress]: [ 352 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.402 * * * * [progress]: [ 353 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.402 * * * * [progress]: [ 354 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.402 * * * * [progress]: [ 355 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.402 * * * * [progress]: [ 356 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.402 * * * * [progress]: [ 357 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.402 * * * * [progress]: [ 358 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.402 * * * * [progress]: [ 359 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.402 * * * * [progress]: [ 360 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.403 * * * * [progress]: [ 361 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.403 * * * * [progress]: [ 362 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.403 * * * * [progress]: [ 363 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.403 * * * * [progress]: [ 364 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.403 * * * * [progress]: [ 365 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.403 * * * * [progress]: [ 366 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.403 * * * * [progress]: [ 367 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.403 * * * * [progress]: [ 368 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.403 * * * * [progress]: [ 369 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.403 * * * * [progress]: [ 370 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.403 * * * * [progress]: [ 371 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.403 * * * * [progress]: [ 372 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.403 * * * * [progress]: [ 373 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.403 * * * * [progress]: [ 374 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
2.403 * * * * [progress]: [ 375 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
2.404 * * * * [progress]: [ 376 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.404 * * * * [progress]: [ 377 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.404 * * * * [progress]: [ 378 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.404 * * * * [progress]: [ 379 / 445 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.404 * * * * [progress]: [ 380 / 445 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.404 * * * * [progress]: [ 381 / 445 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.404 * * * * [progress]: [ 382 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.404 * * * * [progress]: [ 383 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.404 * * * * [progress]: [ 384 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.404 * * * * [progress]: [ 385 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.404 * * * * [progress]: [ 386 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.404 * * * * [progress]: [ 387 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.404 * * * * [progress]: [ 388 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.404 * * * * [progress]: [ 389 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.404 * * * * [progress]: [ 390 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.405 * * * * [progress]: [ 391 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.405 * * * * [progress]: [ 392 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.405 * * * * [progress]: [ 393 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.405 * * * * [progress]: [ 394 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.405 * * * * [progress]: [ 395 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.405 * * * * [progress]: [ 396 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.405 * * * * [progress]: [ 397 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.405 * * * * [progress]: [ 398 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.405 * * * * [progress]: [ 399 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.405 * * * * [progress]: [ 400 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.405 * * * * [progress]: [ 401 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.405 * * * * [progress]: [ 402 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.406 * * * * [progress]: [ 403 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.406 * * * * [progress]: [ 404 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.406 * * * * [progress]: [ 405 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.406 * * * * [progress]: [ 406 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.406 * * * * [progress]: [ 407 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.406 * * * * [progress]: [ 408 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.406 * * * * [progress]: [ 409 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.406 * * * * [progress]: [ 410 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.406 * * * * [progress]: [ 411 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.406 * * * * [progress]: [ 412 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.406 * * * * [progress]: [ 413 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.406 * * * * [progress]: [ 414 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.406 * * * * [progress]: [ 415 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))))>
2.407 * * * * [progress]: [ 416 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))))))>
2.407 * * * * [progress]: [ 417 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))))>
2.407 * * * * [progress]: [ 418 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))))>
2.407 * * * * [progress]: [ 419 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))))>
2.407 * * * * [progress]: [ 420 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))))>
2.407 * * * * [progress]: [ 421 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))))>
2.407 * * * * [progress]: [ 422 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))))>
2.407 * * * * [progress]: [ 423 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))))>
2.407 * * * * [progress]: [ 424 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))))>
2.407 * * * * [progress]: [ 425 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))))>
2.407 * * * * [progress]: [ 426 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))))>
2.407 * * * * [progress]: [ 427 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))))>
2.408 * * * * [progress]: [ 428 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.408 * * * * [progress]: [ 429 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.408 * * * * [progress]: [ 430 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
2.408 * * * * [progress]: [ 431 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
2.408 * * * * [progress]: [ 432 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
2.408 * * * * [progress]: [ 433 / 445 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.408 * * * * [progress]: [ 434 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
2.408 * * * * [progress]: [ 435 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.408 * * * * [progress]: [ 436 / 445 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.408 * * * * [progress]: [ 437 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.408 * * * * [progress]: [ 438 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.408 * * * * [progress]: [ 439 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.408 * * * * [progress]: [ 440 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.408 * * * * [progress]: [ 441 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.408 * * * * [progress]: [ 442 / 445 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.408 * * * * [progress]: [ 443 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.409 * * * * [progress]: [ 444 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
2.409 * * * * [progress]: [ 445 / 445 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
2.423 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (expm1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (log1p (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)
  (/ (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
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  (/ (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)
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  (/ (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))))
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  (/ (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)
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  (/ (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))))
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  (/ (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))))
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  (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.454 * * [simplify]: iteration 0: 695 enodes
2.698 * * [simplify]: iteration 1: 1526 enodes
3.079 * * [simplify]: iteration 2: 2001 enodes
3.506 * * [simplify]: iteration complete: 2001 enodes
3.506 * * [simplify]: Extracting #0: cost 233 inf + 0
3.508 * * [simplify]: Extracting #1: cost 515 inf + 1
3.513 * * [simplify]: Extracting #2: cost 739 inf + 1881
3.520 * * [simplify]: Extracting #3: cost 804 inf + 11914
3.540 * * [simplify]: Extracting #4: cost 562 inf + 88070
3.560 * * [simplify]: Extracting #5: cost 346 inf + 180910
3.593 * * [simplify]: Extracting #6: cost 193 inf + 273665
3.633 * * [simplify]: Extracting #7: cost 60 inf + 356856
3.703 * * [simplify]: Extracting #8: cost 23 inf + 387667
3.761 * * [simplify]: Extracting #9: cost 23 inf + 390493
3.827 * * [simplify]: Extracting #10: cost 15 inf + 395110
3.923 * * [simplify]: Extracting #11: cost 10 inf + 400340
3.994 * * [simplify]: Extracting #12: cost 4 inf + 408621
4.091 * * [simplify]: Extracting #13: cost 0 inf + 415390
4.162 * * [simplify]: Extracting #14: cost 0 inf + 415265
4.253 * * [simplify]: Extracting #15: cost 0 inf + 415190
4.343 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (cbrt 2)) (- (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (/ k (sqrt 2)) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma -1/2 k (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (* (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (- (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (sqrt 2)) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (fma -1/2 k (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (* (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (- (/ (/ (sqrt k) (cbrt 2)) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (sqrt 2)) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (+ 1/2 (/ (- k) 2)))
  (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (fma -1/2 k (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* 8 (* PI PI)) PI) (* (* n n) n))
  (* (* (* n n) n) (* (* PI 2) (* (* PI 2) (* PI 2))))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (log1p (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) k) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (/ (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2)))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (- k) 2)))
  (/ (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (cbrt k)))
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  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2))
  (/ (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ (cbrt k) (cbrt 2)) (- (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k))))) (* (/ (cbrt k) (sqrt 2)) (/ (cbrt k) (/ (sqrt 2) (cbrt k)))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (cbrt 2))) (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (/ (sqrt k) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (* -1/2 k) (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (/ (sqrt k) (pow (* (* PI 2) n) (+ (- (/ (/ k (sqrt 2)) (sqrt 2))) (/ (/ k (sqrt 2)) (sqrt 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma (/ k 2) -1 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (fma -1/2 k (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1/2 (/ k 2)) 2)))
  (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))
  (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (fma (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) (* (* k k) (log n))) 1/4 (- (fma (* (* (* (log n) (log n)) (* k k)) (exp (* 1/2 (log (* (* PI 2) n))))) 1/8 (fma 1/8 (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* 1/2 (log (* (* PI 2) n))))) (* k k)) (exp (* 1/2 (log (* (* PI 2) n)))))) (* 1/2 (fma (* k (log n)) (exp (* 1/2 (log (* (* PI 2) n)))) (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) k)))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (exp (* (- 1/2 (/ k 2)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (- (* +nan.0 (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) (* (* k k) (log n)))) (fma (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) (* k k)) +nan.0 (- (fma (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* (* (log n) (log n)) (* k k)) (- (fma (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) k (- (- (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (- (* +nan.0 (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* 1/2 (log (* (* PI 2) n))))) (* k k))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* (* k k) (log n))) (- (* (* (exp (* 1/2 (log (* (* PI 2) n)))) +nan.0) (* k k)) (- (* (* (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))) k) +nan.0) (* +nan.0 (* (exp (* 1/2 (log (* (* PI 2) n)))) (* k (log n)))))))))))))))))
  (+ (- (* +nan.0 (/ (exp (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) (* (* k k) k)))) (- (/ (* +nan.0 (exp (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))) k) (* (/ (exp (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))) (* k k)) +nan.0)))
  (+ (- (/ (* (exp (* (- 1/2 (/ k 2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0) k)) (- (/ (* (exp (* (- 1/2 (/ k 2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0) (* k k)) (* (exp (* (- 1/2 (/ k 2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0)))
4.468 * * * [progress]: adding candidates to table
11.447 * * [progress]: iteration 2 / 4
11.447 * * * [progress]: picking best candidate
11.506 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
11.506 * * * [progress]: localizing error
11.535 * * * [progress]: generating rewritten candidates
11.535 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
11.562 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
11.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
11.623 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
11.651 * * * [progress]: generating series expansions
11.651 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
11.652 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k))))
11.652 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in (n k) around 0
11.652 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in k
11.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in k
11.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in k
11.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in k
11.652 * [taylor]: Taking taylor expansion of 1/2 in k
11.653 * [backup-simplify]: Simplify 1/2 into 1/2
11.653 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.653 * [taylor]: Taking taylor expansion of 1/2 in k
11.653 * [backup-simplify]: Simplify 1/2 into 1/2
11.653 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.653 * [taylor]: Taking taylor expansion of 1/2 in k
11.653 * [backup-simplify]: Simplify 1/2 into 1/2
11.653 * [taylor]: Taking taylor expansion of k in k
11.653 * [backup-simplify]: Simplify 0 into 0
11.653 * [backup-simplify]: Simplify 1 into 1
11.653 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.653 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.653 * [taylor]: Taking taylor expansion of 2 in k
11.653 * [backup-simplify]: Simplify 2 into 2
11.653 * [taylor]: Taking taylor expansion of (* n PI) in k
11.653 * [taylor]: Taking taylor expansion of n in k
11.653 * [backup-simplify]: Simplify n into n
11.653 * [taylor]: Taking taylor expansion of PI in k
11.653 * [backup-simplify]: Simplify PI into PI
11.653 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.653 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.653 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.654 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.654 * [backup-simplify]: Simplify (- 0) into 0
11.654 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.655 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
11.655 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
11.655 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
11.655 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
11.655 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
11.655 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
11.655 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
11.655 * [taylor]: Taking taylor expansion of 1/2 in n
11.655 * [backup-simplify]: Simplify 1/2 into 1/2
11.655 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.655 * [taylor]: Taking taylor expansion of 1/2 in n
11.655 * [backup-simplify]: Simplify 1/2 into 1/2
11.655 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.655 * [taylor]: Taking taylor expansion of 1/2 in n
11.655 * [backup-simplify]: Simplify 1/2 into 1/2
11.655 * [taylor]: Taking taylor expansion of k in n
11.655 * [backup-simplify]: Simplify k into k
11.655 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.655 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.655 * [taylor]: Taking taylor expansion of 2 in n
11.655 * [backup-simplify]: Simplify 2 into 2
11.655 * [taylor]: Taking taylor expansion of (* n PI) in n
11.655 * [taylor]: Taking taylor expansion of n in n
11.655 * [backup-simplify]: Simplify 0 into 0
11.655 * [backup-simplify]: Simplify 1 into 1
11.655 * [taylor]: Taking taylor expansion of PI in n
11.655 * [backup-simplify]: Simplify PI into PI
11.656 * [backup-simplify]: Simplify (* 0 PI) into 0
11.656 * [backup-simplify]: Simplify (* 2 0) into 0
11.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.658 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.659 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.659 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.659 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.659 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.659 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
11.660 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.661 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
11.662 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
11.662 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
11.662 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
11.662 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
11.662 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
11.662 * [taylor]: Taking taylor expansion of 1/2 in n
11.662 * [backup-simplify]: Simplify 1/2 into 1/2
11.662 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.662 * [taylor]: Taking taylor expansion of 1/2 in n
11.662 * [backup-simplify]: Simplify 1/2 into 1/2
11.662 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.662 * [taylor]: Taking taylor expansion of 1/2 in n
11.662 * [backup-simplify]: Simplify 1/2 into 1/2
11.662 * [taylor]: Taking taylor expansion of k in n
11.662 * [backup-simplify]: Simplify k into k
11.662 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.662 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.662 * [taylor]: Taking taylor expansion of 2 in n
11.662 * [backup-simplify]: Simplify 2 into 2
11.662 * [taylor]: Taking taylor expansion of (* n PI) in n
11.662 * [taylor]: Taking taylor expansion of n in n
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 1 into 1
11.662 * [taylor]: Taking taylor expansion of PI in n
11.662 * [backup-simplify]: Simplify PI into PI
11.662 * [backup-simplify]: Simplify (* 0 PI) into 0
11.663 * [backup-simplify]: Simplify (* 2 0) into 0
11.664 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.665 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.665 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.665 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.665 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.665 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.665 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
11.666 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.667 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
11.668 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
11.668 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
11.668 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
11.668 * [taylor]: Taking taylor expansion of 1/2 in k
11.668 * [backup-simplify]: Simplify 1/2 into 1/2
11.668 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
11.668 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.668 * [taylor]: Taking taylor expansion of 1/2 in k
11.668 * [backup-simplify]: Simplify 1/2 into 1/2
11.668 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.668 * [taylor]: Taking taylor expansion of 1/2 in k
11.668 * [backup-simplify]: Simplify 1/2 into 1/2
11.668 * [taylor]: Taking taylor expansion of k in k
11.668 * [backup-simplify]: Simplify 0 into 0
11.668 * [backup-simplify]: Simplify 1 into 1
11.668 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
11.668 * [taylor]: Taking taylor expansion of (log n) in k
11.668 * [taylor]: Taking taylor expansion of n in k
11.668 * [backup-simplify]: Simplify n into n
11.668 * [backup-simplify]: Simplify (log n) into (log n)
11.668 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.668 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.668 * [taylor]: Taking taylor expansion of 2 in k
11.668 * [backup-simplify]: Simplify 2 into 2
11.668 * [taylor]: Taking taylor expansion of PI in k
11.668 * [backup-simplify]: Simplify PI into PI
11.669 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.669 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.669 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.670 * [backup-simplify]: Simplify (- 0) into 0
11.670 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.671 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.671 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
11.672 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (+ (log n) (log (* 2 PI))))) into (* 1/4 (+ (log n) (log (* 2 PI))))
11.673 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
11.673 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
11.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.676 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify (+ 0 0) into 0
11.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 k)))) into 0
11.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.679 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.679 * [taylor]: Taking taylor expansion of 0 in k
11.680 * [backup-simplify]: Simplify 0 into 0
11.680 * [backup-simplify]: Simplify 0 into 0
11.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.682 * [backup-simplify]: Simplify (+ 0 0) into 0
11.682 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.683 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.683 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
11.688 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI)))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
11.691 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
11.694 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
11.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.702 * [backup-simplify]: Simplify (- 0) into 0
11.702 * [backup-simplify]: Simplify (+ 0 0) into 0
11.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 k))))) into 0
11.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.706 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.707 * [taylor]: Taking taylor expansion of 0 in k
11.707 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.712 * [backup-simplify]: Simplify (- 0) into 0
11.712 * [backup-simplify]: Simplify (+ 0 0) into 0
11.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI))))))) into 0
11.722 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
11.725 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
11.731 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
11.731 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1/2 (/ (/ 1 k) 2)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))))
11.731 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
11.731 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in k
11.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in k
11.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in k
11.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in k
11.731 * [taylor]: Taking taylor expansion of 1/2 in k
11.731 * [backup-simplify]: Simplify 1/2 into 1/2
11.731 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.732 * [taylor]: Taking taylor expansion of 1/2 in k
11.732 * [backup-simplify]: Simplify 1/2 into 1/2
11.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.732 * [taylor]: Taking taylor expansion of 1/2 in k
11.732 * [backup-simplify]: Simplify 1/2 into 1/2
11.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.732 * [taylor]: Taking taylor expansion of k in k
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 1 into 1
11.732 * [backup-simplify]: Simplify (/ 1 1) into 1
11.732 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.732 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.732 * [taylor]: Taking taylor expansion of 2 in k
11.732 * [backup-simplify]: Simplify 2 into 2
11.732 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.732 * [taylor]: Taking taylor expansion of PI in k
11.732 * [backup-simplify]: Simplify PI into PI
11.732 * [taylor]: Taking taylor expansion of n in k
11.732 * [backup-simplify]: Simplify n into n
11.732 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.732 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.732 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.732 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.733 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.733 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.733 * [backup-simplify]: Simplify (* 1/2 -1/2) into -1/4
11.733 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
11.733 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))))
11.733 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
11.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
11.733 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
11.733 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
11.733 * [taylor]: Taking taylor expansion of 1/2 in n
11.733 * [backup-simplify]: Simplify 1/2 into 1/2
11.734 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.734 * [taylor]: Taking taylor expansion of 1/2 in n
11.734 * [backup-simplify]: Simplify 1/2 into 1/2
11.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.734 * [taylor]: Taking taylor expansion of 1/2 in n
11.734 * [backup-simplify]: Simplify 1/2 into 1/2
11.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.734 * [taylor]: Taking taylor expansion of k in n
11.734 * [backup-simplify]: Simplify k into k
11.734 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.734 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.734 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.734 * [taylor]: Taking taylor expansion of 2 in n
11.734 * [backup-simplify]: Simplify 2 into 2
11.734 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.734 * [taylor]: Taking taylor expansion of PI in n
11.734 * [backup-simplify]: Simplify PI into PI
11.734 * [taylor]: Taking taylor expansion of n in n
11.734 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify 1 into 1
11.734 * [backup-simplify]: Simplify (/ PI 1) into PI
11.734 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.735 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.735 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.735 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.735 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
11.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.737 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
11.738 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.738 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
11.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
11.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
11.738 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
11.738 * [taylor]: Taking taylor expansion of 1/2 in n
11.738 * [backup-simplify]: Simplify 1/2 into 1/2
11.738 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.738 * [taylor]: Taking taylor expansion of 1/2 in n
11.738 * [backup-simplify]: Simplify 1/2 into 1/2
11.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.738 * [taylor]: Taking taylor expansion of 1/2 in n
11.738 * [backup-simplify]: Simplify 1/2 into 1/2
11.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.738 * [taylor]: Taking taylor expansion of k in n
11.738 * [backup-simplify]: Simplify k into k
11.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.738 * [taylor]: Taking taylor expansion of 2 in n
11.738 * [backup-simplify]: Simplify 2 into 2
11.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.738 * [taylor]: Taking taylor expansion of PI in n
11.738 * [backup-simplify]: Simplify PI into PI
11.738 * [taylor]: Taking taylor expansion of n in n
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.739 * [backup-simplify]: Simplify (/ PI 1) into PI
11.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.740 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.740 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.740 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.740 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
11.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.742 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
11.742 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.743 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
11.743 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
11.743 * [taylor]: Taking taylor expansion of 1/2 in k
11.743 * [backup-simplify]: Simplify 1/2 into 1/2
11.743 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
11.743 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.743 * [taylor]: Taking taylor expansion of 1/2 in k
11.743 * [backup-simplify]: Simplify 1/2 into 1/2
11.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.743 * [taylor]: Taking taylor expansion of 1/2 in k
11.743 * [backup-simplify]: Simplify 1/2 into 1/2
11.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.743 * [taylor]: Taking taylor expansion of k in k
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [backup-simplify]: Simplify (/ 1 1) into 1
11.743 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.743 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.743 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.743 * [taylor]: Taking taylor expansion of 2 in k
11.743 * [backup-simplify]: Simplify 2 into 2
11.743 * [taylor]: Taking taylor expansion of PI in k
11.743 * [backup-simplify]: Simplify PI into PI
11.743 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.744 * [taylor]: Taking taylor expansion of (log n) in k
11.744 * [taylor]: Taking taylor expansion of n in k
11.744 * [backup-simplify]: Simplify n into n
11.744 * [backup-simplify]: Simplify (log n) into (log n)
11.744 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.745 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.745 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.745 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.746 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.746 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
11.747 * [backup-simplify]: Simplify (* 1/2 (* -1/2 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
11.748 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.748 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.749 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.752 * [backup-simplify]: Simplify (- 0) into 0
11.752 * [backup-simplify]: Simplify (+ 0 0) into 0
11.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0
11.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.756 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.757 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.757 * [taylor]: Taking taylor expansion of 0 in k
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [backup-simplify]: Simplify 0 into 0
11.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.765 * [backup-simplify]: Simplify (- 0) into 0
11.765 * [backup-simplify]: Simplify (+ 0 0) into 0
11.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0
11.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.769 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
11.771 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.771 * [taylor]: Taking taylor expansion of 0 in k
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 0 into 0
11.772 * [backup-simplify]: Simplify 0 into 0
11.772 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.780 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.782 * [backup-simplify]: Simplify (- 0) into 0
11.782 * [backup-simplify]: Simplify (+ 0 0) into 0
11.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))))) into 0
11.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.790 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.790 * [taylor]: Taking taylor expansion of 0 in k
11.790 * [backup-simplify]: Simplify 0 into 0
11.790 * [backup-simplify]: Simplify 0 into 0
11.791 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
11.792 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1/2 (/ (/ 1 (- k)) 2)) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)))
11.792 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
11.792 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in k
11.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in k
11.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in k
11.792 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.792 * [taylor]: Taking taylor expansion of 1/2 in k
11.792 * [backup-simplify]: Simplify 1/2 into 1/2
11.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.792 * [taylor]: Taking taylor expansion of 1/2 in k
11.792 * [backup-simplify]: Simplify 1/2 into 1/2
11.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.792 * [taylor]: Taking taylor expansion of k in k
11.792 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify 1 into 1
11.792 * [backup-simplify]: Simplify (/ 1 1) into 1
11.792 * [taylor]: Taking taylor expansion of 1/2 in k
11.792 * [backup-simplify]: Simplify 1/2 into 1/2
11.792 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.793 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.793 * [taylor]: Taking taylor expansion of -2 in k
11.793 * [backup-simplify]: Simplify -2 into -2
11.793 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.793 * [taylor]: Taking taylor expansion of PI in k
11.793 * [backup-simplify]: Simplify PI into PI
11.793 * [taylor]: Taking taylor expansion of n in k
11.793 * [backup-simplify]: Simplify n into n
11.793 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.793 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.793 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.793 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.794 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.794 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
11.794 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
11.794 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
11.795 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
11.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
11.795 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.795 * [taylor]: Taking taylor expansion of 1/2 in n
11.795 * [backup-simplify]: Simplify 1/2 into 1/2
11.795 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.795 * [taylor]: Taking taylor expansion of 1/2 in n
11.795 * [backup-simplify]: Simplify 1/2 into 1/2
11.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.795 * [taylor]: Taking taylor expansion of k in n
11.795 * [backup-simplify]: Simplify k into k
11.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.795 * [taylor]: Taking taylor expansion of 1/2 in n
11.795 * [backup-simplify]: Simplify 1/2 into 1/2
11.795 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.795 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.795 * [taylor]: Taking taylor expansion of -2 in n
11.795 * [backup-simplify]: Simplify -2 into -2
11.795 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.795 * [taylor]: Taking taylor expansion of PI in n
11.795 * [backup-simplify]: Simplify PI into PI
11.795 * [taylor]: Taking taylor expansion of n in n
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 1 into 1
11.796 * [backup-simplify]: Simplify (/ PI 1) into PI
11.796 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.797 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.797 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.797 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.798 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
11.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.800 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
11.801 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
11.801 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.801 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
11.801 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
11.801 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.801 * [taylor]: Taking taylor expansion of 1/2 in n
11.801 * [backup-simplify]: Simplify 1/2 into 1/2
11.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.802 * [taylor]: Taking taylor expansion of 1/2 in n
11.802 * [backup-simplify]: Simplify 1/2 into 1/2
11.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.802 * [taylor]: Taking taylor expansion of k in n
11.802 * [backup-simplify]: Simplify k into k
11.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.802 * [taylor]: Taking taylor expansion of 1/2 in n
11.802 * [backup-simplify]: Simplify 1/2 into 1/2
11.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.802 * [taylor]: Taking taylor expansion of -2 in n
11.802 * [backup-simplify]: Simplify -2 into -2
11.802 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.802 * [taylor]: Taking taylor expansion of PI in n
11.802 * [backup-simplify]: Simplify PI into PI
11.802 * [taylor]: Taking taylor expansion of n in n
11.802 * [backup-simplify]: Simplify 0 into 0
11.802 * [backup-simplify]: Simplify 1 into 1
11.803 * [backup-simplify]: Simplify (/ PI 1) into PI
11.803 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.804 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.804 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.804 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.804 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
11.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.807 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
11.808 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
11.808 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
11.808 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
11.809 * [taylor]: Taking taylor expansion of 1/2 in k
11.809 * [backup-simplify]: Simplify 1/2 into 1/2
11.809 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
11.809 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.809 * [taylor]: Taking taylor expansion of 1/2 in k
11.809 * [backup-simplify]: Simplify 1/2 into 1/2
11.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.809 * [taylor]: Taking taylor expansion of k in k
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [backup-simplify]: Simplify (/ 1 1) into 1
11.809 * [taylor]: Taking taylor expansion of 1/2 in k
11.809 * [backup-simplify]: Simplify 1/2 into 1/2
11.809 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.809 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.809 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.809 * [taylor]: Taking taylor expansion of -2 in k
11.809 * [backup-simplify]: Simplify -2 into -2
11.809 * [taylor]: Taking taylor expansion of PI in k
11.810 * [backup-simplify]: Simplify PI into PI
11.810 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.811 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.811 * [taylor]: Taking taylor expansion of (log n) in k
11.811 * [taylor]: Taking taylor expansion of n in k
11.811 * [backup-simplify]: Simplify n into n
11.811 * [backup-simplify]: Simplify (log n) into (log n)
11.812 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.812 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.812 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.814 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.815 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
11.816 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (- (log (* -2 PI)) (log n)))) into (* 1/4 (- (log (* -2 PI)) (log n)))
11.817 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
11.818 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
11.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.820 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.823 * [backup-simplify]: Simplify (+ 0 0) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
11.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.826 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.828 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.828 * [taylor]: Taking taylor expansion of 0 in k
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.831 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.836 * [backup-simplify]: Simplify (+ 0 0) into 0
11.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
11.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.846 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.848 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.848 * [taylor]: Taking taylor expansion of 0 in k
11.848 * [backup-simplify]: Simplify 0 into 0
11.848 * [backup-simplify]: Simplify 0 into 0
11.848 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify 0 into 0
11.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.850 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
11.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.855 * [backup-simplify]: Simplify (+ 0 0) into 0
11.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
11.856 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.858 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
11.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.859 * [taylor]: Taking taylor expansion of 0 in k
11.859 * [backup-simplify]: Simplify 0 into 0
11.859 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
11.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
11.861 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k))))
11.861 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in (n k) around 0
11.861 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in k
11.861 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in k
11.861 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in k
11.861 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in k
11.861 * [taylor]: Taking taylor expansion of 1/2 in k
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.861 * [taylor]: Taking taylor expansion of 1/2 in k
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.861 * [taylor]: Taking taylor expansion of 1/2 in k
11.861 * [backup-simplify]: Simplify 1/2 into 1/2
11.861 * [taylor]: Taking taylor expansion of k in k
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.861 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.861 * [taylor]: Taking taylor expansion of 2 in k
11.861 * [backup-simplify]: Simplify 2 into 2
11.861 * [taylor]: Taking taylor expansion of (* n PI) in k
11.861 * [taylor]: Taking taylor expansion of n in k
11.861 * [backup-simplify]: Simplify n into n
11.861 * [taylor]: Taking taylor expansion of PI in k
11.861 * [backup-simplify]: Simplify PI into PI
11.861 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.861 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.861 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.861 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.862 * [backup-simplify]: Simplify (- 0) into 0
11.862 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.862 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
11.862 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
11.862 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
11.862 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
11.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
11.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
11.862 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
11.862 * [taylor]: Taking taylor expansion of 1/2 in n
11.862 * [backup-simplify]: Simplify 1/2 into 1/2
11.862 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.862 * [taylor]: Taking taylor expansion of 1/2 in n
11.862 * [backup-simplify]: Simplify 1/2 into 1/2
11.862 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.862 * [taylor]: Taking taylor expansion of 1/2 in n
11.862 * [backup-simplify]: Simplify 1/2 into 1/2
11.862 * [taylor]: Taking taylor expansion of k in n
11.863 * [backup-simplify]: Simplify k into k
11.863 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.863 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.863 * [taylor]: Taking taylor expansion of 2 in n
11.863 * [backup-simplify]: Simplify 2 into 2
11.863 * [taylor]: Taking taylor expansion of (* n PI) in n
11.863 * [taylor]: Taking taylor expansion of n in n
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify 1 into 1
11.863 * [taylor]: Taking taylor expansion of PI in n
11.863 * [backup-simplify]: Simplify PI into PI
11.863 * [backup-simplify]: Simplify (* 0 PI) into 0
11.863 * [backup-simplify]: Simplify (* 2 0) into 0
11.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.865 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.866 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.866 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.866 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.866 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.866 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
11.867 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.868 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
11.869 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
11.869 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1/2 (* 1/2 k)))) in n
11.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI))))) in n
11.869 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 k))) (log (* 2 (* n PI)))) in n
11.869 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 k))) in n
11.869 * [taylor]: Taking taylor expansion of 1/2 in n
11.869 * [backup-simplify]: Simplify 1/2 into 1/2
11.869 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.869 * [taylor]: Taking taylor expansion of 1/2 in n
11.869 * [backup-simplify]: Simplify 1/2 into 1/2
11.869 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.869 * [taylor]: Taking taylor expansion of 1/2 in n
11.869 * [backup-simplify]: Simplify 1/2 into 1/2
11.869 * [taylor]: Taking taylor expansion of k in n
11.869 * [backup-simplify]: Simplify k into k
11.869 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.869 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.869 * [taylor]: Taking taylor expansion of 2 in n
11.869 * [backup-simplify]: Simplify 2 into 2
11.869 * [taylor]: Taking taylor expansion of (* n PI) in n
11.869 * [taylor]: Taking taylor expansion of n in n
11.869 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify 1 into 1
11.869 * [taylor]: Taking taylor expansion of PI in n
11.869 * [backup-simplify]: Simplify PI into PI
11.869 * [backup-simplify]: Simplify (* 0 PI) into 0
11.870 * [backup-simplify]: Simplify (* 2 0) into 0
11.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.871 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.872 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.872 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.872 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.872 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.872 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 k))) into (* 1/2 (- 1/2 (* 1/2 k)))
11.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.874 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 k))) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
11.875 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
11.875 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
11.875 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
11.875 * [taylor]: Taking taylor expansion of 1/2 in k
11.875 * [backup-simplify]: Simplify 1/2 into 1/2
11.875 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
11.875 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.875 * [taylor]: Taking taylor expansion of 1/2 in k
11.875 * [backup-simplify]: Simplify 1/2 into 1/2
11.875 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.875 * [taylor]: Taking taylor expansion of 1/2 in k
11.875 * [backup-simplify]: Simplify 1/2 into 1/2
11.875 * [taylor]: Taking taylor expansion of k in k
11.875 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify 1 into 1
11.875 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
11.875 * [taylor]: Taking taylor expansion of (log n) in k
11.875 * [taylor]: Taking taylor expansion of n in k
11.875 * [backup-simplify]: Simplify n into n
11.875 * [backup-simplify]: Simplify (log n) into (log n)
11.875 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.875 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.875 * [taylor]: Taking taylor expansion of 2 in k
11.875 * [backup-simplify]: Simplify 2 into 2
11.875 * [taylor]: Taking taylor expansion of PI in k
11.875 * [backup-simplify]: Simplify PI into PI
11.875 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.876 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.876 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.877 * [backup-simplify]: Simplify (- 0) into 0
11.877 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.878 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.879 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
11.880 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (+ (log n) (log (* 2 PI))))) into (* 1/4 (+ (log n) (log (* 2 PI))))
11.881 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
11.882 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
11.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.887 * [backup-simplify]: Simplify (- 0) into 0
11.887 * [backup-simplify]: Simplify (+ 0 0) into 0
11.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 k)))) into 0
11.889 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.891 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.892 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.892 * [taylor]: Taking taylor expansion of 0 in k
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.896 * [backup-simplify]: Simplify (+ 0 0) into 0
11.897 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.897 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.898 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
11.903 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI)))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
11.906 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
11.909 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
11.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.917 * [backup-simplify]: Simplify (- 0) into 0
11.917 * [backup-simplify]: Simplify (+ 0 0) into 0
11.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 k))))) into 0
11.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.921 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.924 * [taylor]: Taking taylor expansion of 0 in k
11.924 * [backup-simplify]: Simplify 0 into 0
11.924 * [backup-simplify]: Simplify 0 into 0
11.924 * [backup-simplify]: Simplify 0 into 0
11.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.931 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.932 * [backup-simplify]: Simplify (- 0) into 0
11.932 * [backup-simplify]: Simplify (+ 0 0) into 0
11.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))) (* 0 (* 1/2 (+ (log n) (log (* 2 PI))))))) into 0
11.942 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
11.947 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
11.957 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
11.957 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1/2 (/ (/ 1 k) 2)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))))
11.957 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
11.958 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in k
11.958 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in k
11.958 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in k
11.958 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in k
11.958 * [taylor]: Taking taylor expansion of 1/2 in k
11.958 * [backup-simplify]: Simplify 1/2 into 1/2
11.958 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.958 * [taylor]: Taking taylor expansion of 1/2 in k
11.958 * [backup-simplify]: Simplify 1/2 into 1/2
11.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.958 * [taylor]: Taking taylor expansion of 1/2 in k
11.958 * [backup-simplify]: Simplify 1/2 into 1/2
11.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.958 * [taylor]: Taking taylor expansion of k in k
11.958 * [backup-simplify]: Simplify 0 into 0
11.958 * [backup-simplify]: Simplify 1 into 1
11.958 * [backup-simplify]: Simplify (/ 1 1) into 1
11.959 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.959 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.959 * [taylor]: Taking taylor expansion of 2 in k
11.959 * [backup-simplify]: Simplify 2 into 2
11.959 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.959 * [taylor]: Taking taylor expansion of PI in k
11.959 * [backup-simplify]: Simplify PI into PI
11.959 * [taylor]: Taking taylor expansion of n in k
11.959 * [backup-simplify]: Simplify n into n
11.959 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.959 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.959 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.959 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.960 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.960 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.961 * [backup-simplify]: Simplify (* 1/2 -1/2) into -1/4
11.961 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
11.961 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))))
11.961 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
11.961 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
11.961 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
11.961 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
11.961 * [taylor]: Taking taylor expansion of 1/2 in n
11.961 * [backup-simplify]: Simplify 1/2 into 1/2
11.961 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.961 * [taylor]: Taking taylor expansion of 1/2 in n
11.961 * [backup-simplify]: Simplify 1/2 into 1/2
11.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.961 * [taylor]: Taking taylor expansion of 1/2 in n
11.961 * [backup-simplify]: Simplify 1/2 into 1/2
11.961 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.961 * [taylor]: Taking taylor expansion of k in n
11.961 * [backup-simplify]: Simplify k into k
11.962 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.962 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.962 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.962 * [taylor]: Taking taylor expansion of 2 in n
11.962 * [backup-simplify]: Simplify 2 into 2
11.962 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.962 * [taylor]: Taking taylor expansion of PI in n
11.962 * [backup-simplify]: Simplify PI into PI
11.962 * [taylor]: Taking taylor expansion of n in n
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 1 into 1
11.962 * [backup-simplify]: Simplify (/ PI 1) into PI
11.963 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.964 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.964 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.964 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.964 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.965 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
11.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.974 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
11.975 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.975 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))) in n
11.975 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n))))) in n
11.975 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (log (* 2 (/ PI n)))) in n
11.975 * [taylor]: Taking taylor expansion of (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) in n
11.975 * [taylor]: Taking taylor expansion of 1/2 in n
11.975 * [backup-simplify]: Simplify 1/2 into 1/2
11.975 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.975 * [taylor]: Taking taylor expansion of 1/2 in n
11.976 * [backup-simplify]: Simplify 1/2 into 1/2
11.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.976 * [taylor]: Taking taylor expansion of 1/2 in n
11.976 * [backup-simplify]: Simplify 1/2 into 1/2
11.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.976 * [taylor]: Taking taylor expansion of k in n
11.976 * [backup-simplify]: Simplify k into k
11.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.976 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.976 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.976 * [taylor]: Taking taylor expansion of 2 in n
11.976 * [backup-simplify]: Simplify 2 into 2
11.976 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.976 * [taylor]: Taking taylor expansion of PI in n
11.976 * [backup-simplify]: Simplify PI into PI
11.976 * [taylor]: Taking taylor expansion of n in n
11.976 * [backup-simplify]: Simplify 0 into 0
11.976 * [backup-simplify]: Simplify 1 into 1
11.976 * [backup-simplify]: Simplify (/ PI 1) into PI
11.977 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.978 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.978 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.978 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.978 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.978 * [backup-simplify]: Simplify (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) into (* 1/2 (- 1/2 (* 1/2 (/ 1 k))))
11.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.980 * [backup-simplify]: Simplify (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
11.981 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.981 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
11.981 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
11.981 * [taylor]: Taking taylor expansion of 1/2 in k
11.981 * [backup-simplify]: Simplify 1/2 into 1/2
11.981 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
11.981 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.981 * [taylor]: Taking taylor expansion of 1/2 in k
11.981 * [backup-simplify]: Simplify 1/2 into 1/2
11.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.981 * [taylor]: Taking taylor expansion of 1/2 in k
11.981 * [backup-simplify]: Simplify 1/2 into 1/2
11.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.981 * [taylor]: Taking taylor expansion of k in k
11.981 * [backup-simplify]: Simplify 0 into 0
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [backup-simplify]: Simplify (/ 1 1) into 1
11.981 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.981 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.981 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.981 * [taylor]: Taking taylor expansion of 2 in k
11.981 * [backup-simplify]: Simplify 2 into 2
11.981 * [taylor]: Taking taylor expansion of PI in k
11.981 * [backup-simplify]: Simplify PI into PI
11.982 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.982 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.982 * [taylor]: Taking taylor expansion of (log n) in k
11.982 * [taylor]: Taking taylor expansion of n in k
11.982 * [backup-simplify]: Simplify n into n
11.982 * [backup-simplify]: Simplify (log n) into (log n)
11.983 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.983 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.983 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.983 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.984 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.984 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
11.985 * [backup-simplify]: Simplify (* 1/2 (* -1/2 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
11.986 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
11.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.989 * [backup-simplify]: Simplify (- 0) into 0
11.989 * [backup-simplify]: Simplify (+ 0 0) into 0
11.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0
11.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.993 * [taylor]: Taking taylor expansion of 0 in k
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.997 * [backup-simplify]: Simplify (- 0) into 0
11.997 * [backup-simplify]: Simplify (+ 0 0) into 0
11.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0
11.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.000 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
12.001 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.001 * [taylor]: Taking taylor expansion of 0 in k
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 0 into 0
12.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.005 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
12.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.007 * [backup-simplify]: Simplify (- 0) into 0
12.007 * [backup-simplify]: Simplify (+ 0 0) into 0
12.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))))) into 0
12.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
12.010 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
12.012 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.012 * [taylor]: Taking taylor expansion of 0 in k
12.012 * [backup-simplify]: Simplify 0 into 0
12.012 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
12.015 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1/2 (/ (/ 1 (- k)) 2)) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)))
12.015 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
12.015 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in k
12.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in k
12.015 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.015 * [taylor]: Taking taylor expansion of 1/2 in k
12.015 * [backup-simplify]: Simplify 1/2 into 1/2
12.015 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.015 * [taylor]: Taking taylor expansion of 1/2 in k
12.015 * [backup-simplify]: Simplify 1/2 into 1/2
12.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.015 * [taylor]: Taking taylor expansion of k in k
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (/ 1 1) into 1
12.016 * [taylor]: Taking taylor expansion of 1/2 in k
12.016 * [backup-simplify]: Simplify 1/2 into 1/2
12.016 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
12.016 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
12.016 * [taylor]: Taking taylor expansion of -2 in k
12.016 * [backup-simplify]: Simplify -2 into -2
12.016 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.016 * [taylor]: Taking taylor expansion of PI in k
12.016 * [backup-simplify]: Simplify PI into PI
12.016 * [taylor]: Taking taylor expansion of n in k
12.016 * [backup-simplify]: Simplify n into n
12.016 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.016 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
12.016 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
12.016 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.017 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.017 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
12.017 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
12.018 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
12.018 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.018 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
12.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
12.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.018 * [taylor]: Taking taylor expansion of 1/2 in n
12.018 * [backup-simplify]: Simplify 1/2 into 1/2
12.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.018 * [taylor]: Taking taylor expansion of 1/2 in n
12.018 * [backup-simplify]: Simplify 1/2 into 1/2
12.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.018 * [taylor]: Taking taylor expansion of k in n
12.018 * [backup-simplify]: Simplify k into k
12.018 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.018 * [taylor]: Taking taylor expansion of 1/2 in n
12.018 * [backup-simplify]: Simplify 1/2 into 1/2
12.018 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.018 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.018 * [taylor]: Taking taylor expansion of -2 in n
12.018 * [backup-simplify]: Simplify -2 into -2
12.018 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.018 * [taylor]: Taking taylor expansion of PI in n
12.018 * [backup-simplify]: Simplify PI into PI
12.018 * [taylor]: Taking taylor expansion of n in n
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify 1 into 1
12.019 * [backup-simplify]: Simplify (/ PI 1) into PI
12.019 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.020 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.020 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.021 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.021 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
12.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.023 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
12.025 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
12.025 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.025 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n))))) in n
12.025 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (log (* -2 (/ PI n)))) in n
12.025 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.025 * [taylor]: Taking taylor expansion of 1/2 in n
12.025 * [backup-simplify]: Simplify 1/2 into 1/2
12.025 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.025 * [taylor]: Taking taylor expansion of 1/2 in n
12.025 * [backup-simplify]: Simplify 1/2 into 1/2
12.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.025 * [taylor]: Taking taylor expansion of k in n
12.025 * [backup-simplify]: Simplify k into k
12.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.025 * [taylor]: Taking taylor expansion of 1/2 in n
12.025 * [backup-simplify]: Simplify 1/2 into 1/2
12.025 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
12.025 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.025 * [taylor]: Taking taylor expansion of -2 in n
12.025 * [backup-simplify]: Simplify -2 into -2
12.025 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.025 * [taylor]: Taking taylor expansion of PI in n
12.025 * [backup-simplify]: Simplify PI into PI
12.025 * [taylor]: Taking taylor expansion of n in n
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (/ PI 1) into PI
12.026 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.027 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.027 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.028 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.028 * [backup-simplify]: Simplify (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) into (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2))
12.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.030 * [backup-simplify]: Simplify (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
12.032 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
12.032 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
12.032 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 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 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
12.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
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 1/2 in k
12.032 * [backup-simplify]: Simplify 1/2 into 1/2
12.032 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
12.033 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
12.033 * [taylor]: Taking taylor expansion of (* -2 PI) in k
12.033 * [taylor]: Taking taylor expansion of -2 in k
12.033 * [backup-simplify]: Simplify -2 into -2
12.033 * [taylor]: Taking taylor expansion of PI in k
12.033 * [backup-simplify]: Simplify PI into PI
12.033 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.034 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
12.034 * [taylor]: Taking taylor expansion of (log n) in k
12.034 * [taylor]: Taking taylor expansion of n in k
12.034 * [backup-simplify]: Simplify n into n
12.034 * [backup-simplify]: Simplify (log n) into (log n)
12.035 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.035 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.035 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.036 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
12.037 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
12.039 * [backup-simplify]: Simplify (* 1/2 (* 1/2 (- (log (* -2 PI)) (log n)))) into (* 1/4 (- (log (* -2 PI)) (log n)))
12.040 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
12.041 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.043 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
12.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.046 * [backup-simplify]: Simplify (+ 0 0) into 0
12.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
12.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.049 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
12.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.051 * [taylor]: Taking taylor expansion of 0 in k
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.054 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
12.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
12.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.060 * [backup-simplify]: Simplify (+ 0 0) into 0
12.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
12.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.064 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
12.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.067 * [taylor]: Taking taylor expansion of 0 in k
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 0 into 0
12.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.069 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.077 * [backup-simplify]: Simplify (+ 0 0) into 0
12.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
12.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
12.081 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
12.084 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.084 * [taylor]: Taking taylor expansion of 0 in k
12.084 * [backup-simplify]: Simplify 0 into 0
12.084 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
12.086 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
12.086 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
12.086 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
12.086 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.086 * [taylor]: Taking taylor expansion of 2 in n
12.086 * [backup-simplify]: Simplify 2 into 2
12.086 * [taylor]: Taking taylor expansion of (* n PI) in n
12.086 * [taylor]: Taking taylor expansion of n in n
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 1 into 1
12.086 * [taylor]: Taking taylor expansion of PI in n
12.086 * [backup-simplify]: Simplify PI into PI
12.086 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.086 * [taylor]: Taking taylor expansion of 2 in n
12.087 * [backup-simplify]: Simplify 2 into 2
12.087 * [taylor]: Taking taylor expansion of (* n PI) in n
12.087 * [taylor]: Taking taylor expansion of n in n
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 1 into 1
12.087 * [taylor]: Taking taylor expansion of PI in n
12.087 * [backup-simplify]: Simplify PI into PI
12.087 * [backup-simplify]: Simplify (* 0 PI) into 0
12.088 * [backup-simplify]: Simplify (* 2 0) into 0
12.088 * [backup-simplify]: Simplify 0 into 0
12.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.091 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.091 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.100 * [backup-simplify]: Simplify 0 into 0
12.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.103 * [backup-simplify]: Simplify 0 into 0
12.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
12.106 * [backup-simplify]: Simplify 0 into 0
12.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
12.109 * [backup-simplify]: Simplify 0 into 0
12.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
12.111 * [backup-simplify]: Simplify 0 into 0
12.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
12.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
12.113 * [backup-simplify]: Simplify 0 into 0
12.114 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
12.114 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
12.114 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
12.114 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.114 * [taylor]: Taking taylor expansion of 2 in n
12.114 * [backup-simplify]: Simplify 2 into 2
12.114 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.114 * [taylor]: Taking taylor expansion of PI in n
12.114 * [backup-simplify]: Simplify PI into PI
12.114 * [taylor]: Taking taylor expansion of n in n
12.114 * [backup-simplify]: Simplify 0 into 0
12.114 * [backup-simplify]: Simplify 1 into 1
12.115 * [backup-simplify]: Simplify (/ PI 1) into PI
12.115 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.115 * [taylor]: Taking taylor expansion of 2 in n
12.115 * [backup-simplify]: Simplify 2 into 2
12.115 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.115 * [taylor]: Taking taylor expansion of PI in n
12.115 * [backup-simplify]: Simplify PI into PI
12.115 * [taylor]: Taking taylor expansion of n in n
12.115 * [backup-simplify]: Simplify 0 into 0
12.115 * [backup-simplify]: Simplify 1 into 1
12.115 * [backup-simplify]: Simplify (/ PI 1) into PI
12.116 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.116 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.117 * [backup-simplify]: Simplify 0 into 0
12.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
12.118 * [backup-simplify]: Simplify 0 into 0
12.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.120 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.123 * [backup-simplify]: Simplify 0 into 0
12.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
12.126 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
12.126 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
12.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.126 * [taylor]: Taking taylor expansion of -2 in n
12.126 * [backup-simplify]: Simplify -2 into -2
12.126 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.126 * [taylor]: Taking taylor expansion of PI in n
12.126 * [backup-simplify]: Simplify PI into PI
12.126 * [taylor]: Taking taylor expansion of n in n
12.126 * [backup-simplify]: Simplify 0 into 0
12.126 * [backup-simplify]: Simplify 1 into 1
12.126 * [backup-simplify]: Simplify (/ PI 1) into PI
12.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.126 * [taylor]: Taking taylor expansion of -2 in n
12.126 * [backup-simplify]: Simplify -2 into -2
12.126 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.126 * [taylor]: Taking taylor expansion of PI in n
12.126 * [backup-simplify]: Simplify PI into PI
12.126 * [taylor]: Taking taylor expansion of n in n
12.126 * [backup-simplify]: Simplify 0 into 0
12.126 * [backup-simplify]: Simplify 1 into 1
12.127 * [backup-simplify]: Simplify (/ PI 1) into PI
12.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.128 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.128 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.129 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
12.130 * [backup-simplify]: Simplify 0 into 0
12.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.131 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.131 * [backup-simplify]: Simplify 0 into 0
12.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.132 * [backup-simplify]: Simplify 0 into 0
12.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.134 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.134 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.136 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
12.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
12.136 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
12.136 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
12.136 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.137 * [taylor]: Taking taylor expansion of 2 in n
12.137 * [backup-simplify]: Simplify 2 into 2
12.137 * [taylor]: Taking taylor expansion of (* n PI) in n
12.137 * [taylor]: Taking taylor expansion of n in n
12.137 * [backup-simplify]: Simplify 0 into 0
12.137 * [backup-simplify]: Simplify 1 into 1
12.137 * [taylor]: Taking taylor expansion of PI in n
12.137 * [backup-simplify]: Simplify PI into PI
12.137 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.137 * [taylor]: Taking taylor expansion of 2 in n
12.137 * [backup-simplify]: Simplify 2 into 2
12.137 * [taylor]: Taking taylor expansion of (* n PI) in n
12.137 * [taylor]: Taking taylor expansion of n in n
12.137 * [backup-simplify]: Simplify 0 into 0
12.137 * [backup-simplify]: Simplify 1 into 1
12.137 * [taylor]: Taking taylor expansion of PI in n
12.137 * [backup-simplify]: Simplify PI into PI
12.137 * [backup-simplify]: Simplify (* 0 PI) into 0
12.137 * [backup-simplify]: Simplify (* 2 0) into 0
12.137 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.139 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.140 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.141 * [backup-simplify]: Simplify 0 into 0
12.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.142 * [backup-simplify]: Simplify 0 into 0
12.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
12.144 * [backup-simplify]: Simplify 0 into 0
12.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
12.146 * [backup-simplify]: Simplify 0 into 0
12.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
12.149 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
12.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
12.153 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
12.155 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
12.155 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
12.155 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.155 * [taylor]: Taking taylor expansion of 2 in n
12.155 * [backup-simplify]: Simplify 2 into 2
12.155 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.155 * [taylor]: Taking taylor expansion of PI in n
12.155 * [backup-simplify]: Simplify PI into PI
12.155 * [taylor]: Taking taylor expansion of n in n
12.155 * [backup-simplify]: Simplify 0 into 0
12.155 * [backup-simplify]: Simplify 1 into 1
12.155 * [backup-simplify]: Simplify (/ PI 1) into PI
12.156 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.156 * [taylor]: Taking taylor expansion of 2 in n
12.156 * [backup-simplify]: Simplify 2 into 2
12.156 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.156 * [taylor]: Taking taylor expansion of PI in n
12.156 * [backup-simplify]: Simplify PI into PI
12.156 * [taylor]: Taking taylor expansion of n in n
12.156 * [backup-simplify]: Simplify 0 into 0
12.156 * [backup-simplify]: Simplify 1 into 1
12.156 * [backup-simplify]: Simplify (/ PI 1) into PI
12.157 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.157 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
12.161 * [backup-simplify]: Simplify 0 into 0
12.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.163 * [backup-simplify]: Simplify 0 into 0
12.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.164 * [backup-simplify]: Simplify 0 into 0
12.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.167 * [backup-simplify]: Simplify 0 into 0
12.168 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
12.168 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
12.168 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
12.168 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.168 * [taylor]: Taking taylor expansion of -2 in n
12.168 * [backup-simplify]: Simplify -2 into -2
12.168 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.168 * [taylor]: Taking taylor expansion of PI in n
12.168 * [backup-simplify]: Simplify PI into PI
12.168 * [taylor]: Taking taylor expansion of n in n
12.168 * [backup-simplify]: Simplify 0 into 0
12.168 * [backup-simplify]: Simplify 1 into 1
12.169 * [backup-simplify]: Simplify (/ PI 1) into PI
12.169 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
12.169 * [taylor]: Taking taylor expansion of -2 in n
12.169 * [backup-simplify]: Simplify -2 into -2
12.169 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.169 * [taylor]: Taking taylor expansion of PI in n
12.169 * [backup-simplify]: Simplify PI into PI
12.169 * [taylor]: Taking taylor expansion of n in n
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [backup-simplify]: Simplify (/ PI 1) into PI
12.169 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.170 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
12.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.171 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.172 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
12.172 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.173 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.173 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.175 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.175 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.177 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.178 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.178 * [backup-simplify]: Simplify 0 into 0
12.179 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
12.179 * * * [progress]: simplifying candidates
12.179 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.179 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.179 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.179 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.179 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.179 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.179 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.179 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* n (* 2 PI)) (/ 1/2 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2))) (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (/ (cbrt (- 1/2 (/ k 2))) 2))) (sqrt k)))>
12.180 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1)) (/ (sqrt (- 1/2 (/ k 2))) 2))) (sqrt k)))>
12.180 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.180 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1)) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2))) (sqrt k)))>
12.180 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1)) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 2))) (sqrt k)))>
12.180 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2)))) (sqrt k)))>
12.180 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2)))) (sqrt k)))>
12.181 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
12.181 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (sqrt k)))>
12.181 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (log (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 40 / 138 ] 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)))>
12.181 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)))) (sqrt k)))>
12.181 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))) (sqrt k)))>
12.181 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ 1/2 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.181 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2)))) (cbrt (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2))) (sqrt (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2))) (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (/ (cbrt (- 1/2 (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1/2 (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1)) (/ (sqrt (- 1/2 (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1)) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1)) (/ (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1/2 (/ k 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1/2 (/ k 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.182 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.183 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (exp (log (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (log (exp (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 100 / 138 ] 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)))>
12.184 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* 2 PI) n) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.184 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 121 / 138 ] 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)))>
12.185 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* 2 PI) n) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))) (sqrt k)))>
12.185 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))) (sqrt k)))>
12.185 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k)))>
12.185 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.185 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
12.187 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ 1/2 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (expm1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* (log (* n (* 2 PI))) (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (* 1 (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ 1/2 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (- 1/2 (/ k 2)) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1/2 (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1/2 (/ k 2)) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
12.188 * * [simplify]: iteration 0: 165 enodes
12.248 * * [simplify]: iteration 1: 455 enodes
12.474 * * [simplify]: iteration 2: 1480 enodes
12.827 * * [simplify]: iteration 3: 2012 enodes
13.226 * * [simplify]: iteration complete: 2012 enodes
13.226 * * [simplify]: Extracting #0: cost 49 inf + 0
13.226 * * [simplify]: Extracting #1: cost 326 inf + 0
13.229 * * [simplify]: Extracting #2: cost 577 inf + 3783
13.237 * * [simplify]: Extracting #3: cost 401 inf + 49768
13.262 * * [simplify]: Extracting #4: cost 154 inf + 125993
13.320 * * [simplify]: Extracting #5: cost 51 inf + 172238
13.401 * * [simplify]: Extracting #6: cost 23 inf + 183455
13.484 * * [simplify]: Extracting #7: cost 2 inf + 190999
13.568 * * [simplify]: Extracting #8: cost 0 inf + 190629
13.653 * * [simplify]: Extracting #9: cost 0 inf + 190559
13.739 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (log1p (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* (log (* (* PI 2) n)) 1/4))
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* (* PI 2) n) (sqrt (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))
  (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 3)
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (expm1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (log1p (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* (log (* (* PI 2) n)) 1/4))
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* (* PI 2) n) (sqrt (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (sqrt 2)) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (sqrt (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))
  (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 3)
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* 8 (* (* PI PI) PI)) (* n n)) n)
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* PI (* 2 (sqrt n)))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* 8 (* (* PI PI) PI)) (* n n)) n)
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* PI (* 2 (sqrt n)))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (fma -1/4 (* k (fma (exp (* (log (* (* PI 2) n)) 1/4)) (log n) (* (log (* PI 2)) (exp (* (log (* (* PI 2) n)) 1/4))))) (fma (fma (* (* k k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (log n) (log n)) (* (* (* k k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (log (* PI 2)) (log (* PI 2))))) 1/32 (fma (* 1/16 (* (log (* PI 2)) (exp (* (log (* (* PI 2) n)) 1/4)))) (* k (* k (log n))) (exp (* (log (* (* PI 2) n)) 1/4)))))
  (exp (* (log (* (* PI 2) n)) (* (fma k -1/2 1/2) 1/2)))
  (exp (* 1/2 (* (fma k -1/2 1/2) (- (log (* PI -2)) (log (/ -1 n))))))
  (fma -1/4 (* k (fma (exp (* (log (* (* PI 2) n)) 1/4)) (log n) (* (log (* PI 2)) (exp (* (log (* (* PI 2) n)) 1/4))))) (fma (fma (* (* k k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (log n) (log n)) (* (* (* k k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (log (* PI 2)) (log (* PI 2))))) 1/32 (fma (* 1/16 (* (log (* PI 2)) (exp (* (log (* (* PI 2) n)) 1/4)))) (* k (* k (log n))) (exp (* (log (* (* PI 2) n)) 1/4)))))
  (exp (* (log (* (* PI 2) n)) (* (fma k -1/2 1/2) 1/2)))
  (exp (* 1/2 (* (fma k -1/2 1/2) (- (log (* PI -2)) (log (/ -1 n))))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
13.753 * * * [progress]: adding candidates to table
15.634 * * [progress]: iteration 3 / 4
15.634 * * * [progress]: picking best candidate
15.668 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
15.668 * * * [progress]: localizing error
15.734 * * * [progress]: generating rewritten candidates
15.734 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
15.756 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
15.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
15.787 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
15.803 * * * [progress]: generating series expansions
15.803 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
15.804 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
15.804 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
15.804 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
15.804 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
15.804 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
15.804 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.804 * [taylor]: Taking taylor expansion of 1/2 in k
15.804 * [backup-simplify]: Simplify 1/2 into 1/2
15.804 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.804 * [taylor]: Taking taylor expansion of 1/2 in k
15.804 * [backup-simplify]: Simplify 1/2 into 1/2
15.804 * [taylor]: Taking taylor expansion of k in k
15.804 * [backup-simplify]: Simplify 0 into 0
15.804 * [backup-simplify]: Simplify 1 into 1
15.804 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
15.804 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
15.804 * [taylor]: Taking taylor expansion of 2 in k
15.804 * [backup-simplify]: Simplify 2 into 2
15.804 * [taylor]: Taking taylor expansion of (* n PI) in k
15.804 * [taylor]: Taking taylor expansion of n in k
15.804 * [backup-simplify]: Simplify n into n
15.804 * [taylor]: Taking taylor expansion of PI in k
15.804 * [backup-simplify]: Simplify PI into PI
15.804 * [backup-simplify]: Simplify (* n PI) into (* n PI)
15.804 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
15.805 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
15.805 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.805 * [backup-simplify]: Simplify (- 0) into 0
15.805 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.805 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
15.806 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
15.806 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
15.806 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
15.806 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
15.806 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.806 * [taylor]: Taking taylor expansion of 1/2 in n
15.806 * [backup-simplify]: Simplify 1/2 into 1/2
15.806 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.806 * [taylor]: Taking taylor expansion of 1/2 in n
15.806 * [backup-simplify]: Simplify 1/2 into 1/2
15.806 * [taylor]: Taking taylor expansion of k in n
15.806 * [backup-simplify]: Simplify k into k
15.806 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
15.806 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
15.806 * [taylor]: Taking taylor expansion of 2 in n
15.806 * [backup-simplify]: Simplify 2 into 2
15.806 * [taylor]: Taking taylor expansion of (* n PI) in n
15.806 * [taylor]: Taking taylor expansion of n in n
15.806 * [backup-simplify]: Simplify 0 into 0
15.806 * [backup-simplify]: Simplify 1 into 1
15.806 * [taylor]: Taking taylor expansion of PI in n
15.806 * [backup-simplify]: Simplify PI into PI
15.806 * [backup-simplify]: Simplify (* 0 PI) into 0
15.807 * [backup-simplify]: Simplify (* 2 0) into 0
15.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
15.808 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
15.809 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.809 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.809 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.809 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.810 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
15.811 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
15.813 * [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)))))
15.813 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
15.813 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
15.813 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
15.813 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.813 * [taylor]: Taking taylor expansion of 1/2 in n
15.813 * [backup-simplify]: Simplify 1/2 into 1/2
15.813 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.813 * [taylor]: Taking taylor expansion of 1/2 in n
15.813 * [backup-simplify]: Simplify 1/2 into 1/2
15.813 * [taylor]: Taking taylor expansion of k in n
15.813 * [backup-simplify]: Simplify k into k
15.813 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
15.813 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
15.813 * [taylor]: Taking taylor expansion of 2 in n
15.813 * [backup-simplify]: Simplify 2 into 2
15.813 * [taylor]: Taking taylor expansion of (* n PI) in n
15.813 * [taylor]: Taking taylor expansion of n in n
15.813 * [backup-simplify]: Simplify 0 into 0
15.813 * [backup-simplify]: Simplify 1 into 1
15.813 * [taylor]: Taking taylor expansion of PI in n
15.813 * [backup-simplify]: Simplify PI into PI
15.814 * [backup-simplify]: Simplify (* 0 PI) into 0
15.814 * [backup-simplify]: Simplify (* 2 0) into 0
15.816 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
15.818 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
15.819 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.819 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.819 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.819 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.820 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
15.820 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
15.821 * [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)))))
15.821 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
15.821 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
15.821 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.821 * [taylor]: Taking taylor expansion of 1/2 in k
15.821 * [backup-simplify]: Simplify 1/2 into 1/2
15.821 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.821 * [taylor]: Taking taylor expansion of 1/2 in k
15.821 * [backup-simplify]: Simplify 1/2 into 1/2
15.821 * [taylor]: Taking taylor expansion of k in k
15.821 * [backup-simplify]: Simplify 0 into 0
15.821 * [backup-simplify]: Simplify 1 into 1
15.821 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
15.821 * [taylor]: Taking taylor expansion of (log n) in k
15.821 * [taylor]: Taking taylor expansion of n in k
15.821 * [backup-simplify]: Simplify n into n
15.822 * [backup-simplify]: Simplify (log n) into (log n)
15.822 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
15.822 * [taylor]: Taking taylor expansion of (* 2 PI) in k
15.822 * [taylor]: Taking taylor expansion of 2 in k
15.822 * [backup-simplify]: Simplify 2 into 2
15.822 * [taylor]: Taking taylor expansion of PI in k
15.822 * [backup-simplify]: Simplify PI into PI
15.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
15.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.823 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.823 * [backup-simplify]: Simplify (- 0) into 0
15.823 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.824 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
15.825 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
15.825 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
15.826 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
15.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
15.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
15.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
15.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
15.829 * [backup-simplify]: Simplify (- 0) into 0
15.829 * [backup-simplify]: Simplify (+ 0 0) into 0
15.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
15.831 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
15.832 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.832 * [taylor]: Taking taylor expansion of 0 in k
15.832 * [backup-simplify]: Simplify 0 into 0
15.832 * [backup-simplify]: Simplify 0 into 0
15.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
15.833 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
15.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
15.834 * [backup-simplify]: Simplify (+ 0 0) into 0
15.835 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.835 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.835 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
15.838 * [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)))))))
15.840 * [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)))))))
15.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
15.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
15.843 * [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
15.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
15.844 * [backup-simplify]: Simplify (- 0) into 0
15.845 * [backup-simplify]: Simplify (+ 0 0) into 0
15.845 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
15.846 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
15.848 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.848 * [taylor]: Taking taylor expansion of 0 in k
15.848 * [backup-simplify]: Simplify 0 into 0
15.848 * [backup-simplify]: Simplify 0 into 0
15.848 * [backup-simplify]: Simplify 0 into 0
15.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
15.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
15.851 * [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
15.852 * [backup-simplify]: Simplify (+ 0 0) into 0
15.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.853 * [backup-simplify]: Simplify (- 0) into 0
15.853 * [backup-simplify]: Simplify (+ 0 0) into 0
15.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
15.857 * [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)))))
15.861 * [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)))))
15.880 * [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)))))
15.881 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
15.881 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
15.881 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
15.881 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
15.881 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
15.881 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.881 * [taylor]: Taking taylor expansion of 1/2 in k
15.881 * [backup-simplify]: Simplify 1/2 into 1/2
15.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.881 * [taylor]: Taking taylor expansion of 1/2 in k
15.881 * [backup-simplify]: Simplify 1/2 into 1/2
15.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.881 * [taylor]: Taking taylor expansion of k in k
15.881 * [backup-simplify]: Simplify 0 into 0
15.881 * [backup-simplify]: Simplify 1 into 1
15.881 * [backup-simplify]: Simplify (/ 1 1) into 1
15.882 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
15.882 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
15.882 * [taylor]: Taking taylor expansion of 2 in k
15.882 * [backup-simplify]: Simplify 2 into 2
15.882 * [taylor]: Taking taylor expansion of (/ PI n) in k
15.882 * [taylor]: Taking taylor expansion of PI in k
15.882 * [backup-simplify]: Simplify PI into PI
15.882 * [taylor]: Taking taylor expansion of n in k
15.882 * [backup-simplify]: Simplify n into n
15.882 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
15.882 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
15.882 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
15.882 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.883 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.883 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.883 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
15.884 * [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))))
15.884 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
15.884 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
15.884 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
15.884 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.884 * [taylor]: Taking taylor expansion of 1/2 in n
15.884 * [backup-simplify]: Simplify 1/2 into 1/2
15.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.884 * [taylor]: Taking taylor expansion of 1/2 in n
15.884 * [backup-simplify]: Simplify 1/2 into 1/2
15.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.884 * [taylor]: Taking taylor expansion of k in n
15.884 * [backup-simplify]: Simplify k into k
15.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.884 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
15.884 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
15.884 * [taylor]: Taking taylor expansion of 2 in n
15.884 * [backup-simplify]: Simplify 2 into 2
15.884 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.884 * [taylor]: Taking taylor expansion of PI in n
15.884 * [backup-simplify]: Simplify PI into PI
15.884 * [taylor]: Taking taylor expansion of n in n
15.884 * [backup-simplify]: Simplify 0 into 0
15.884 * [backup-simplify]: Simplify 1 into 1
15.885 * [backup-simplify]: Simplify (/ PI 1) into PI
15.885 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
15.887 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.887 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.887 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.887 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
15.890 * [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)))
15.891 * [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))))
15.891 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
15.891 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
15.891 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
15.891 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.892 * [taylor]: Taking taylor expansion of 1/2 in n
15.892 * [backup-simplify]: Simplify 1/2 into 1/2
15.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.892 * [taylor]: Taking taylor expansion of 1/2 in n
15.892 * [backup-simplify]: Simplify 1/2 into 1/2
15.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.892 * [taylor]: Taking taylor expansion of k in n
15.892 * [backup-simplify]: Simplify k into k
15.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.892 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
15.892 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
15.892 * [taylor]: Taking taylor expansion of 2 in n
15.892 * [backup-simplify]: Simplify 2 into 2
15.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.892 * [taylor]: Taking taylor expansion of PI in n
15.892 * [backup-simplify]: Simplify PI into PI
15.892 * [taylor]: Taking taylor expansion of n in n
15.892 * [backup-simplify]: Simplify 0 into 0
15.892 * [backup-simplify]: Simplify 1 into 1
15.893 * [backup-simplify]: Simplify (/ PI 1) into PI
15.893 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
15.894 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.894 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.895 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.895 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
15.898 * [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)))
15.899 * [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))))
15.899 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
15.899 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
15.899 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.899 * [taylor]: Taking taylor expansion of 1/2 in k
15.899 * [backup-simplify]: Simplify 1/2 into 1/2
15.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.899 * [taylor]: Taking taylor expansion of 1/2 in k
15.899 * [backup-simplify]: Simplify 1/2 into 1/2
15.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.899 * [taylor]: Taking taylor expansion of k in k
15.899 * [backup-simplify]: Simplify 0 into 0
15.899 * [backup-simplify]: Simplify 1 into 1
15.900 * [backup-simplify]: Simplify (/ 1 1) into 1
15.900 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
15.900 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
15.900 * [taylor]: Taking taylor expansion of (* 2 PI) in k
15.900 * [taylor]: Taking taylor expansion of 2 in k
15.900 * [backup-simplify]: Simplify 2 into 2
15.900 * [taylor]: Taking taylor expansion of PI in k
15.900 * [backup-simplify]: Simplify PI into PI
15.901 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
15.902 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
15.902 * [taylor]: Taking taylor expansion of (log n) in k
15.902 * [taylor]: Taking taylor expansion of n in k
15.902 * [backup-simplify]: Simplify n into n
15.902 * [backup-simplify]: Simplify (log n) into (log n)
15.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.903 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.903 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.903 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.904 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
15.906 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
15.907 * [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))))
15.908 * [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))))
15.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
15.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
15.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
15.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.913 * [backup-simplify]: Simplify (- 0) into 0
15.914 * [backup-simplify]: Simplify (+ 0 0) into 0
15.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
15.917 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
15.919 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.919 * [taylor]: Taking taylor expansion of 0 in k
15.919 * [backup-simplify]: Simplify 0 into 0
15.919 * [backup-simplify]: Simplify 0 into 0
15.919 * [backup-simplify]: Simplify 0 into 0
15.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
15.925 * [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
15.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.927 * [backup-simplify]: Simplify (- 0) into 0
15.927 * [backup-simplify]: Simplify (+ 0 0) into 0
15.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
15.931 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
15.933 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.933 * [taylor]: Taking taylor expansion of 0 in k
15.933 * [backup-simplify]: Simplify 0 into 0
15.933 * [backup-simplify]: Simplify 0 into 0
15.933 * [backup-simplify]: Simplify 0 into 0
15.933 * [backup-simplify]: Simplify 0 into 0
15.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
15.942 * [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
15.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.945 * [backup-simplify]: Simplify (- 0) into 0
15.945 * [backup-simplify]: Simplify (+ 0 0) into 0
15.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
15.949 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
15.952 * [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
15.952 * [taylor]: Taking taylor expansion of 0 in k
15.952 * [backup-simplify]: Simplify 0 into 0
15.952 * [backup-simplify]: Simplify 0 into 0
15.953 * [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)))))
15.954 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
15.954 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
15.954 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.954 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
15.954 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
15.954 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.954 * [taylor]: Taking taylor expansion of 1/2 in k
15.954 * [backup-simplify]: Simplify 1/2 into 1/2
15.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.954 * [taylor]: Taking taylor expansion of k in k
15.954 * [backup-simplify]: Simplify 0 into 0
15.954 * [backup-simplify]: Simplify 1 into 1
15.955 * [backup-simplify]: Simplify (/ 1 1) into 1
15.955 * [taylor]: Taking taylor expansion of 1/2 in k
15.955 * [backup-simplify]: Simplify 1/2 into 1/2
15.955 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
15.955 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
15.955 * [taylor]: Taking taylor expansion of -2 in k
15.955 * [backup-simplify]: Simplify -2 into -2
15.955 * [taylor]: Taking taylor expansion of (/ PI n) in k
15.955 * [taylor]: Taking taylor expansion of PI in k
15.955 * [backup-simplify]: Simplify PI into PI
15.955 * [taylor]: Taking taylor expansion of n in k
15.955 * [backup-simplify]: Simplify n into n
15.955 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
15.955 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
15.955 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
15.956 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.956 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.956 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
15.957 * [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)))
15.957 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.957 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
15.957 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
15.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.957 * [taylor]: Taking taylor expansion of 1/2 in n
15.957 * [backup-simplify]: Simplify 1/2 into 1/2
15.957 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.957 * [taylor]: Taking taylor expansion of k in n
15.957 * [backup-simplify]: Simplify k into k
15.957 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.957 * [taylor]: Taking taylor expansion of 1/2 in n
15.957 * [backup-simplify]: Simplify 1/2 into 1/2
15.957 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
15.957 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
15.957 * [taylor]: Taking taylor expansion of -2 in n
15.957 * [backup-simplify]: Simplify -2 into -2
15.957 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.957 * [taylor]: Taking taylor expansion of PI in n
15.957 * [backup-simplify]: Simplify PI into PI
15.957 * [taylor]: Taking taylor expansion of n in n
15.957 * [backup-simplify]: Simplify 0 into 0
15.957 * [backup-simplify]: Simplify 1 into 1
15.958 * [backup-simplify]: Simplify (/ PI 1) into PI
15.958 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
15.960 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
15.960 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.960 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
15.962 * [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)))
15.963 * [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))))
15.963 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.963 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
15.963 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
15.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.963 * [taylor]: Taking taylor expansion of 1/2 in n
15.963 * [backup-simplify]: Simplify 1/2 into 1/2
15.963 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.963 * [taylor]: Taking taylor expansion of k in n
15.963 * [backup-simplify]: Simplify k into k
15.963 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.963 * [taylor]: Taking taylor expansion of 1/2 in n
15.963 * [backup-simplify]: Simplify 1/2 into 1/2
15.963 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
15.963 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
15.963 * [taylor]: Taking taylor expansion of -2 in n
15.963 * [backup-simplify]: Simplify -2 into -2
15.963 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.963 * [taylor]: Taking taylor expansion of PI in n
15.963 * [backup-simplify]: Simplify PI into PI
15.963 * [taylor]: Taking taylor expansion of n in n
15.963 * [backup-simplify]: Simplify 0 into 0
15.963 * [backup-simplify]: Simplify 1 into 1
15.964 * [backup-simplify]: Simplify (/ PI 1) into PI
15.964 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
15.965 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
15.965 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.965 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
15.967 * [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)))
15.967 * [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))))
15.967 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
15.967 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
15.967 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.967 * [taylor]: Taking taylor expansion of 1/2 in k
15.967 * [backup-simplify]: Simplify 1/2 into 1/2
15.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.968 * [taylor]: Taking taylor expansion of k in k
15.968 * [backup-simplify]: Simplify 0 into 0
15.968 * [backup-simplify]: Simplify 1 into 1
15.968 * [backup-simplify]: Simplify (/ 1 1) into 1
15.968 * [taylor]: Taking taylor expansion of 1/2 in k
15.968 * [backup-simplify]: Simplify 1/2 into 1/2
15.968 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
15.968 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
15.968 * [taylor]: Taking taylor expansion of (* -2 PI) in k
15.968 * [taylor]: Taking taylor expansion of -2 in k
15.968 * [backup-simplify]: Simplify -2 into -2
15.968 * [taylor]: Taking taylor expansion of PI in k
15.968 * [backup-simplify]: Simplify PI into PI
15.968 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
15.969 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
15.969 * [taylor]: Taking taylor expansion of (log n) in k
15.969 * [taylor]: Taking taylor expansion of n in k
15.969 * [backup-simplify]: Simplify n into n
15.969 * [backup-simplify]: Simplify (log n) into (log n)
15.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.970 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.970 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.970 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
15.971 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
15.972 * [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))))
15.973 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
15.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
15.974 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
15.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
15.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.975 * [backup-simplify]: Simplify (+ 0 0) into 0
15.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
15.977 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
15.978 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.978 * [taylor]: Taking taylor expansion of 0 in k
15.978 * [backup-simplify]: Simplify 0 into 0
15.978 * [backup-simplify]: Simplify 0 into 0
15.978 * [backup-simplify]: Simplify 0 into 0
15.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.980 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
15.982 * [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
15.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.983 * [backup-simplify]: Simplify (+ 0 0) into 0
15.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
15.985 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
15.986 * [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
15.986 * [taylor]: Taking taylor expansion of 0 in k
15.986 * [backup-simplify]: Simplify 0 into 0
15.986 * [backup-simplify]: Simplify 0 into 0
15.986 * [backup-simplify]: Simplify 0 into 0
15.986 * [backup-simplify]: Simplify 0 into 0
15.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.988 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
15.991 * [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
15.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.993 * [backup-simplify]: Simplify (+ 0 0) into 0
15.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
15.995 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
15.996 * [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
15.996 * [taylor]: Taking taylor expansion of 0 in k
15.996 * [backup-simplify]: Simplify 0 into 0
15.997 * [backup-simplify]: Simplify 0 into 0
15.997 * [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)))))
15.997 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
15.998 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
15.998 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
15.998 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
15.998 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
15.998 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
15.998 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.998 * [taylor]: Taking taylor expansion of 1/2 in k
15.998 * [backup-simplify]: Simplify 1/2 into 1/2
15.998 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.998 * [taylor]: Taking taylor expansion of 1/2 in k
15.998 * [backup-simplify]: Simplify 1/2 into 1/2
15.998 * [taylor]: Taking taylor expansion of k in k
15.998 * [backup-simplify]: Simplify 0 into 0
15.998 * [backup-simplify]: Simplify 1 into 1
15.998 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
15.998 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
15.998 * [taylor]: Taking taylor expansion of 2 in k
15.998 * [backup-simplify]: Simplify 2 into 2
15.998 * [taylor]: Taking taylor expansion of (* n PI) in k
15.998 * [taylor]: Taking taylor expansion of n in k
15.998 * [backup-simplify]: Simplify n into n
15.998 * [taylor]: Taking taylor expansion of PI in k
15.998 * [backup-simplify]: Simplify PI into PI
15.998 * [backup-simplify]: Simplify (* n PI) into (* n PI)
15.998 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
15.998 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
15.999 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.999 * [backup-simplify]: Simplify (- 0) into 0
15.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.999 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
15.999 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
15.999 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
15.999 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
15.999 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
15.999 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.999 * [taylor]: Taking taylor expansion of 1/2 in n
15.999 * [backup-simplify]: Simplify 1/2 into 1/2
15.999 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.999 * [taylor]: Taking taylor expansion of 1/2 in n
15.999 * [backup-simplify]: Simplify 1/2 into 1/2
15.999 * [taylor]: Taking taylor expansion of k in n
15.999 * [backup-simplify]: Simplify k into k
15.999 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.000 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.000 * [taylor]: Taking taylor expansion of 2 in n
16.000 * [backup-simplify]: Simplify 2 into 2
16.000 * [taylor]: Taking taylor expansion of (* n PI) in n
16.000 * [taylor]: Taking taylor expansion of n in n
16.000 * [backup-simplify]: Simplify 0 into 0
16.000 * [backup-simplify]: Simplify 1 into 1
16.000 * [taylor]: Taking taylor expansion of PI in n
16.000 * [backup-simplify]: Simplify PI into PI
16.000 * [backup-simplify]: Simplify (* 0 PI) into 0
16.000 * [backup-simplify]: Simplify (* 2 0) into 0
16.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.011 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.012 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.012 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.012 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.012 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.014 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.015 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
16.016 * [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)))))
16.016 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
16.017 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
16.017 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
16.017 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.017 * [taylor]: Taking taylor expansion of 1/2 in n
16.017 * [backup-simplify]: Simplify 1/2 into 1/2
16.017 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.017 * [taylor]: Taking taylor expansion of 1/2 in n
16.017 * [backup-simplify]: Simplify 1/2 into 1/2
16.017 * [taylor]: Taking taylor expansion of k in n
16.017 * [backup-simplify]: Simplify k into k
16.017 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
16.017 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.017 * [taylor]: Taking taylor expansion of 2 in n
16.017 * [backup-simplify]: Simplify 2 into 2
16.017 * [taylor]: Taking taylor expansion of (* n PI) in n
16.017 * [taylor]: Taking taylor expansion of n in n
16.017 * [backup-simplify]: Simplify 0 into 0
16.017 * [backup-simplify]: Simplify 1 into 1
16.017 * [taylor]: Taking taylor expansion of PI in n
16.017 * [backup-simplify]: Simplify PI into PI
16.018 * [backup-simplify]: Simplify (* 0 PI) into 0
16.018 * [backup-simplify]: Simplify (* 2 0) into 0
16.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.021 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.023 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.023 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.023 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.025 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
16.026 * [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)))))
16.026 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
16.026 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
16.026 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.027 * [taylor]: Taking taylor expansion of 1/2 in k
16.027 * [backup-simplify]: Simplify 1/2 into 1/2
16.027 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.027 * [taylor]: Taking taylor expansion of 1/2 in k
16.027 * [backup-simplify]: Simplify 1/2 into 1/2
16.027 * [taylor]: Taking taylor expansion of k in k
16.027 * [backup-simplify]: Simplify 0 into 0
16.027 * [backup-simplify]: Simplify 1 into 1
16.027 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
16.027 * [taylor]: Taking taylor expansion of (log n) in k
16.027 * [taylor]: Taking taylor expansion of n in k
16.027 * [backup-simplify]: Simplify n into n
16.027 * [backup-simplify]: Simplify (log n) into (log n)
16.027 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.027 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.027 * [taylor]: Taking taylor expansion of 2 in k
16.027 * [backup-simplify]: Simplify 2 into 2
16.027 * [taylor]: Taking taylor expansion of PI in k
16.027 * [backup-simplify]: Simplify PI into PI
16.027 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.028 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.028 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.028 * [backup-simplify]: Simplify (- 0) into 0
16.029 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.029 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.030 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
16.031 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
16.031 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
16.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
16.034 * [backup-simplify]: Simplify (- 0) into 0
16.034 * [backup-simplify]: Simplify (+ 0 0) into 0
16.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.036 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
16.037 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.037 * [taylor]: Taking taylor expansion of 0 in k
16.037 * [backup-simplify]: Simplify 0 into 0
16.037 * [backup-simplify]: Simplify 0 into 0
16.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.040 * [backup-simplify]: Simplify (+ 0 0) into 0
16.040 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.041 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.041 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
16.044 * [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)))))))
16.046 * [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)))))))
16.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
16.050 * [backup-simplify]: Simplify (- 0) into 0
16.050 * [backup-simplify]: Simplify (+ 0 0) into 0
16.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
16.052 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.053 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.053 * [taylor]: Taking taylor expansion of 0 in k
16.053 * [backup-simplify]: Simplify 0 into 0
16.053 * [backup-simplify]: Simplify 0 into 0
16.053 * [backup-simplify]: Simplify 0 into 0
16.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.057 * [backup-simplify]: Simplify (+ 0 0) into 0
16.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.058 * [backup-simplify]: Simplify (- 0) into 0
16.058 * [backup-simplify]: Simplify (+ 0 0) into 0
16.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
16.062 * [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)))))
16.065 * [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)))))
16.071 * [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)))))
16.071 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
16.071 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
16.071 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
16.071 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
16.071 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
16.071 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.071 * [taylor]: Taking taylor expansion of 1/2 in k
16.071 * [backup-simplify]: Simplify 1/2 into 1/2
16.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.071 * [taylor]: Taking taylor expansion of 1/2 in k
16.071 * [backup-simplify]: Simplify 1/2 into 1/2
16.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.071 * [taylor]: Taking taylor expansion of k in k
16.071 * [backup-simplify]: Simplify 0 into 0
16.072 * [backup-simplify]: Simplify 1 into 1
16.072 * [backup-simplify]: Simplify (/ 1 1) into 1
16.072 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
16.072 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
16.072 * [taylor]: Taking taylor expansion of 2 in k
16.072 * [backup-simplify]: Simplify 2 into 2
16.072 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.072 * [taylor]: Taking taylor expansion of PI in k
16.072 * [backup-simplify]: Simplify PI into PI
16.072 * [taylor]: Taking taylor expansion of n in k
16.072 * [backup-simplify]: Simplify n into n
16.072 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.072 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
16.072 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
16.072 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.073 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.073 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.073 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
16.073 * [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))))
16.073 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
16.073 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.073 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.073 * [taylor]: Taking taylor expansion of 1/2 in n
16.073 * [backup-simplify]: Simplify 1/2 into 1/2
16.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.073 * [taylor]: Taking taylor expansion of 1/2 in n
16.073 * [backup-simplify]: Simplify 1/2 into 1/2
16.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.073 * [taylor]: Taking taylor expansion of k in n
16.073 * [backup-simplify]: Simplify k into k
16.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.073 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.073 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.073 * [taylor]: Taking taylor expansion of 2 in n
16.073 * [backup-simplify]: Simplify 2 into 2
16.073 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.073 * [taylor]: Taking taylor expansion of PI in n
16.073 * [backup-simplify]: Simplify PI into PI
16.073 * [taylor]: Taking taylor expansion of n in n
16.073 * [backup-simplify]: Simplify 0 into 0
16.073 * [backup-simplify]: Simplify 1 into 1
16.074 * [backup-simplify]: Simplify (/ PI 1) into PI
16.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.075 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.075 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.075 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.077 * [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)))
16.078 * [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))))
16.078 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
16.078 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
16.078 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
16.078 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.078 * [taylor]: Taking taylor expansion of 1/2 in n
16.078 * [backup-simplify]: Simplify 1/2 into 1/2
16.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.078 * [taylor]: Taking taylor expansion of 1/2 in n
16.078 * [backup-simplify]: Simplify 1/2 into 1/2
16.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.078 * [taylor]: Taking taylor expansion of k in n
16.078 * [backup-simplify]: Simplify k into k
16.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.078 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
16.078 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.078 * [taylor]: Taking taylor expansion of 2 in n
16.078 * [backup-simplify]: Simplify 2 into 2
16.078 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.078 * [taylor]: Taking taylor expansion of PI in n
16.078 * [backup-simplify]: Simplify PI into PI
16.078 * [taylor]: Taking taylor expansion of n in n
16.078 * [backup-simplify]: Simplify 0 into 0
16.078 * [backup-simplify]: Simplify 1 into 1
16.078 * [backup-simplify]: Simplify (/ PI 1) into PI
16.079 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.079 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.079 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.079 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.079 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.080 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.081 * [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)))
16.082 * [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))))
16.082 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
16.082 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
16.082 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.082 * [taylor]: Taking taylor expansion of 1/2 in k
16.082 * [backup-simplify]: Simplify 1/2 into 1/2
16.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.082 * [taylor]: Taking taylor expansion of 1/2 in k
16.082 * [backup-simplify]: Simplify 1/2 into 1/2
16.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.082 * [taylor]: Taking taylor expansion of k in k
16.082 * [backup-simplify]: Simplify 0 into 0
16.082 * [backup-simplify]: Simplify 1 into 1
16.083 * [backup-simplify]: Simplify (/ 1 1) into 1
16.083 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
16.083 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
16.083 * [taylor]: Taking taylor expansion of (* 2 PI) in k
16.083 * [taylor]: Taking taylor expansion of 2 in k
16.083 * [backup-simplify]: Simplify 2 into 2
16.083 * [taylor]: Taking taylor expansion of PI in k
16.083 * [backup-simplify]: Simplify PI into PI
16.083 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.084 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
16.084 * [taylor]: Taking taylor expansion of (log n) in k
16.084 * [taylor]: Taking taylor expansion of n in k
16.084 * [backup-simplify]: Simplify n into n
16.084 * [backup-simplify]: Simplify (log n) into (log n)
16.085 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.085 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.086 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.086 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.087 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
16.088 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
16.089 * [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))))
16.091 * [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))))
16.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
16.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
16.095 * [backup-simplify]: Simplify (- 0) into 0
16.096 * [backup-simplify]: Simplify (+ 0 0) into 0
16.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.098 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
16.101 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.101 * [taylor]: Taking taylor expansion of 0 in k
16.101 * [backup-simplify]: Simplify 0 into 0
16.101 * [backup-simplify]: Simplify 0 into 0
16.101 * [backup-simplify]: Simplify 0 into 0
16.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
16.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
16.107 * [backup-simplify]: Simplify (- 0) into 0
16.108 * [backup-simplify]: Simplify (+ 0 0) into 0
16.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.110 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
16.111 * [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
16.111 * [taylor]: Taking taylor expansion of 0 in k
16.111 * [backup-simplify]: Simplify 0 into 0
16.111 * [backup-simplify]: Simplify 0 into 0
16.111 * [backup-simplify]: Simplify 0 into 0
16.111 * [backup-simplify]: Simplify 0 into 0
16.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.121 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
16.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
16.123 * [backup-simplify]: Simplify (- 0) into 0
16.123 * [backup-simplify]: Simplify (+ 0 0) into 0
16.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
16.125 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
16.127 * [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
16.127 * [taylor]: Taking taylor expansion of 0 in k
16.127 * [backup-simplify]: Simplify 0 into 0
16.127 * [backup-simplify]: Simplify 0 into 0
16.127 * [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)))))
16.128 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
16.128 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
16.128 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
16.128 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
16.128 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
16.128 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.128 * [taylor]: Taking taylor expansion of 1/2 in k
16.128 * [backup-simplify]: Simplify 1/2 into 1/2
16.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.128 * [taylor]: Taking taylor expansion of k in k
16.128 * [backup-simplify]: Simplify 0 into 0
16.128 * [backup-simplify]: Simplify 1 into 1
16.128 * [backup-simplify]: Simplify (/ 1 1) into 1
16.128 * [taylor]: Taking taylor expansion of 1/2 in k
16.128 * [backup-simplify]: Simplify 1/2 into 1/2
16.128 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
16.128 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
16.128 * [taylor]: Taking taylor expansion of -2 in k
16.128 * [backup-simplify]: Simplify -2 into -2
16.129 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.129 * [taylor]: Taking taylor expansion of PI in k
16.129 * [backup-simplify]: Simplify PI into PI
16.129 * [taylor]: Taking taylor expansion of n in k
16.129 * [backup-simplify]: Simplify n into n
16.129 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.129 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
16.129 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
16.129 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.129 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.129 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
16.129 * [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)))
16.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
16.129 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
16.130 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
16.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
16.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.130 * [taylor]: Taking taylor expansion of 1/2 in n
16.130 * [backup-simplify]: Simplify 1/2 into 1/2
16.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.130 * [taylor]: Taking taylor expansion of k in n
16.130 * [backup-simplify]: Simplify k into k
16.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.130 * [taylor]: Taking taylor expansion of 1/2 in n
16.130 * [backup-simplify]: Simplify 1/2 into 1/2
16.130 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.130 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.130 * [taylor]: Taking taylor expansion of -2 in n
16.130 * [backup-simplify]: Simplify -2 into -2
16.130 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.130 * [taylor]: Taking taylor expansion of PI in n
16.130 * [backup-simplify]: Simplify PI into PI
16.130 * [taylor]: Taking taylor expansion of n in n
16.130 * [backup-simplify]: Simplify 0 into 0
16.130 * [backup-simplify]: Simplify 1 into 1
16.130 * [backup-simplify]: Simplify (/ PI 1) into PI
16.130 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.131 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.131 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.131 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
16.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.133 * [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)))
16.134 * [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))))
16.134 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
16.134 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
16.134 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
16.134 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
16.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.134 * [taylor]: Taking taylor expansion of 1/2 in n
16.134 * [backup-simplify]: Simplify 1/2 into 1/2
16.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.134 * [taylor]: Taking taylor expansion of k in n
16.134 * [backup-simplify]: Simplify k into k
16.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.134 * [taylor]: Taking taylor expansion of 1/2 in n
16.134 * [backup-simplify]: Simplify 1/2 into 1/2
16.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
16.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.134 * [taylor]: Taking taylor expansion of -2 in n
16.134 * [backup-simplify]: Simplify -2 into -2
16.134 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.134 * [taylor]: Taking taylor expansion of PI in n
16.134 * [backup-simplify]: Simplify PI into PI
16.134 * [taylor]: Taking taylor expansion of n in n
16.134 * [backup-simplify]: Simplify 0 into 0
16.134 * [backup-simplify]: Simplify 1 into 1
16.135 * [backup-simplify]: Simplify (/ PI 1) into PI
16.135 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.136 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.136 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.136 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
16.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.139 * [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)))
16.141 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
16.141 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
16.141 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
16.141 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.141 * [taylor]: Taking taylor expansion of 1/2 in k
16.141 * [backup-simplify]: Simplify 1/2 into 1/2
16.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.141 * [taylor]: Taking taylor expansion of k in k
16.141 * [backup-simplify]: Simplify 0 into 0
16.141 * [backup-simplify]: Simplify 1 into 1
16.141 * [backup-simplify]: Simplify (/ 1 1) into 1
16.142 * [taylor]: Taking taylor expansion of 1/2 in k
16.142 * [backup-simplify]: Simplify 1/2 into 1/2
16.142 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
16.142 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
16.142 * [taylor]: Taking taylor expansion of (* -2 PI) in k
16.142 * [taylor]: Taking taylor expansion of -2 in k
16.142 * [backup-simplify]: Simplify -2 into -2
16.142 * [taylor]: Taking taylor expansion of PI in k
16.142 * [backup-simplify]: Simplify PI into PI
16.142 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.143 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
16.143 * [taylor]: Taking taylor expansion of (log n) in k
16.143 * [taylor]: Taking taylor expansion of n in k
16.143 * [backup-simplify]: Simplify n into n
16.143 * [backup-simplify]: Simplify (log n) into (log n)
16.144 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.144 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.144 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.146 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
16.147 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
16.148 * [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))))
16.149 * [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))))
16.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.151 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
16.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
16.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
16.154 * [backup-simplify]: Simplify (+ 0 0) into 0
16.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.157 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
16.159 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.159 * [taylor]: Taking taylor expansion of 0 in k
16.159 * [backup-simplify]: Simplify 0 into 0
16.159 * [backup-simplify]: Simplify 0 into 0
16.160 * [backup-simplify]: Simplify 0 into 0
16.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
16.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
16.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
16.167 * [backup-simplify]: Simplify (+ 0 0) into 0
16.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.170 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
16.173 * [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
16.173 * [taylor]: Taking taylor expansion of 0 in k
16.173 * [backup-simplify]: Simplify 0 into 0
16.173 * [backup-simplify]: Simplify 0 into 0
16.173 * [backup-simplify]: Simplify 0 into 0
16.173 * [backup-simplify]: Simplify 0 into 0
16.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.176 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.182 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
16.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
16.184 * [backup-simplify]: Simplify (+ 0 0) into 0
16.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
16.188 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
16.190 * [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
16.190 * [taylor]: Taking taylor expansion of 0 in k
16.190 * [backup-simplify]: Simplify 0 into 0
16.190 * [backup-simplify]: Simplify 0 into 0
16.191 * [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)))))
16.191 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
16.192 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
16.192 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
16.192 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.192 * [taylor]: Taking taylor expansion of 2 in n
16.192 * [backup-simplify]: Simplify 2 into 2
16.192 * [taylor]: Taking taylor expansion of (* n PI) in n
16.192 * [taylor]: Taking taylor expansion of n in n
16.192 * [backup-simplify]: Simplify 0 into 0
16.192 * [backup-simplify]: Simplify 1 into 1
16.192 * [taylor]: Taking taylor expansion of PI in n
16.192 * [backup-simplify]: Simplify PI into PI
16.192 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.192 * [taylor]: Taking taylor expansion of 2 in n
16.192 * [backup-simplify]: Simplify 2 into 2
16.192 * [taylor]: Taking taylor expansion of (* n PI) in n
16.192 * [taylor]: Taking taylor expansion of n in n
16.192 * [backup-simplify]: Simplify 0 into 0
16.192 * [backup-simplify]: Simplify 1 into 1
16.192 * [taylor]: Taking taylor expansion of PI in n
16.192 * [backup-simplify]: Simplify PI into PI
16.192 * [backup-simplify]: Simplify (* 0 PI) into 0
16.193 * [backup-simplify]: Simplify (* 2 0) into 0
16.193 * [backup-simplify]: Simplify 0 into 0
16.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.195 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.195 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.196 * [backup-simplify]: Simplify 0 into 0
16.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.198 * [backup-simplify]: Simplify 0 into 0
16.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
16.199 * [backup-simplify]: Simplify 0 into 0
16.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
16.201 * [backup-simplify]: Simplify 0 into 0
16.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
16.203 * [backup-simplify]: Simplify 0 into 0
16.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
16.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
16.206 * [backup-simplify]: Simplify 0 into 0
16.206 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
16.206 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
16.206 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
16.206 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.206 * [taylor]: Taking taylor expansion of 2 in n
16.206 * [backup-simplify]: Simplify 2 into 2
16.206 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.206 * [taylor]: Taking taylor expansion of PI in n
16.206 * [backup-simplify]: Simplify PI into PI
16.206 * [taylor]: Taking taylor expansion of n in n
16.206 * [backup-simplify]: Simplify 0 into 0
16.206 * [backup-simplify]: Simplify 1 into 1
16.207 * [backup-simplify]: Simplify (/ PI 1) into PI
16.207 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.207 * [taylor]: Taking taylor expansion of 2 in n
16.207 * [backup-simplify]: Simplify 2 into 2
16.207 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.207 * [taylor]: Taking taylor expansion of PI in n
16.207 * [backup-simplify]: Simplify PI into PI
16.207 * [taylor]: Taking taylor expansion of n in n
16.207 * [backup-simplify]: Simplify 0 into 0
16.207 * [backup-simplify]: Simplify 1 into 1
16.207 * [backup-simplify]: Simplify (/ PI 1) into PI
16.208 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.208 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.209 * [backup-simplify]: Simplify 0 into 0
16.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.210 * [backup-simplify]: Simplify 0 into 0
16.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.212 * [backup-simplify]: Simplify 0 into 0
16.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.213 * [backup-simplify]: Simplify 0 into 0
16.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.215 * [backup-simplify]: Simplify 0 into 0
16.216 * [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
16.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.217 * [backup-simplify]: Simplify 0 into 0
16.217 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
16.217 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
16.217 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
16.217 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.217 * [taylor]: Taking taylor expansion of -2 in n
16.217 * [backup-simplify]: Simplify -2 into -2
16.217 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.217 * [taylor]: Taking taylor expansion of PI in n
16.217 * [backup-simplify]: Simplify PI into PI
16.217 * [taylor]: Taking taylor expansion of n in n
16.218 * [backup-simplify]: Simplify 0 into 0
16.218 * [backup-simplify]: Simplify 1 into 1
16.218 * [backup-simplify]: Simplify (/ PI 1) into PI
16.218 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.218 * [taylor]: Taking taylor expansion of -2 in n
16.218 * [backup-simplify]: Simplify -2 into -2
16.218 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.218 * [taylor]: Taking taylor expansion of PI in n
16.218 * [backup-simplify]: Simplify PI into PI
16.218 * [taylor]: Taking taylor expansion of n in n
16.218 * [backup-simplify]: Simplify 0 into 0
16.218 * [backup-simplify]: Simplify 1 into 1
16.218 * [backup-simplify]: Simplify (/ PI 1) into PI
16.219 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.219 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.220 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
16.220 * [backup-simplify]: Simplify 0 into 0
16.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.221 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
16.221 * [backup-simplify]: Simplify 0 into 0
16.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.223 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.223 * [backup-simplify]: Simplify 0 into 0
16.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.226 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.226 * [backup-simplify]: Simplify 0 into 0
16.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.229 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.229 * [backup-simplify]: Simplify 0 into 0
16.230 * [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
16.232 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.232 * [backup-simplify]: Simplify 0 into 0
16.233 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
16.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
16.233 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
16.233 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
16.233 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.234 * [taylor]: Taking taylor expansion of 2 in n
16.234 * [backup-simplify]: Simplify 2 into 2
16.234 * [taylor]: Taking taylor expansion of (* n PI) in n
16.234 * [taylor]: Taking taylor expansion of n in n
16.234 * [backup-simplify]: Simplify 0 into 0
16.234 * [backup-simplify]: Simplify 1 into 1
16.234 * [taylor]: Taking taylor expansion of PI in n
16.234 * [backup-simplify]: Simplify PI into PI
16.234 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
16.234 * [taylor]: Taking taylor expansion of 2 in n
16.234 * [backup-simplify]: Simplify 2 into 2
16.234 * [taylor]: Taking taylor expansion of (* n PI) in n
16.234 * [taylor]: Taking taylor expansion of n in n
16.234 * [backup-simplify]: Simplify 0 into 0
16.234 * [backup-simplify]: Simplify 1 into 1
16.234 * [taylor]: Taking taylor expansion of PI in n
16.234 * [backup-simplify]: Simplify PI into PI
16.235 * [backup-simplify]: Simplify (* 0 PI) into 0
16.235 * [backup-simplify]: Simplify (* 2 0) into 0
16.235 * [backup-simplify]: Simplify 0 into 0
16.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.238 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
16.239 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
16.241 * [backup-simplify]: Simplify 0 into 0
16.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.251 * [backup-simplify]: Simplify 0 into 0
16.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
16.254 * [backup-simplify]: Simplify 0 into 0
16.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
16.258 * [backup-simplify]: Simplify 0 into 0
16.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
16.260 * [backup-simplify]: Simplify 0 into 0
16.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
16.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
16.263 * [backup-simplify]: Simplify 0 into 0
16.263 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
16.263 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
16.263 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
16.263 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.263 * [taylor]: Taking taylor expansion of 2 in n
16.263 * [backup-simplify]: Simplify 2 into 2
16.263 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.263 * [taylor]: Taking taylor expansion of PI in n
16.263 * [backup-simplify]: Simplify PI into PI
16.264 * [taylor]: Taking taylor expansion of n in n
16.264 * [backup-simplify]: Simplify 0 into 0
16.264 * [backup-simplify]: Simplify 1 into 1
16.264 * [backup-simplify]: Simplify (/ PI 1) into PI
16.264 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
16.264 * [taylor]: Taking taylor expansion of 2 in n
16.264 * [backup-simplify]: Simplify 2 into 2
16.264 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.264 * [taylor]: Taking taylor expansion of PI in n
16.264 * [backup-simplify]: Simplify PI into PI
16.264 * [taylor]: Taking taylor expansion of n in n
16.264 * [backup-simplify]: Simplify 0 into 0
16.264 * [backup-simplify]: Simplify 1 into 1
16.264 * [backup-simplify]: Simplify (/ PI 1) into PI
16.265 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.265 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
16.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.266 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
16.266 * [backup-simplify]: Simplify 0 into 0
16.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
16.267 * [backup-simplify]: Simplify 0 into 0
16.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.269 * [backup-simplify]: Simplify 0 into 0
16.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.270 * [backup-simplify]: Simplify 0 into 0
16.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.272 * [backup-simplify]: Simplify 0 into 0
16.272 * [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
16.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.273 * [backup-simplify]: Simplify 0 into 0
16.274 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
16.274 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
16.274 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
16.274 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.274 * [taylor]: Taking taylor expansion of -2 in n
16.274 * [backup-simplify]: Simplify -2 into -2
16.274 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.274 * [taylor]: Taking taylor expansion of PI in n
16.274 * [backup-simplify]: Simplify PI into PI
16.274 * [taylor]: Taking taylor expansion of n in n
16.274 * [backup-simplify]: Simplify 0 into 0
16.274 * [backup-simplify]: Simplify 1 into 1
16.275 * [backup-simplify]: Simplify (/ PI 1) into PI
16.275 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
16.275 * [taylor]: Taking taylor expansion of -2 in n
16.275 * [backup-simplify]: Simplify -2 into -2
16.275 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.275 * [taylor]: Taking taylor expansion of PI in n
16.275 * [backup-simplify]: Simplify PI into PI
16.275 * [taylor]: Taking taylor expansion of n in n
16.275 * [backup-simplify]: Simplify 0 into 0
16.275 * [backup-simplify]: Simplify 1 into 1
16.275 * [backup-simplify]: Simplify (/ PI 1) into PI
16.275 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.276 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
16.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.277 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
16.277 * [backup-simplify]: Simplify 0 into 0
16.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.278 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
16.278 * [backup-simplify]: Simplify 0 into 0
16.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.279 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.279 * [backup-simplify]: Simplify 0 into 0
16.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.281 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.281 * [backup-simplify]: Simplify 0 into 0
16.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.282 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
16.282 * [backup-simplify]: Simplify 0 into 0
16.283 * [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
16.284 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
16.284 * [backup-simplify]: Simplify 0 into 0
16.285 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
16.285 * * * [progress]: simplifying candidates
16.285 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.285 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.285 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2)))) (sqrt k))))>
16.285 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
16.285 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
16.285 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
16.285 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.286 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (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))))>
16.287 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))) (sqrt k))))>
16.288 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))) (sqrt k))))>
16.288 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt k))))>
16.288 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt k))))>
16.288 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
16.288 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)) (sqrt k))))>
16.288 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))))>
16.288 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt k))))>
16.288 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 70 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 72 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 73 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 74 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 75 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 76 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 77 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.288 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 79 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 80 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 81 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 82 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 83 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 84 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 85 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 88 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 89 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 91 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 92 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 93 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 94 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 95 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.289 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 99 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 100 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 101 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 102 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 103 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 110 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 111 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 114 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 115 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.290 * * * * [progress]: [ 116 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 117 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 119 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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))))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 120 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (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)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 121 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 124 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 125 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 126 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 127 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 128 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.291 * * * * [progress]: [ 135 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (log1p (expm1 (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 136 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (expm1 (log1p (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 137 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 138 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 139 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 140 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 141 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 142 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 143 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 144 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 145 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 146 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 150 / 188 ] 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))))>
16.292 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2)))) (sqrt k))))>
16.292 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (log1p (expm1 (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (expm1 (log1p (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 171 / 188 ] 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))))>
16.293 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.293 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))) (sqrt k))))>
16.293 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))))>
16.294 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))))>
16.294 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.294 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
16.296 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
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  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
16.301 * * [simplify]: iteration 0: 292 enodes
16.418 * * [simplify]: iteration 1: 900 enodes
16.768 * * [simplify]: iteration 2: 2000 enodes
17.214 * * [simplify]: iteration complete: 2000 enodes
17.214 * * [simplify]: Extracting #0: cost 62 inf + 0
17.215 * * [simplify]: Extracting #1: cost 332 inf + 0
17.217 * * [simplify]: Extracting #2: cost 681 inf + 1768
17.221 * * [simplify]: Extracting #3: cost 785 inf + 15150
17.235 * * [simplify]: Extracting #4: cost 618 inf + 54519
17.263 * * [simplify]: Extracting #5: cost 287 inf + 164102
17.303 * * [simplify]: Extracting #6: cost 108 inf + 250766
17.361 * * [simplify]: Extracting #7: cost 34 inf + 291936
17.413 * * [simplify]: Extracting #8: cost 4 inf + 308847
17.501 * * [simplify]: Extracting #9: cost 0 inf + 311182
17.590 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (log1p (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* 1/2 k))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (* 1/2 k))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (* 1/2 k))))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* -1/2 k))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* -1/2 k))
  (pow n (- 1/2 (* 1/2 k)))
  (pow (* PI 2) (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (* (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))) (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))) (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (pow (* (* PI 2) n) (/ (- 1/2 (* 1/2 k)) 2))
  (pow (* (* PI 2) n) (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (expm1 (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (log1p (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* 1/2 k))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (* 1/2 k))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (* 1/2 k))))
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (* -1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* (* PI 2) n) (+ (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (+ (- (/ (cbrt k) (sqrt 2))) (/ (cbrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (* (- (/ (cbrt k) 2)) (cbrt k)) (cbrt k))))
  (pow (* (* PI 2) n) (* (* (cbrt k) (cbrt k)) (+ (- (/ (cbrt k) 2)) (/ (cbrt k) 2))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (cbrt 2)) (/ (- (/ (sqrt k) (cbrt 2))) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (/ (sqrt k) (cbrt 2)) (cbrt 2)) (+ (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (* (/ (sqrt k) (sqrt 2)) (- (/ (sqrt k) (sqrt 2))))))
  (pow (* (* PI 2) n) (* (/ (sqrt k) (sqrt 2)) (+ (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (+ 1/2 (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2))))))
  (pow (* (* PI 2) n) (+ (- (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ k (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (+ 1/2 (/ (/ (- k) (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (fma (/ k (sqrt 2)) (/ -1 (sqrt 2)) (/ (/ k (sqrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))
  (pow (* (* PI 2) n) (fma (* 1/2 k) -1 (* 1/2 k)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* -1/2 k))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (* -1/2 k))
  (pow n (- 1/2 (* 1/2 k)))
  (pow (* PI 2) (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (* (* (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))) (pow (* (* PI 2) n) (- 1/2 (* 1/2 k)))) (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (pow (* (* PI 2) n) (/ (- 1/2 (* 1/2 k)) 2))
  (pow (* (* PI 2) n) (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (* 1/2 k))))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* (* PI PI) PI) 8) (* (* n n) n))
  (* (* (* n n) n) (* (* PI 2) (* (* PI 2) (* PI 2))))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* (* PI PI) PI) 8) (* (* n n) n))
  (* (* (* n n) n) (* (* PI 2) (* (* PI 2) (* PI 2))))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (fma (* 1/4 (log (* PI 2))) (* (* (* k k) (exp (* 1/2 (log (* (* PI 2) n))))) (log n)) (- (fma 1/8 (* (exp (* 1/2 (log (* (* PI 2) n)))) (* (* (log n) k) (* (log n) k))) (fma (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* 1/2 (log (* (* PI 2) n))))) (* k k)) 1/8 (exp (* 1/2 (log (* (* PI 2) n)))))) (* 1/2 (* k (+ (* (exp (* 1/2 (log (* (* PI 2) n)))) (log n)) (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))))))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (fma (* 1/4 (log (* PI 2))) (* (* (* k k) (exp (* 1/2 (log (* (* PI 2) n))))) (log n)) (- (fma 1/8 (* (exp (* 1/2 (log (* (* PI 2) n)))) (* (* (log n) k) (* (log n) k))) (fma (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* 1/2 (log (* (* PI 2) n))))) (* k k)) 1/8 (exp (* 1/2 (log (* (* PI 2) n)))))) (* 1/2 (* k (+ (* (exp (* 1/2 (log (* (* PI 2) n)))) (log n)) (* (log (* PI 2)) (exp (* 1/2 (log (* (* PI 2) n))))))))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
17.631 * * * [progress]: adding candidates to table
21.011 * * [progress]: iteration 4 / 4
21.011 * * * [progress]: picking best candidate
21.060 * * * * [pick]: Picked  #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
21.060 * * * [progress]: localizing error
21.119 * * * [progress]: generating rewritten candidates
21.119 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
21.148 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
21.163 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
21.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
21.396 * * * [progress]: generating series expansions
21.396 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
21.419 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
21.419 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
21.419 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
21.419 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
21.419 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
21.419 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.419 * [taylor]: Taking taylor expansion of 1/2 in k
21.419 * [backup-simplify]: Simplify 1/2 into 1/2
21.419 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.419 * [taylor]: Taking taylor expansion of 1/2 in k
21.419 * [backup-simplify]: Simplify 1/2 into 1/2
21.419 * [taylor]: Taking taylor expansion of k in k
21.419 * [backup-simplify]: Simplify 0 into 0
21.419 * [backup-simplify]: Simplify 1 into 1
21.419 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
21.419 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
21.419 * [taylor]: Taking taylor expansion of 2 in k
21.419 * [backup-simplify]: Simplify 2 into 2
21.419 * [taylor]: Taking taylor expansion of (* n PI) in k
21.419 * [taylor]: Taking taylor expansion of n in k
21.419 * [backup-simplify]: Simplify n into n
21.419 * [taylor]: Taking taylor expansion of PI in k
21.419 * [backup-simplify]: Simplify PI into PI
21.419 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.419 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
21.419 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
21.420 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.420 * [backup-simplify]: Simplify (- 0) into 0
21.420 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.420 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
21.420 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
21.420 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.420 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.420 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.420 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.420 * [taylor]: Taking taylor expansion of 1/2 in n
21.420 * [backup-simplify]: Simplify 1/2 into 1/2
21.420 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.420 * [taylor]: Taking taylor expansion of 1/2 in n
21.420 * [backup-simplify]: Simplify 1/2 into 1/2
21.420 * [taylor]: Taking taylor expansion of k in n
21.420 * [backup-simplify]: Simplify k into k
21.420 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.420 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.420 * [taylor]: Taking taylor expansion of 2 in n
21.420 * [backup-simplify]: Simplify 2 into 2
21.420 * [taylor]: Taking taylor expansion of (* n PI) in n
21.420 * [taylor]: Taking taylor expansion of n in n
21.420 * [backup-simplify]: Simplify 0 into 0
21.420 * [backup-simplify]: Simplify 1 into 1
21.420 * [taylor]: Taking taylor expansion of PI in n
21.420 * [backup-simplify]: Simplify PI into PI
21.421 * [backup-simplify]: Simplify (* 0 PI) into 0
21.421 * [backup-simplify]: Simplify (* 2 0) into 0
21.422 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.423 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.424 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.424 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.424 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.424 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.425 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.426 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.426 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.426 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.426 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.426 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.426 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.426 * [taylor]: Taking taylor expansion of 1/2 in n
21.426 * [backup-simplify]: Simplify 1/2 into 1/2
21.426 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.426 * [taylor]: Taking taylor expansion of 1/2 in n
21.426 * [backup-simplify]: Simplify 1/2 into 1/2
21.426 * [taylor]: Taking taylor expansion of k in n
21.426 * [backup-simplify]: Simplify k into k
21.426 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.426 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.426 * [taylor]: Taking taylor expansion of 2 in n
21.426 * [backup-simplify]: Simplify 2 into 2
21.427 * [taylor]: Taking taylor expansion of (* n PI) in n
21.427 * [taylor]: Taking taylor expansion of n in n
21.427 * [backup-simplify]: Simplify 0 into 0
21.427 * [backup-simplify]: Simplify 1 into 1
21.427 * [taylor]: Taking taylor expansion of PI in n
21.427 * [backup-simplify]: Simplify PI into PI
21.427 * [backup-simplify]: Simplify (* 0 PI) into 0
21.427 * [backup-simplify]: Simplify (* 2 0) into 0
21.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.429 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.430 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.430 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.430 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.430 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.431 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.432 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.433 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.433 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
21.433 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
21.433 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.433 * [taylor]: Taking taylor expansion of 1/2 in k
21.433 * [backup-simplify]: Simplify 1/2 into 1/2
21.433 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.433 * [taylor]: Taking taylor expansion of 1/2 in k
21.433 * [backup-simplify]: Simplify 1/2 into 1/2
21.433 * [taylor]: Taking taylor expansion of k in k
21.433 * [backup-simplify]: Simplify 0 into 0
21.433 * [backup-simplify]: Simplify 1 into 1
21.433 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
21.433 * [taylor]: Taking taylor expansion of (log n) in k
21.433 * [taylor]: Taking taylor expansion of n in k
21.433 * [backup-simplify]: Simplify n into n
21.433 * [backup-simplify]: Simplify (log n) into (log n)
21.433 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.433 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.433 * [taylor]: Taking taylor expansion of 2 in k
21.433 * [backup-simplify]: Simplify 2 into 2
21.433 * [taylor]: Taking taylor expansion of PI in k
21.433 * [backup-simplify]: Simplify PI into PI
21.433 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.434 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.434 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.435 * [backup-simplify]: Simplify (- 0) into 0
21.435 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.436 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.436 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
21.437 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.438 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
21.441 * [backup-simplify]: Simplify (- 0) into 0
21.441 * [backup-simplify]: Simplify (+ 0 0) into 0
21.442 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.442 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
21.444 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.444 * [taylor]: Taking taylor expansion of 0 in k
21.444 * [backup-simplify]: Simplify 0 into 0
21.444 * [backup-simplify]: Simplify 0 into 0
21.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.445 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.446 * [backup-simplify]: Simplify (+ 0 0) into 0
21.446 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.447 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.447 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
21.450 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.453 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
21.461 * [backup-simplify]: Simplify (- 0) into 0
21.461 * [backup-simplify]: Simplify (+ 0 0) into 0
21.463 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.465 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.468 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.468 * [taylor]: Taking taylor expansion of 0 in k
21.468 * [backup-simplify]: Simplify 0 into 0
21.468 * [backup-simplify]: Simplify 0 into 0
21.468 * [backup-simplify]: Simplify 0 into 0
21.470 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.475 * [backup-simplify]: Simplify (+ 0 0) into 0
21.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
21.477 * [backup-simplify]: Simplify (- 0) into 0
21.477 * [backup-simplify]: Simplify (+ 0 0) into 0
21.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.483 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.488 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.499 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
21.499 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.499 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
21.499 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
21.499 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
21.500 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
21.500 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.500 * [taylor]: Taking taylor expansion of 1/2 in k
21.500 * [backup-simplify]: Simplify 1/2 into 1/2
21.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.500 * [taylor]: Taking taylor expansion of 1/2 in k
21.500 * [backup-simplify]: Simplify 1/2 into 1/2
21.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.500 * [taylor]: Taking taylor expansion of k in k
21.500 * [backup-simplify]: Simplify 0 into 0
21.500 * [backup-simplify]: Simplify 1 into 1
21.500 * [backup-simplify]: Simplify (/ 1 1) into 1
21.500 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
21.500 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
21.500 * [taylor]: Taking taylor expansion of 2 in k
21.500 * [backup-simplify]: Simplify 2 into 2
21.500 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.500 * [taylor]: Taking taylor expansion of PI in k
21.500 * [backup-simplify]: Simplify PI into PI
21.500 * [taylor]: Taking taylor expansion of n in k
21.500 * [backup-simplify]: Simplify n into n
21.500 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.501 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
21.501 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
21.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.501 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.502 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.502 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
21.502 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.502 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.502 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.502 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.502 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.502 * [taylor]: Taking taylor expansion of 1/2 in n
21.502 * [backup-simplify]: Simplify 1/2 into 1/2
21.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.503 * [taylor]: Taking taylor expansion of 1/2 in n
21.503 * [backup-simplify]: Simplify 1/2 into 1/2
21.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.503 * [taylor]: Taking taylor expansion of k in n
21.503 * [backup-simplify]: Simplify k into k
21.503 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.503 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.503 * [taylor]: Taking taylor expansion of 2 in n
21.503 * [backup-simplify]: Simplify 2 into 2
21.503 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.503 * [taylor]: Taking taylor expansion of PI in n
21.503 * [backup-simplify]: Simplify PI into PI
21.503 * [taylor]: Taking taylor expansion of n in n
21.503 * [backup-simplify]: Simplify 0 into 0
21.503 * [backup-simplify]: Simplify 1 into 1
21.504 * [backup-simplify]: Simplify (/ PI 1) into PI
21.504 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.505 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.505 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.505 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.505 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.508 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.509 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.509 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.509 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.510 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.510 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.510 * [taylor]: Taking taylor expansion of 1/2 in n
21.510 * [backup-simplify]: Simplify 1/2 into 1/2
21.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.510 * [taylor]: Taking taylor expansion of 1/2 in n
21.510 * [backup-simplify]: Simplify 1/2 into 1/2
21.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.510 * [taylor]: Taking taylor expansion of k in n
21.510 * [backup-simplify]: Simplify k into k
21.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.510 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.510 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.510 * [taylor]: Taking taylor expansion of 2 in n
21.510 * [backup-simplify]: Simplify 2 into 2
21.510 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.510 * [taylor]: Taking taylor expansion of PI in n
21.510 * [backup-simplify]: Simplify PI into PI
21.510 * [taylor]: Taking taylor expansion of n in n
21.510 * [backup-simplify]: Simplify 0 into 0
21.510 * [backup-simplify]: Simplify 1 into 1
21.511 * [backup-simplify]: Simplify (/ PI 1) into PI
21.511 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.512 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.512 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.512 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.514 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.515 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.516 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.517 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
21.517 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
21.517 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.517 * [taylor]: Taking taylor expansion of 1/2 in k
21.517 * [backup-simplify]: Simplify 1/2 into 1/2
21.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.517 * [taylor]: Taking taylor expansion of 1/2 in k
21.517 * [backup-simplify]: Simplify 1/2 into 1/2
21.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.517 * [taylor]: Taking taylor expansion of k in k
21.517 * [backup-simplify]: Simplify 0 into 0
21.517 * [backup-simplify]: Simplify 1 into 1
21.517 * [backup-simplify]: Simplify (/ 1 1) into 1
21.517 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
21.517 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.517 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.517 * [taylor]: Taking taylor expansion of 2 in k
21.518 * [backup-simplify]: Simplify 2 into 2
21.518 * [taylor]: Taking taylor expansion of PI in k
21.518 * [backup-simplify]: Simplify PI into PI
21.518 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.520 * [taylor]: Taking taylor expansion of (log n) in k
21.520 * [taylor]: Taking taylor expansion of n in k
21.520 * [backup-simplify]: Simplify n into n
21.520 * [backup-simplify]: Simplify (log n) into (log n)
21.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.521 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.521 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.521 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.522 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
21.523 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
21.525 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.526 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.528 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.531 * [backup-simplify]: Simplify (- 0) into 0
21.531 * [backup-simplify]: Simplify (+ 0 0) into 0
21.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.534 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
21.536 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.536 * [taylor]: Taking taylor expansion of 0 in k
21.536 * [backup-simplify]: Simplify 0 into 0
21.536 * [backup-simplify]: Simplify 0 into 0
21.536 * [backup-simplify]: Simplify 0 into 0
21.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.544 * [backup-simplify]: Simplify (- 0) into 0
21.544 * [backup-simplify]: Simplify (+ 0 0) into 0
21.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.555 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
21.558 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.558 * [taylor]: Taking taylor expansion of 0 in k
21.558 * [backup-simplify]: Simplify 0 into 0
21.558 * [backup-simplify]: Simplify 0 into 0
21.558 * [backup-simplify]: Simplify 0 into 0
21.558 * [backup-simplify]: Simplify 0 into 0
21.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.567 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
21.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.569 * [backup-simplify]: Simplify (- 0) into 0
21.569 * [backup-simplify]: Simplify (+ 0 0) into 0
21.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.573 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
21.576 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.576 * [taylor]: Taking taylor expansion of 0 in k
21.576 * [backup-simplify]: Simplify 0 into 0
21.576 * [backup-simplify]: Simplify 0 into 0
21.577 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
21.578 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
21.578 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
21.578 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
21.578 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
21.578 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
21.578 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.578 * [taylor]: Taking taylor expansion of 1/2 in k
21.578 * [backup-simplify]: Simplify 1/2 into 1/2
21.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.578 * [taylor]: Taking taylor expansion of k in k
21.578 * [backup-simplify]: Simplify 0 into 0
21.578 * [backup-simplify]: Simplify 1 into 1
21.578 * [backup-simplify]: Simplify (/ 1 1) into 1
21.578 * [taylor]: Taking taylor expansion of 1/2 in k
21.578 * [backup-simplify]: Simplify 1/2 into 1/2
21.578 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
21.578 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
21.578 * [taylor]: Taking taylor expansion of -2 in k
21.579 * [backup-simplify]: Simplify -2 into -2
21.579 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.579 * [taylor]: Taking taylor expansion of PI in k
21.579 * [backup-simplify]: Simplify PI into PI
21.579 * [taylor]: Taking taylor expansion of n in k
21.579 * [backup-simplify]: Simplify n into n
21.579 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.579 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
21.579 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
21.579 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.579 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.580 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
21.580 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
21.580 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.580 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.580 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.580 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.580 * [taylor]: Taking taylor expansion of 1/2 in n
21.580 * [backup-simplify]: Simplify 1/2 into 1/2
21.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.580 * [taylor]: Taking taylor expansion of k in n
21.580 * [backup-simplify]: Simplify k into k
21.580 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.580 * [taylor]: Taking taylor expansion of 1/2 in n
21.580 * [backup-simplify]: Simplify 1/2 into 1/2
21.580 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.580 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.580 * [taylor]: Taking taylor expansion of -2 in n
21.580 * [backup-simplify]: Simplify -2 into -2
21.580 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.580 * [taylor]: Taking taylor expansion of PI in n
21.580 * [backup-simplify]: Simplify PI into PI
21.580 * [taylor]: Taking taylor expansion of n in n
21.580 * [backup-simplify]: Simplify 0 into 0
21.580 * [backup-simplify]: Simplify 1 into 1
21.580 * [backup-simplify]: Simplify (/ PI 1) into PI
21.581 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.581 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.581 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.581 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.582 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.583 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.584 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.584 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.584 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.584 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.584 * [taylor]: Taking taylor expansion of 1/2 in n
21.584 * [backup-simplify]: Simplify 1/2 into 1/2
21.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.584 * [taylor]: Taking taylor expansion of k in n
21.584 * [backup-simplify]: Simplify k into k
21.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.584 * [taylor]: Taking taylor expansion of 1/2 in n
21.584 * [backup-simplify]: Simplify 1/2 into 1/2
21.584 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.584 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.584 * [taylor]: Taking taylor expansion of -2 in n
21.584 * [backup-simplify]: Simplify -2 into -2
21.584 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.584 * [taylor]: Taking taylor expansion of PI in n
21.584 * [backup-simplify]: Simplify PI into PI
21.584 * [taylor]: Taking taylor expansion of n in n
21.584 * [backup-simplify]: Simplify 0 into 0
21.584 * [backup-simplify]: Simplify 1 into 1
21.585 * [backup-simplify]: Simplify (/ PI 1) into PI
21.585 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.585 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.586 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.586 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.587 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.588 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.588 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
21.588 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
21.588 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.588 * [taylor]: Taking taylor expansion of 1/2 in k
21.588 * [backup-simplify]: Simplify 1/2 into 1/2
21.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.588 * [taylor]: Taking taylor expansion of k in k
21.588 * [backup-simplify]: Simplify 0 into 0
21.588 * [backup-simplify]: Simplify 1 into 1
21.588 * [backup-simplify]: Simplify (/ 1 1) into 1
21.588 * [taylor]: Taking taylor expansion of 1/2 in k
21.588 * [backup-simplify]: Simplify 1/2 into 1/2
21.588 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
21.588 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
21.589 * [taylor]: Taking taylor expansion of (* -2 PI) in k
21.589 * [taylor]: Taking taylor expansion of -2 in k
21.589 * [backup-simplify]: Simplify -2 into -2
21.589 * [taylor]: Taking taylor expansion of PI in k
21.589 * [backup-simplify]: Simplify PI into PI
21.589 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.590 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.590 * [taylor]: Taking taylor expansion of (log n) in k
21.590 * [taylor]: Taking taylor expansion of n in k
21.590 * [backup-simplify]: Simplify n into n
21.590 * [backup-simplify]: Simplify (log n) into (log n)
21.590 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.590 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.590 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.591 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
21.592 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
21.592 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.593 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.594 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
21.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
21.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.596 * [backup-simplify]: Simplify (+ 0 0) into 0
21.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.597 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
21.599 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.599 * [taylor]: Taking taylor expansion of 0 in k
21.599 * [backup-simplify]: Simplify 0 into 0
21.599 * [backup-simplify]: Simplify 0 into 0
21.599 * [backup-simplify]: Simplify 0 into 0
21.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.600 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
21.602 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
21.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.603 * [backup-simplify]: Simplify (+ 0 0) into 0
21.604 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.605 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
21.606 * [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
21.606 * [taylor]: Taking taylor expansion of 0 in k
21.606 * [backup-simplify]: Simplify 0 into 0
21.607 * [backup-simplify]: Simplify 0 into 0
21.607 * [backup-simplify]: Simplify 0 into 0
21.607 * [backup-simplify]: Simplify 0 into 0
21.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.609 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.616 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
21.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.618 * [backup-simplify]: Simplify (+ 0 0) into 0
21.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.622 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
21.624 * [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
21.624 * [taylor]: Taking taylor expansion of 0 in k
21.624 * [backup-simplify]: Simplify 0 into 0
21.624 * [backup-simplify]: Simplify 0 into 0
21.626 * [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)))))
21.626 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
21.626 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
21.626 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
21.627 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
21.627 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
21.627 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
21.627 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.627 * [taylor]: Taking taylor expansion of 1/2 in k
21.627 * [backup-simplify]: Simplify 1/2 into 1/2
21.627 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.627 * [taylor]: Taking taylor expansion of 1/2 in k
21.627 * [backup-simplify]: Simplify 1/2 into 1/2
21.627 * [taylor]: Taking taylor expansion of k in k
21.627 * [backup-simplify]: Simplify 0 into 0
21.627 * [backup-simplify]: Simplify 1 into 1
21.627 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
21.627 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
21.627 * [taylor]: Taking taylor expansion of 2 in k
21.627 * [backup-simplify]: Simplify 2 into 2
21.627 * [taylor]: Taking taylor expansion of (* n PI) in k
21.627 * [taylor]: Taking taylor expansion of n in k
21.627 * [backup-simplify]: Simplify n into n
21.627 * [taylor]: Taking taylor expansion of PI in k
21.627 * [backup-simplify]: Simplify PI into PI
21.627 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.627 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
21.627 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
21.628 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.628 * [backup-simplify]: Simplify (- 0) into 0
21.628 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.628 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
21.629 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
21.629 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.629 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.629 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.629 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.629 * [taylor]: Taking taylor expansion of 1/2 in n
21.629 * [backup-simplify]: Simplify 1/2 into 1/2
21.629 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.629 * [taylor]: Taking taylor expansion of 1/2 in n
21.629 * [backup-simplify]: Simplify 1/2 into 1/2
21.629 * [taylor]: Taking taylor expansion of k in n
21.629 * [backup-simplify]: Simplify k into k
21.629 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.629 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.629 * [taylor]: Taking taylor expansion of 2 in n
21.629 * [backup-simplify]: Simplify 2 into 2
21.629 * [taylor]: Taking taylor expansion of (* n PI) in n
21.629 * [taylor]: Taking taylor expansion of n in n
21.629 * [backup-simplify]: Simplify 0 into 0
21.629 * [backup-simplify]: Simplify 1 into 1
21.629 * [taylor]: Taking taylor expansion of PI in n
21.629 * [backup-simplify]: Simplify PI into PI
21.630 * [backup-simplify]: Simplify (* 0 PI) into 0
21.630 * [backup-simplify]: Simplify (* 2 0) into 0
21.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.633 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.634 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.634 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.634 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.637 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.638 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.638 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.638 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.638 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.638 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.638 * [taylor]: Taking taylor expansion of 1/2 in n
21.638 * [backup-simplify]: Simplify 1/2 into 1/2
21.638 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.638 * [taylor]: Taking taylor expansion of 1/2 in n
21.638 * [backup-simplify]: Simplify 1/2 into 1/2
21.638 * [taylor]: Taking taylor expansion of k in n
21.638 * [backup-simplify]: Simplify k into k
21.638 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.638 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.638 * [taylor]: Taking taylor expansion of 2 in n
21.638 * [backup-simplify]: Simplify 2 into 2
21.638 * [taylor]: Taking taylor expansion of (* n PI) in n
21.638 * [taylor]: Taking taylor expansion of n in n
21.638 * [backup-simplify]: Simplify 0 into 0
21.638 * [backup-simplify]: Simplify 1 into 1
21.638 * [taylor]: Taking taylor expansion of PI in n
21.638 * [backup-simplify]: Simplify PI into PI
21.639 * [backup-simplify]: Simplify (* 0 PI) into 0
21.639 * [backup-simplify]: Simplify (* 2 0) into 0
21.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.641 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.641 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.642 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.642 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.642 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.643 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.644 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.644 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
21.644 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
21.644 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.644 * [taylor]: Taking taylor expansion of 1/2 in k
21.644 * [backup-simplify]: Simplify 1/2 into 1/2
21.644 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.644 * [taylor]: Taking taylor expansion of 1/2 in k
21.644 * [backup-simplify]: Simplify 1/2 into 1/2
21.644 * [taylor]: Taking taylor expansion of k in k
21.644 * [backup-simplify]: Simplify 0 into 0
21.644 * [backup-simplify]: Simplify 1 into 1
21.644 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
21.644 * [taylor]: Taking taylor expansion of (log n) in k
21.644 * [taylor]: Taking taylor expansion of n in k
21.644 * [backup-simplify]: Simplify n into n
21.644 * [backup-simplify]: Simplify (log n) into (log n)
21.644 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.644 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.644 * [taylor]: Taking taylor expansion of 2 in k
21.644 * [backup-simplify]: Simplify 2 into 2
21.644 * [taylor]: Taking taylor expansion of PI in k
21.644 * [backup-simplify]: Simplify PI into PI
21.645 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.646 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.646 * [backup-simplify]: Simplify (- 0) into 0
21.646 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.647 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.648 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
21.648 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.649 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
21.652 * [backup-simplify]: Simplify (- 0) into 0
21.652 * [backup-simplify]: Simplify (+ 0 0) into 0
21.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.654 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
21.655 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.655 * [taylor]: Taking taylor expansion of 0 in k
21.655 * [backup-simplify]: Simplify 0 into 0
21.655 * [backup-simplify]: Simplify 0 into 0
21.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.656 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.657 * [backup-simplify]: Simplify (+ 0 0) into 0
21.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.658 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.658 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
21.661 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.663 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
21.673 * [backup-simplify]: Simplify (- 0) into 0
21.673 * [backup-simplify]: Simplify (+ 0 0) into 0
21.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.676 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.679 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.679 * [taylor]: Taking taylor expansion of 0 in k
21.679 * [backup-simplify]: Simplify 0 into 0
21.679 * [backup-simplify]: Simplify 0 into 0
21.679 * [backup-simplify]: Simplify 0 into 0
21.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.687 * [backup-simplify]: Simplify (+ 0 0) into 0
21.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
21.688 * [backup-simplify]: Simplify (- 0) into 0
21.689 * [backup-simplify]: Simplify (+ 0 0) into 0
21.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.693 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.696 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.702 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
21.702 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.702 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
21.702 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
21.702 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
21.702 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
21.702 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.702 * [taylor]: Taking taylor expansion of 1/2 in k
21.702 * [backup-simplify]: Simplify 1/2 into 1/2
21.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.702 * [taylor]: Taking taylor expansion of 1/2 in k
21.702 * [backup-simplify]: Simplify 1/2 into 1/2
21.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.702 * [taylor]: Taking taylor expansion of k in k
21.702 * [backup-simplify]: Simplify 0 into 0
21.702 * [backup-simplify]: Simplify 1 into 1
21.703 * [backup-simplify]: Simplify (/ 1 1) into 1
21.703 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
21.703 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
21.703 * [taylor]: Taking taylor expansion of 2 in k
21.703 * [backup-simplify]: Simplify 2 into 2
21.703 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.703 * [taylor]: Taking taylor expansion of PI in k
21.703 * [backup-simplify]: Simplify PI into PI
21.703 * [taylor]: Taking taylor expansion of n in k
21.703 * [backup-simplify]: Simplify n into n
21.703 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.703 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
21.703 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
21.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.703 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.704 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.704 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
21.704 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
21.704 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.704 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.704 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.704 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.704 * [taylor]: Taking taylor expansion of 1/2 in n
21.704 * [backup-simplify]: Simplify 1/2 into 1/2
21.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.704 * [taylor]: Taking taylor expansion of 1/2 in n
21.704 * [backup-simplify]: Simplify 1/2 into 1/2
21.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.704 * [taylor]: Taking taylor expansion of k in n
21.704 * [backup-simplify]: Simplify k into k
21.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.704 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.704 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.704 * [taylor]: Taking taylor expansion of 2 in n
21.704 * [backup-simplify]: Simplify 2 into 2
21.704 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.704 * [taylor]: Taking taylor expansion of PI in n
21.704 * [backup-simplify]: Simplify PI into PI
21.704 * [taylor]: Taking taylor expansion of n in n
21.704 * [backup-simplify]: Simplify 0 into 0
21.704 * [backup-simplify]: Simplify 1 into 1
21.705 * [backup-simplify]: Simplify (/ PI 1) into PI
21.705 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.706 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.706 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.707 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.708 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.708 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
21.708 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
21.708 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
21.708 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
21.708 * [taylor]: Taking taylor expansion of 1/2 in n
21.708 * [backup-simplify]: Simplify 1/2 into 1/2
21.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.708 * [taylor]: Taking taylor expansion of 1/2 in n
21.708 * [backup-simplify]: Simplify 1/2 into 1/2
21.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.708 * [taylor]: Taking taylor expansion of k in n
21.708 * [backup-simplify]: Simplify k into k
21.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.708 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
21.708 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
21.708 * [taylor]: Taking taylor expansion of 2 in n
21.708 * [backup-simplify]: Simplify 2 into 2
21.709 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.709 * [taylor]: Taking taylor expansion of PI in n
21.709 * [backup-simplify]: Simplify PI into PI
21.709 * [taylor]: Taking taylor expansion of n in n
21.709 * [backup-simplify]: Simplify 0 into 0
21.709 * [backup-simplify]: Simplify 1 into 1
21.709 * [backup-simplify]: Simplify (/ PI 1) into PI
21.709 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.710 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.710 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.710 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
21.710 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
21.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.712 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
21.712 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.712 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
21.713 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
21.713 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
21.713 * [taylor]: Taking taylor expansion of 1/2 in k
21.713 * [backup-simplify]: Simplify 1/2 into 1/2
21.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.713 * [taylor]: Taking taylor expansion of 1/2 in k
21.713 * [backup-simplify]: Simplify 1/2 into 1/2
21.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.713 * [taylor]: Taking taylor expansion of k in k
21.713 * [backup-simplify]: Simplify 0 into 0
21.713 * [backup-simplify]: Simplify 1 into 1
21.713 * [backup-simplify]: Simplify (/ 1 1) into 1
21.713 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
21.713 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.713 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.713 * [taylor]: Taking taylor expansion of 2 in k
21.713 * [backup-simplify]: Simplify 2 into 2
21.713 * [taylor]: Taking taylor expansion of PI in k
21.713 * [backup-simplify]: Simplify PI into PI
21.714 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.714 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.714 * [taylor]: Taking taylor expansion of (log n) in k
21.714 * [taylor]: Taking taylor expansion of n in k
21.714 * [backup-simplify]: Simplify n into n
21.714 * [backup-simplify]: Simplify (log n) into (log n)
21.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.715 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.715 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.715 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.716 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
21.716 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
21.717 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.718 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
21.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.721 * [backup-simplify]: Simplify (- 0) into 0
21.721 * [backup-simplify]: Simplify (+ 0 0) into 0
21.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.723 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
21.725 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.725 * [taylor]: Taking taylor expansion of 0 in k
21.725 * [backup-simplify]: Simplify 0 into 0
21.725 * [backup-simplify]: Simplify 0 into 0
21.725 * [backup-simplify]: Simplify 0 into 0
21.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.730 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.731 * [backup-simplify]: Simplify (- 0) into 0
21.731 * [backup-simplify]: Simplify (+ 0 0) into 0
21.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.734 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
21.736 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.736 * [taylor]: Taking taylor expansion of 0 in k
21.736 * [backup-simplify]: Simplify 0 into 0
21.736 * [backup-simplify]: Simplify 0 into 0
21.736 * [backup-simplify]: Simplify 0 into 0
21.736 * [backup-simplify]: Simplify 0 into 0
21.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.744 * [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
21.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.746 * [backup-simplify]: Simplify (- 0) into 0
21.746 * [backup-simplify]: Simplify (+ 0 0) into 0
21.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
21.749 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
21.752 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.752 * [taylor]: Taking taylor expansion of 0 in k
21.752 * [backup-simplify]: Simplify 0 into 0
21.752 * [backup-simplify]: Simplify 0 into 0
21.753 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
21.754 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
21.754 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
21.754 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
21.754 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
21.754 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
21.754 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.754 * [taylor]: Taking taylor expansion of 1/2 in k
21.754 * [backup-simplify]: Simplify 1/2 into 1/2
21.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.754 * [taylor]: Taking taylor expansion of k in k
21.754 * [backup-simplify]: Simplify 0 into 0
21.754 * [backup-simplify]: Simplify 1 into 1
21.754 * [backup-simplify]: Simplify (/ 1 1) into 1
21.754 * [taylor]: Taking taylor expansion of 1/2 in k
21.754 * [backup-simplify]: Simplify 1/2 into 1/2
21.754 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
21.754 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
21.754 * [taylor]: Taking taylor expansion of -2 in k
21.754 * [backup-simplify]: Simplify -2 into -2
21.755 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.755 * [taylor]: Taking taylor expansion of PI in k
21.755 * [backup-simplify]: Simplify PI into PI
21.755 * [taylor]: Taking taylor expansion of n in k
21.755 * [backup-simplify]: Simplify n into n
21.755 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.755 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
21.755 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
21.755 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.756 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.756 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
21.756 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
21.756 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.756 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.756 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.756 * [taylor]: Taking taylor expansion of 1/2 in n
21.756 * [backup-simplify]: Simplify 1/2 into 1/2
21.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.756 * [taylor]: Taking taylor expansion of k in n
21.756 * [backup-simplify]: Simplify k into k
21.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.756 * [taylor]: Taking taylor expansion of 1/2 in n
21.756 * [backup-simplify]: Simplify 1/2 into 1/2
21.756 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.756 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.756 * [taylor]: Taking taylor expansion of -2 in n
21.756 * [backup-simplify]: Simplify -2 into -2
21.756 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.756 * [taylor]: Taking taylor expansion of PI in n
21.756 * [backup-simplify]: Simplify PI into PI
21.756 * [taylor]: Taking taylor expansion of n in n
21.756 * [backup-simplify]: Simplify 0 into 0
21.756 * [backup-simplify]: Simplify 1 into 1
21.757 * [backup-simplify]: Simplify (/ PI 1) into PI
21.757 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.758 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.758 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.758 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.761 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.762 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.762 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.762 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.762 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.762 * [taylor]: Taking taylor expansion of 1/2 in n
21.762 * [backup-simplify]: Simplify 1/2 into 1/2
21.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.762 * [taylor]: Taking taylor expansion of k in n
21.762 * [backup-simplify]: Simplify k into k
21.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.762 * [taylor]: Taking taylor expansion of 1/2 in n
21.762 * [backup-simplify]: Simplify 1/2 into 1/2
21.762 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.762 * [taylor]: Taking taylor expansion of -2 in n
21.762 * [backup-simplify]: Simplify -2 into -2
21.762 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.762 * [taylor]: Taking taylor expansion of PI in n
21.762 * [backup-simplify]: Simplify PI into PI
21.762 * [taylor]: Taking taylor expansion of n in n
21.762 * [backup-simplify]: Simplify 0 into 0
21.762 * [backup-simplify]: Simplify 1 into 1
21.763 * [backup-simplify]: Simplify (/ PI 1) into PI
21.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.764 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.764 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.765 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.767 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
21.768 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.768 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
21.768 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
21.768 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.768 * [taylor]: Taking taylor expansion of 1/2 in k
21.768 * [backup-simplify]: Simplify 1/2 into 1/2
21.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.768 * [taylor]: Taking taylor expansion of k in k
21.768 * [backup-simplify]: Simplify 0 into 0
21.768 * [backup-simplify]: Simplify 1 into 1
21.769 * [backup-simplify]: Simplify (/ 1 1) into 1
21.769 * [taylor]: Taking taylor expansion of 1/2 in k
21.769 * [backup-simplify]: Simplify 1/2 into 1/2
21.769 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
21.769 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
21.769 * [taylor]: Taking taylor expansion of (* -2 PI) in k
21.769 * [taylor]: Taking taylor expansion of -2 in k
21.769 * [backup-simplify]: Simplify -2 into -2
21.769 * [taylor]: Taking taylor expansion of PI in k
21.769 * [backup-simplify]: Simplify PI into PI
21.770 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.770 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.770 * [taylor]: Taking taylor expansion of (log n) in k
21.771 * [taylor]: Taking taylor expansion of n in k
21.771 * [backup-simplify]: Simplify n into n
21.771 * [backup-simplify]: Simplify (log n) into (log n)
21.771 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.771 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.771 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.772 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
21.773 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
21.775 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.776 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
21.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.777 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
21.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
21.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.780 * [backup-simplify]: Simplify (+ 0 0) into 0
21.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.782 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
21.790 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.790 * [taylor]: Taking taylor expansion of 0 in k
21.790 * [backup-simplify]: Simplify 0 into 0
21.791 * [backup-simplify]: Simplify 0 into 0
21.791 * [backup-simplify]: Simplify 0 into 0
21.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.793 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
21.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
21.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.798 * [backup-simplify]: Simplify (+ 0 0) into 0
21.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.800 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
21.802 * [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
21.802 * [taylor]: Taking taylor expansion of 0 in k
21.802 * [backup-simplify]: Simplify 0 into 0
21.803 * [backup-simplify]: Simplify 0 into 0
21.803 * [backup-simplify]: Simplify 0 into 0
21.803 * [backup-simplify]: Simplify 0 into 0
21.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.805 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.810 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
21.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.812 * [backup-simplify]: Simplify (+ 0 0) into 0
21.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.815 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
21.818 * [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
21.818 * [taylor]: Taking taylor expansion of 0 in k
21.818 * [backup-simplify]: Simplify 0 into 0
21.818 * [backup-simplify]: Simplify 0 into 0
21.819 * [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)))))
21.820 * * * * [progress]: [ 3 / 4 ] generating series at (2)
21.821 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
21.821 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
21.821 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
21.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.821 * [taylor]: Taking taylor expansion of k in k
21.821 * [backup-simplify]: Simplify 0 into 0
21.821 * [backup-simplify]: Simplify 1 into 1
21.821 * [backup-simplify]: Simplify (/ 1 1) into 1
21.822 * [backup-simplify]: Simplify (sqrt 0) into 0
21.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.823 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
21.823 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
21.823 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
21.823 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.823 * [taylor]: Taking taylor expansion of 1/2 in k
21.823 * [backup-simplify]: Simplify 1/2 into 1/2
21.823 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.823 * [taylor]: Taking taylor expansion of 1/2 in k
21.823 * [backup-simplify]: Simplify 1/2 into 1/2
21.823 * [taylor]: Taking taylor expansion of k in k
21.823 * [backup-simplify]: Simplify 0 into 0
21.823 * [backup-simplify]: Simplify 1 into 1
21.823 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
21.823 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
21.824 * [taylor]: Taking taylor expansion of 2 in k
21.824 * [backup-simplify]: Simplify 2 into 2
21.824 * [taylor]: Taking taylor expansion of (* n PI) in k
21.824 * [taylor]: Taking taylor expansion of n in k
21.824 * [backup-simplify]: Simplify n into n
21.824 * [taylor]: Taking taylor expansion of PI in k
21.824 * [backup-simplify]: Simplify PI into PI
21.824 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.824 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
21.824 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
21.824 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.825 * [backup-simplify]: Simplify (- 0) into 0
21.825 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.825 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
21.825 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
21.825 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
21.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
21.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.825 * [taylor]: Taking taylor expansion of k in n
21.825 * [backup-simplify]: Simplify k into k
21.825 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.826 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
21.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
21.826 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.826 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.826 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.826 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.826 * [taylor]: Taking taylor expansion of 1/2 in n
21.826 * [backup-simplify]: Simplify 1/2 into 1/2
21.826 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.826 * [taylor]: Taking taylor expansion of 1/2 in n
21.826 * [backup-simplify]: Simplify 1/2 into 1/2
21.826 * [taylor]: Taking taylor expansion of k in n
21.826 * [backup-simplify]: Simplify k into k
21.826 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.826 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.826 * [taylor]: Taking taylor expansion of 2 in n
21.826 * [backup-simplify]: Simplify 2 into 2
21.826 * [taylor]: Taking taylor expansion of (* n PI) in n
21.826 * [taylor]: Taking taylor expansion of n in n
21.826 * [backup-simplify]: Simplify 0 into 0
21.826 * [backup-simplify]: Simplify 1 into 1
21.826 * [taylor]: Taking taylor expansion of PI in n
21.826 * [backup-simplify]: Simplify PI into PI
21.827 * [backup-simplify]: Simplify (* 0 PI) into 0
21.827 * [backup-simplify]: Simplify (* 2 0) into 0
21.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.830 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.831 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.831 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.831 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.831 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.833 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.834 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.835 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.835 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
21.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
21.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.835 * [taylor]: Taking taylor expansion of k in n
21.835 * [backup-simplify]: Simplify k into k
21.835 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.835 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
21.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
21.835 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
21.835 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
21.835 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
21.835 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
21.835 * [taylor]: Taking taylor expansion of 1/2 in n
21.836 * [backup-simplify]: Simplify 1/2 into 1/2
21.836 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
21.836 * [taylor]: Taking taylor expansion of 1/2 in n
21.836 * [backup-simplify]: Simplify 1/2 into 1/2
21.836 * [taylor]: Taking taylor expansion of k in n
21.836 * [backup-simplify]: Simplify k into k
21.836 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
21.836 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
21.836 * [taylor]: Taking taylor expansion of 2 in n
21.836 * [backup-simplify]: Simplify 2 into 2
21.836 * [taylor]: Taking taylor expansion of (* n PI) in n
21.836 * [taylor]: Taking taylor expansion of n in n
21.836 * [backup-simplify]: Simplify 0 into 0
21.836 * [backup-simplify]: Simplify 1 into 1
21.836 * [taylor]: Taking taylor expansion of PI in n
21.836 * [backup-simplify]: Simplify PI into PI
21.836 * [backup-simplify]: Simplify (* 0 PI) into 0
21.837 * [backup-simplify]: Simplify (* 2 0) into 0
21.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.839 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
21.840 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.840 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
21.840 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
21.840 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
21.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.842 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
21.842 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
21.843 * [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)))
21.843 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
21.843 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
21.843 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
21.843 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
21.843 * [taylor]: Taking taylor expansion of 1/2 in k
21.843 * [backup-simplify]: Simplify 1/2 into 1/2
21.843 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
21.843 * [taylor]: Taking taylor expansion of 1/2 in k
21.843 * [backup-simplify]: Simplify 1/2 into 1/2
21.843 * [taylor]: Taking taylor expansion of k in k
21.843 * [backup-simplify]: Simplify 0 into 0
21.843 * [backup-simplify]: Simplify 1 into 1
21.843 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
21.843 * [taylor]: Taking taylor expansion of (log n) in k
21.843 * [taylor]: Taking taylor expansion of n in k
21.844 * [backup-simplify]: Simplify n into n
21.844 * [backup-simplify]: Simplify (log n) into (log n)
21.844 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
21.844 * [taylor]: Taking taylor expansion of (* 2 PI) in k
21.844 * [taylor]: Taking taylor expansion of 2 in k
21.844 * [backup-simplify]: Simplify 2 into 2
21.844 * [taylor]: Taking taylor expansion of PI in k
21.844 * [backup-simplify]: Simplify PI into PI
21.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
21.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
21.845 * [backup-simplify]: Simplify (* 1/2 0) into 0
21.845 * [backup-simplify]: Simplify (- 0) into 0
21.845 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.846 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.847 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
21.847 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
21.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.848 * [taylor]: Taking taylor expansion of k in k
21.848 * [backup-simplify]: Simplify 0 into 0
21.848 * [backup-simplify]: Simplify 1 into 1
21.848 * [backup-simplify]: Simplify (/ 1 1) into 1
21.848 * [backup-simplify]: Simplify (sqrt 0) into 0
21.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.850 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
21.850 * [backup-simplify]: Simplify 0 into 0
21.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
21.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
21.853 * [backup-simplify]: Simplify (- 0) into 0
21.853 * [backup-simplify]: Simplify (+ 0 0) into 0
21.854 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.855 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
21.856 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.857 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
21.857 * [taylor]: Taking taylor expansion of 0 in k
21.857 * [backup-simplify]: Simplify 0 into 0
21.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.858 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
21.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
21.859 * [backup-simplify]: Simplify (+ 0 0) into 0
21.860 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
21.860 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.860 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
21.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.866 * [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)))))))
21.867 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
21.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
21.874 * [backup-simplify]: Simplify (- 0) into 0
21.875 * [backup-simplify]: Simplify (+ 0 0) into 0
21.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.878 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.880 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
21.883 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
21.883 * [taylor]: Taking taylor expansion of 0 in k
21.883 * [backup-simplify]: Simplify 0 into 0
21.883 * [backup-simplify]: Simplify 0 into 0
21.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.886 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
21.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
21.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
21.893 * [backup-simplify]: Simplify (+ 0 0) into 0
21.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
21.895 * [backup-simplify]: Simplify (- 0) into 0
21.895 * [backup-simplify]: Simplify (+ 0 0) into 0
21.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
21.901 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
21.911 * [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))))))))
21.924 * [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))))))))
21.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
21.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
21.933 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
21.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
21.934 * [backup-simplify]: Simplify (- 0) into 0
21.935 * [backup-simplify]: Simplify (+ 0 0) into 0
21.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
21.938 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
21.942 * [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
21.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
21.945 * [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
21.945 * [taylor]: Taking taylor expansion of 0 in k
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify 0 into 0
21.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
21.950 * [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
21.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.954 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
21.955 * [backup-simplify]: Simplify (+ 0 0) into 0
21.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
21.956 * [backup-simplify]: Simplify (- 0) into 0
21.956 * [backup-simplify]: Simplify (+ 0 0) into 0
21.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
21.962 * [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)))))))
21.972 * [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))))))))))))))
21.983 * [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))))))))))))))
21.998 * [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))))))))))))))))))))))
21.999 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
21.999 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
21.999 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
21.999 * [taylor]: Taking taylor expansion of (sqrt k) in k
21.999 * [taylor]: Taking taylor expansion of k in k
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [backup-simplify]: Simplify 1 into 1
21.999 * [backup-simplify]: Simplify (sqrt 0) into 0
22.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.000 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
22.000 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
22.000 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
22.000 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.000 * [taylor]: Taking taylor expansion of 1/2 in k
22.000 * [backup-simplify]: Simplify 1/2 into 1/2
22.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.000 * [taylor]: Taking taylor expansion of 1/2 in k
22.000 * [backup-simplify]: Simplify 1/2 into 1/2
22.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.000 * [taylor]: Taking taylor expansion of k in k
22.000 * [backup-simplify]: Simplify 0 into 0
22.000 * [backup-simplify]: Simplify 1 into 1
22.001 * [backup-simplify]: Simplify (/ 1 1) into 1
22.001 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
22.001 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
22.001 * [taylor]: Taking taylor expansion of 2 in k
22.001 * [backup-simplify]: Simplify 2 into 2
22.001 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.001 * [taylor]: Taking taylor expansion of PI in k
22.001 * [backup-simplify]: Simplify PI into PI
22.001 * [taylor]: Taking taylor expansion of n in k
22.001 * [backup-simplify]: Simplify n into n
22.001 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.001 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
22.001 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
22.001 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.002 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.002 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.002 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
22.002 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
22.002 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
22.002 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.002 * [taylor]: Taking taylor expansion of k in n
22.002 * [backup-simplify]: Simplify k into k
22.002 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.002 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.002 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.003 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.003 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.003 * [taylor]: Taking taylor expansion of 1/2 in n
22.003 * [backup-simplify]: Simplify 1/2 into 1/2
22.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.003 * [taylor]: Taking taylor expansion of 1/2 in n
22.003 * [backup-simplify]: Simplify 1/2 into 1/2
22.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.003 * [taylor]: Taking taylor expansion of k in n
22.003 * [backup-simplify]: Simplify k into k
22.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.003 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.003 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.003 * [taylor]: Taking taylor expansion of 2 in n
22.003 * [backup-simplify]: Simplify 2 into 2
22.003 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.003 * [taylor]: Taking taylor expansion of PI in n
22.003 * [backup-simplify]: Simplify PI into PI
22.003 * [taylor]: Taking taylor expansion of n in n
22.003 * [backup-simplify]: Simplify 0 into 0
22.003 * [backup-simplify]: Simplify 1 into 1
22.003 * [backup-simplify]: Simplify (/ PI 1) into PI
22.003 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.004 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.004 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.004 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.006 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.007 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.007 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
22.007 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.007 * [taylor]: Taking taylor expansion of k in n
22.007 * [backup-simplify]: Simplify k into k
22.007 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.007 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
22.007 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
22.007 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
22.007 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
22.007 * [taylor]: Taking taylor expansion of 1/2 in n
22.007 * [backup-simplify]: Simplify 1/2 into 1/2
22.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.007 * [taylor]: Taking taylor expansion of 1/2 in n
22.007 * [backup-simplify]: Simplify 1/2 into 1/2
22.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.007 * [taylor]: Taking taylor expansion of k in n
22.007 * [backup-simplify]: Simplify k into k
22.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.007 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
22.007 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.007 * [taylor]: Taking taylor expansion of 2 in n
22.007 * [backup-simplify]: Simplify 2 into 2
22.007 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.007 * [taylor]: Taking taylor expansion of PI in n
22.007 * [backup-simplify]: Simplify PI into PI
22.007 * [taylor]: Taking taylor expansion of n in n
22.007 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify 1 into 1
22.008 * [backup-simplify]: Simplify (/ PI 1) into PI
22.008 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.009 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.009 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.009 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
22.009 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
22.010 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.011 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
22.011 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.012 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
22.012 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
22.012 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
22.012 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
22.012 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
22.012 * [taylor]: Taking taylor expansion of 1/2 in k
22.012 * [backup-simplify]: Simplify 1/2 into 1/2
22.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.012 * [taylor]: Taking taylor expansion of 1/2 in k
22.012 * [backup-simplify]: Simplify 1/2 into 1/2
22.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.012 * [taylor]: Taking taylor expansion of k in k
22.012 * [backup-simplify]: Simplify 0 into 0
22.012 * [backup-simplify]: Simplify 1 into 1
22.013 * [backup-simplify]: Simplify (/ 1 1) into 1
22.013 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
22.013 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
22.013 * [taylor]: Taking taylor expansion of (* 2 PI) in k
22.013 * [taylor]: Taking taylor expansion of 2 in k
22.013 * [backup-simplify]: Simplify 2 into 2
22.013 * [taylor]: Taking taylor expansion of PI in k
22.013 * [backup-simplify]: Simplify PI into PI
22.013 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.014 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
22.014 * [taylor]: Taking taylor expansion of (log n) in k
22.014 * [taylor]: Taking taylor expansion of n in k
22.014 * [backup-simplify]: Simplify n into n
22.014 * [backup-simplify]: Simplify (log n) into (log n)
22.014 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.015 * [backup-simplify]: Simplify (- 1/2) into -1/2
22.015 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
22.015 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.017 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
22.018 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
22.019 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
22.019 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.019 * [taylor]: Taking taylor expansion of k in k
22.019 * [backup-simplify]: Simplify 0 into 0
22.019 * [backup-simplify]: Simplify 1 into 1
22.020 * [backup-simplify]: Simplify (sqrt 0) into 0
22.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.023 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
22.023 * [backup-simplify]: Simplify 0 into 0
22.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
22.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.037 * [backup-simplify]: Simplify (- 0) into 0
22.037 * [backup-simplify]: Simplify (+ 0 0) into 0
22.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.040 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
22.042 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.043 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
22.043 * [taylor]: Taking taylor expansion of 0 in k
22.043 * [backup-simplify]: Simplify 0 into 0
22.043 * [backup-simplify]: Simplify 0 into 0
22.044 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.045 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
22.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.049 * [backup-simplify]: Simplify (- 0) into 0
22.049 * [backup-simplify]: Simplify (+ 0 0) into 0
22.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.051 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
22.052 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
22.054 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
22.054 * [taylor]: Taking taylor expansion of 0 in k
22.054 * [backup-simplify]: Simplify 0 into 0
22.054 * [backup-simplify]: Simplify 0 into 0
22.054 * [backup-simplify]: Simplify 0 into 0
22.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.057 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.058 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.062 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
22.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
22.064 * [backup-simplify]: Simplify (- 0) into 0
22.064 * [backup-simplify]: Simplify (+ 0 0) into 0
22.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
22.066 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
22.068 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
22.069 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
22.069 * [taylor]: Taking taylor expansion of 0 in k
22.069 * [backup-simplify]: Simplify 0 into 0
22.069 * [backup-simplify]: Simplify 0 into 0
22.070 * [backup-simplify]: Simplify 0 into 0
22.070 * [backup-simplify]: Simplify 0 into 0
22.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.073 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.074 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
22.076 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
22.077 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
22.077 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
22.077 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
22.077 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
22.077 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
22.078 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
22.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.078 * [taylor]: Taking taylor expansion of 1/2 in k
22.078 * [backup-simplify]: Simplify 1/2 into 1/2
22.078 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.078 * [taylor]: Taking taylor expansion of k in k
22.078 * [backup-simplify]: Simplify 0 into 0
22.078 * [backup-simplify]: Simplify 1 into 1
22.078 * [backup-simplify]: Simplify (/ 1 1) into 1
22.078 * [taylor]: Taking taylor expansion of 1/2 in k
22.078 * [backup-simplify]: Simplify 1/2 into 1/2
22.078 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
22.078 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
22.078 * [taylor]: Taking taylor expansion of -2 in k
22.078 * [backup-simplify]: Simplify -2 into -2
22.078 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.078 * [taylor]: Taking taylor expansion of PI in k
22.078 * [backup-simplify]: Simplify PI into PI
22.078 * [taylor]: Taking taylor expansion of n in k
22.078 * [backup-simplify]: Simplify n into n
22.078 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.078 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
22.078 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
22.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.079 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.079 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
22.079 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
22.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.079 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.079 * [taylor]: Taking taylor expansion of -1 in k
22.079 * [backup-simplify]: Simplify -1 into -1
22.079 * [taylor]: Taking taylor expansion of k in k
22.079 * [backup-simplify]: Simplify 0 into 0
22.079 * [backup-simplify]: Simplify 1 into 1
22.079 * [backup-simplify]: Simplify (/ -1 1) into -1
22.080 * [backup-simplify]: Simplify (sqrt 0) into 0
22.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.081 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
22.081 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
22.081 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.081 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.081 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.081 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.081 * [taylor]: Taking taylor expansion of 1/2 in n
22.081 * [backup-simplify]: Simplify 1/2 into 1/2
22.081 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.081 * [taylor]: Taking taylor expansion of k in n
22.081 * [backup-simplify]: Simplify k into k
22.081 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.081 * [taylor]: Taking taylor expansion of 1/2 in n
22.081 * [backup-simplify]: Simplify 1/2 into 1/2
22.081 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.081 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.081 * [taylor]: Taking taylor expansion of -2 in n
22.081 * [backup-simplify]: Simplify -2 into -2
22.081 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.081 * [taylor]: Taking taylor expansion of PI in n
22.081 * [backup-simplify]: Simplify PI into PI
22.081 * [taylor]: Taking taylor expansion of n in n
22.081 * [backup-simplify]: Simplify 0 into 0
22.081 * [backup-simplify]: Simplify 1 into 1
22.081 * [backup-simplify]: Simplify (/ PI 1) into PI
22.082 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.082 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.082 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.082 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.084 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.085 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.085 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.085 * [taylor]: Taking taylor expansion of -1 in n
22.085 * [backup-simplify]: Simplify -1 into -1
22.085 * [taylor]: Taking taylor expansion of k in n
22.085 * [backup-simplify]: Simplify k into k
22.085 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.085 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.085 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.086 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
22.086 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
22.086 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
22.086 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
22.086 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
22.086 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
22.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
22.086 * [taylor]: Taking taylor expansion of 1/2 in n
22.086 * [backup-simplify]: Simplify 1/2 into 1/2
22.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.086 * [taylor]: Taking taylor expansion of k in n
22.086 * [backup-simplify]: Simplify k into k
22.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.086 * [taylor]: Taking taylor expansion of 1/2 in n
22.086 * [backup-simplify]: Simplify 1/2 into 1/2
22.086 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
22.086 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.086 * [taylor]: Taking taylor expansion of -2 in n
22.086 * [backup-simplify]: Simplify -2 into -2
22.086 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.086 * [taylor]: Taking taylor expansion of PI in n
22.086 * [backup-simplify]: Simplify PI into PI
22.086 * [taylor]: Taking taylor expansion of n in n
22.086 * [backup-simplify]: Simplify 0 into 0
22.086 * [backup-simplify]: Simplify 1 into 1
22.087 * [backup-simplify]: Simplify (/ PI 1) into PI
22.087 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.087 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.088 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
22.088 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
22.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.089 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
22.090 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.090 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.090 * [taylor]: Taking taylor expansion of -1 in n
22.090 * [backup-simplify]: Simplify -1 into -1
22.090 * [taylor]: Taking taylor expansion of k in n
22.090 * [backup-simplify]: Simplify k into k
22.090 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.090 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.090 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.092 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
22.092 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
22.092 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
22.092 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
22.092 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
22.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
22.092 * [taylor]: Taking taylor expansion of 1/2 in k
22.092 * [backup-simplify]: Simplify 1/2 into 1/2
22.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.092 * [taylor]: Taking taylor expansion of k in k
22.092 * [backup-simplify]: Simplify 0 into 0
22.092 * [backup-simplify]: Simplify 1 into 1
22.093 * [backup-simplify]: Simplify (/ 1 1) into 1
22.093 * [taylor]: Taking taylor expansion of 1/2 in k
22.093 * [backup-simplify]: Simplify 1/2 into 1/2
22.093 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
22.093 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
22.093 * [taylor]: Taking taylor expansion of (* -2 PI) in k
22.093 * [taylor]: Taking taylor expansion of -2 in k
22.093 * [backup-simplify]: Simplify -2 into -2
22.093 * [taylor]: Taking taylor expansion of PI in k
22.093 * [backup-simplify]: Simplify PI into PI
22.093 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.094 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
22.095 * [taylor]: Taking taylor expansion of (log n) in k
22.095 * [taylor]: Taking taylor expansion of n in k
22.095 * [backup-simplify]: Simplify n into n
22.095 * [backup-simplify]: Simplify (log n) into (log n)
22.095 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
22.096 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
22.096 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
22.097 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
22.098 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
22.099 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
22.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.099 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.099 * [taylor]: Taking taylor expansion of -1 in k
22.099 * [backup-simplify]: Simplify -1 into -1
22.099 * [taylor]: Taking taylor expansion of k in k
22.099 * [backup-simplify]: Simplify 0 into 0
22.099 * [backup-simplify]: Simplify 1 into 1
22.100 * [backup-simplify]: Simplify (/ -1 1) into -1
22.100 * [backup-simplify]: Simplify (sqrt 0) into 0
22.102 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.103 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
22.105 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
22.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.106 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
22.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
22.109 * [backup-simplify]: Simplify (+ 0 0) into 0
22.111 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.112 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
22.114 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
22.115 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
22.115 * [taylor]: Taking taylor expansion of 0 in k
22.115 * [backup-simplify]: Simplify 0 into 0
22.115 * [backup-simplify]: Simplify 0 into 0
22.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
22.119 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.121 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.123 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.125 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
22.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
22.130 * [backup-simplify]: Simplify (+ 0 0) into 0
22.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
22.133 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
22.136 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.136 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
22.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
22.138 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
22.138 * [taylor]: Taking taylor expansion of 0 in k
22.138 * [backup-simplify]: Simplify 0 into 0
22.138 * [backup-simplify]: Simplify 0 into 0
22.138 * [backup-simplify]: Simplify 0 into 0
22.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.156 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.157 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
22.161 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
22.162 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
22.162 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
22.162 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
22.162 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.162 * [taylor]: Taking taylor expansion of 2 in n
22.162 * [backup-simplify]: Simplify 2 into 2
22.162 * [taylor]: Taking taylor expansion of (* n PI) in n
22.162 * [taylor]: Taking taylor expansion of n in n
22.162 * [backup-simplify]: Simplify 0 into 0
22.162 * [backup-simplify]: Simplify 1 into 1
22.162 * [taylor]: Taking taylor expansion of PI in n
22.163 * [backup-simplify]: Simplify PI into PI
22.163 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
22.163 * [taylor]: Taking taylor expansion of 2 in n
22.163 * [backup-simplify]: Simplify 2 into 2
22.163 * [taylor]: Taking taylor expansion of (* n PI) in n
22.163 * [taylor]: Taking taylor expansion of n in n
22.163 * [backup-simplify]: Simplify 0 into 0
22.163 * [backup-simplify]: Simplify 1 into 1
22.163 * [taylor]: Taking taylor expansion of PI in n
22.163 * [backup-simplify]: Simplify PI into PI
22.163 * [backup-simplify]: Simplify (* 0 PI) into 0
22.164 * [backup-simplify]: Simplify (* 2 0) into 0
22.164 * [backup-simplify]: Simplify 0 into 0
22.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.167 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
22.167 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
22.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
22.170 * [backup-simplify]: Simplify 0 into 0
22.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
22.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
22.172 * [backup-simplify]: Simplify 0 into 0
22.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.175 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
22.175 * [backup-simplify]: Simplify 0 into 0
22.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
22.178 * [backup-simplify]: Simplify 0 into 0
22.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.182 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
22.182 * [backup-simplify]: Simplify 0 into 0
22.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
22.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
22.184 * [backup-simplify]: Simplify 0 into 0
22.185 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
22.185 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
22.185 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
22.185 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.185 * [taylor]: Taking taylor expansion of 2 in n
22.185 * [backup-simplify]: Simplify 2 into 2
22.185 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.185 * [taylor]: Taking taylor expansion of PI in n
22.185 * [backup-simplify]: Simplify PI into PI
22.185 * [taylor]: Taking taylor expansion of n in n
22.185 * [backup-simplify]: Simplify 0 into 0
22.185 * [backup-simplify]: Simplify 1 into 1
22.186 * [backup-simplify]: Simplify (/ PI 1) into PI
22.186 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
22.186 * [taylor]: Taking taylor expansion of 2 in n
22.186 * [backup-simplify]: Simplify 2 into 2
22.186 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.186 * [taylor]: Taking taylor expansion of PI in n
22.186 * [backup-simplify]: Simplify PI into PI
22.186 * [taylor]: Taking taylor expansion of n in n
22.186 * [backup-simplify]: Simplify 0 into 0
22.186 * [backup-simplify]: Simplify 1 into 1
22.186 * [backup-simplify]: Simplify (/ PI 1) into PI
22.186 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.187 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
22.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.188 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
22.188 * [backup-simplify]: Simplify 0 into 0
22.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
22.189 * [backup-simplify]: Simplify 0 into 0
22.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.190 * [backup-simplify]: Simplify 0 into 0
22.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.192 * [backup-simplify]: Simplify 0 into 0
22.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.193 * [backup-simplify]: Simplify 0 into 0
22.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.195 * [backup-simplify]: Simplify 0 into 0
22.196 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
22.196 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
22.196 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
22.196 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.196 * [taylor]: Taking taylor expansion of -2 in n
22.196 * [backup-simplify]: Simplify -2 into -2
22.196 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.196 * [taylor]: Taking taylor expansion of PI in n
22.196 * [backup-simplify]: Simplify PI into PI
22.196 * [taylor]: Taking taylor expansion of n in n
22.196 * [backup-simplify]: Simplify 0 into 0
22.196 * [backup-simplify]: Simplify 1 into 1
22.196 * [backup-simplify]: Simplify (/ PI 1) into PI
22.196 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
22.196 * [taylor]: Taking taylor expansion of -2 in n
22.196 * [backup-simplify]: Simplify -2 into -2
22.196 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.196 * [taylor]: Taking taylor expansion of PI in n
22.196 * [backup-simplify]: Simplify PI into PI
22.197 * [taylor]: Taking taylor expansion of n in n
22.197 * [backup-simplify]: Simplify 0 into 0
22.197 * [backup-simplify]: Simplify 1 into 1
22.197 * [backup-simplify]: Simplify (/ PI 1) into PI
22.197 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.197 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
22.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.199 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
22.199 * [backup-simplify]: Simplify 0 into 0
22.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.200 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
22.200 * [backup-simplify]: Simplify 0 into 0
22.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.201 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
22.201 * [backup-simplify]: Simplify 0 into 0
22.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.203 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
22.203 * [backup-simplify]: Simplify 0 into 0
22.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.204 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
22.204 * [backup-simplify]: Simplify 0 into 0
22.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.206 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
22.206 * [backup-simplify]: Simplify 0 into 0
22.206 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
22.206 * * * [progress]: simplifying candidates
22.206 * * * * [progress]: [ 1 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.206 * * * * [progress]: [ 2 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.206 * * * * [progress]: [ 3 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 4 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 5 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 6 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 7 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 8 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 9 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 10 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))))>
22.207 * * * * [progress]: [ 11 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 12 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 13 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.207 * * * * [progress]: [ 14 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 15 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))))>
22.207 * * * * [progress]: [ 16 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.207 * * * * [progress]: [ 17 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.207 * * * * [progress]: [ 18 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.207 * * * * [progress]: [ 19 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.207 * * * * [progress]: [ 20 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.207 * * * * [progress]: [ 21 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.207 * * * * [progress]: [ 22 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 23 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 24 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 25 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 26 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 27 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 28 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 29 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 30 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 31 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 32 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 33 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 34 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 35 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 36 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 37 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 38 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 39 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.208 * * * * [progress]: [ 40 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 41 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 42 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 43 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 44 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 45 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 46 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 47 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 48 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 49 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 50 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 51 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 52 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 53 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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)))))>
22.209 * * * * [progress]: [ 54 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k)))))>
22.209 * * * * [progress]: [ 55 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k)))))>
22.209 * * * * [progress]: [ 56 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
22.209 * * * * [progress]: [ 57 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
22.209 * * * * [progress]: [ 58 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.209 * * * * [progress]: [ 59 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))))>
22.209 * * * * [progress]: [ 60 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 61 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 62 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 63 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 64 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 65 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.210 * * * * [progress]: [ 66 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 67 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
22.210 * * * * [progress]: [ 68 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (log1p (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 69 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (expm1 (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 70 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 71 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 72 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 73 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 74 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.210 * * * * [progress]: [ 75 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 76 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 77 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 78 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 79 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 80 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 81 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 82 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 83 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 84 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 85 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 86 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 87 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.211 * * * * [progress]: [ 88 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 89 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 90 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 91 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 92 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 93 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 94 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 95 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 96 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 97 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 98 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 99 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.212 * * * * [progress]: [ 100 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 101 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 102 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 103 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 104 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 105 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 106 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 107 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.213 * * * * [progress]: [ 108 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 109 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 110 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 111 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 112 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 113 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 114 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 115 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 116 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 117 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.214 * * * * [progress]: [ 118 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 119 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 120 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 121 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 122 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 123 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 124 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 125 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 126 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 127 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.215 * * * * [progress]: [ 128 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 129 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 130 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 131 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 132 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 133 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 134 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.216 * * * * [progress]: [ 135 / 1193 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.216 * * * * [progress]: [ 136 / 1193 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.216 * * * * [progress]: [ 137 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 1/2)))>
22.216 * * * * [progress]: [ 138 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 (/ 1 2))))>
22.216 * * * * [progress]: [ 139 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
22.216 * * * * [progress]: [ 140 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) 1/2)))>
22.216 * * * * [progress]: [ 141 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) (/ 1 2))))>
22.217 * * * * [progress]: [ 142 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1/2))>
22.217 * * * * [progress]: [ 143 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
22.217 * * * * [progress]: [ 144 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 2)))>
22.217 * * * * [progress]: [ 145 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 2))>
22.217 * * * * [progress]: [ 146 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
22.217 * * * * [progress]: [ 147 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
22.217 * * * * [progress]: [ 148 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 149 / 1193 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 150 / 1193 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 151 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 152 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 153 / 1193 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.217 * * * * [progress]: [ 154 / 1193 ] simplifiying candidate #<alt (λ (k n) (sqrt (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.218 * * * * [progress]: [ 155 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.218 * * * * [progress]: [ 156 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
22.218 * * * * [progress]: [ 157 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))>
22.218 * * * * [progress]: [ 158 / 1193 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.218 * * * * [progress]: [ 159 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.218 * * * * [progress]: [ 160 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.218 * * * * [progress]: [ 161 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.218 * * * * [progress]: [ 162 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.218 * * * * [progress]: [ 163 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.218 * * * * [progress]: [ 164 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.219 * * * * [progress]: [ 165 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.219 * * * * [progress]: [ 166 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.219 * * * * [progress]: [ 167 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))) (sqrt (/ (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)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.219 * * * * [progress]: [ 168 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.219 * * * * [progress]: [ 169 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.219 * * * * [progress]: [ 170 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.219 * * * * [progress]: [ 171 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))))>
22.219 * * * * [progress]: [ 172 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))))>
22.220 * * * * [progress]: [ 173 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.220 * * * * [progress]: [ 174 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.220 * * * * [progress]: [ 175 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.220 * * * * [progress]: [ 176 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.220 * * * * [progress]: [ 177 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.220 * * * * [progress]: [ 178 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.220 * * * * [progress]: [ 179 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.220 * * * * [progress]: [ 180 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.220 * * * * [progress]: [ 181 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.221 * * * * [progress]: [ 182 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.221 * * * * [progress]: [ 183 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))) (sqrt (/ (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)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.221 * * * * [progress]: [ 184 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.221 * * * * [progress]: [ 185 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.221 * * * * [progress]: [ 186 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)) (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.221 * * * * [progress]: [ 187 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.221 * * * * [progress]: [ 188 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.222 * * * * [progress]: [ 189 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.222 * * * * [progress]: [ 190 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.222 * * * * [progress]: [ 191 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))) (sqrt (/ (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)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.222 * * * * [progress]: [ 192 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.222 * * * * [progress]: [ 193 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.222 * * * * [progress]: [ 194 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)) (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.222 * * * * [progress]: [ 195 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))))>
22.222 * * * * [progress]: [ 196 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))))>
22.223 * * * * [progress]: [ 197 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.223 * * * * [progress]: [ 198 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.223 * * * * [progress]: [ 199 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.223 * * * * [progress]: [ 200 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.223 * * * * [progress]: [ 201 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.223 * * * * [progress]: [ 202 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.223 * * * * [progress]: [ 203 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 204 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 205 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 206 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 207 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))) (sqrt (/ (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)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.224 * * * * [progress]: [ 208 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 209 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.224 * * * * [progress]: [ 210 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)) (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.224 * * * * [progress]: [ 211 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))))>
22.225 * * * * [progress]: [ 212 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))))>
22.225 * * * * [progress]: [ 213 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.225 * * * * [progress]: [ 214 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.225 * * * * [progress]: [ 215 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.225 * * * * [progress]: [ 216 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.225 * * * * [progress]: [ 217 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.225 * * * * [progress]: [ 218 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.225 * * * * [progress]: [ 219 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 220 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))))>
22.226 * * * * [progress]: [ 221 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 222 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 223 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.226 * * * * [progress]: [ 224 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 225 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 226 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.226 * * * * [progress]: [ 227 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 228 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))))>
22.226 * * * * [progress]: [ 229 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 230 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.226 * * * * [progress]: [ 231 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.227 * * * * [progress]: [ 232 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 233 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 234 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.227 * * * * [progress]: [ 235 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 236 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))))>
22.227 * * * * [progress]: [ 237 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 238 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 239 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.227 * * * * [progress]: [ 240 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.227 * * * * [progress]: [ 241 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 242 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.228 * * * * [progress]: [ 243 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 244 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))))>
22.228 * * * * [progress]: [ 245 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 246 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 247 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.228 * * * * [progress]: [ 248 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 249 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 250 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.228 * * * * [progress]: [ 251 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 252 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))))>
22.228 * * * * [progress]: [ 253 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 254 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.228 * * * * [progress]: [ 255 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.229 * * * * [progress]: [ 256 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 257 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 258 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.229 * * * * [progress]: [ 259 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 260 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))))>
22.229 * * * * [progress]: [ 261 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 262 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 263 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.229 * * * * [progress]: [ 264 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 265 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.229 * * * * [progress]: [ 266 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.229 * * * * [progress]: [ 267 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.229 * * * * [progress]: [ 268 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.229 * * * * [progress]: [ 269 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.229 * * * * [progress]: [ 270 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.230 * * * * [progress]: [ 271 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.230 * * * * [progress]: [ 272 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.230 * * * * [progress]: [ 273 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.230 * * * * [progress]: [ 274 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.230 * * * * [progress]: [ 275 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))))>
22.230 * * * * [progress]: [ 276 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))))>
22.230 * * * * [progress]: [ 277 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.230 * * * * [progress]: [ 278 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.230 * * * * [progress]: [ 279 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.230 * * * * [progress]: [ 280 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.230 * * * * [progress]: [ 281 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.230 * * * * [progress]: [ 282 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.230 * * * * [progress]: [ 283 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.230 * * * * [progress]: [ 284 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 285 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 286 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 287 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))) (sqrt (/ (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)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.231 * * * * [progress]: [ 288 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 289 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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)))) (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 290 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.231 * * * * [progress]: [ 291 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 292 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 293 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 294 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 295 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.231 * * * * [progress]: [ 296 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 297 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.231 * * * * [progress]: [ 298 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.232 * * * * [progress]: [ 299 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))))>
22.232 * * * * [progress]: [ 300 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))))>
22.232 * * * * [progress]: [ 301 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.232 * * * * [progress]: [ 302 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.232 * * * * [progress]: [ 303 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.232 * * * * [progress]: [ 304 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.232 * * * * [progress]: [ 305 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.232 * * * * [progress]: [ 306 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.232 * * * * [progress]: [ 307 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.232 * * * * [progress]: [ 308 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.232 * * * * [progress]: [ 309 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.232 * * * * [progress]: [ 310 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.232 * * * * [progress]: [ 311 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.232 * * * * [progress]: [ 312 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.233 * * * * [progress]: [ 313 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.233 * * * * [progress]: [ 314 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.233 * * * * [progress]: [ 315 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))))>
22.233 * * * * [progress]: [ 316 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))))>
22.233 * * * * [progress]: [ 317 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.233 * * * * [progress]: [ 318 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.233 * * * * [progress]: [ 319 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.233 * * * * [progress]: [ 320 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.233 * * * * [progress]: [ 321 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.233 * * * * [progress]: [ 322 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.234 * * * * [progress]: [ 323 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 324 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))))>
22.234 * * * * [progress]: [ 325 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 326 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 327 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.234 * * * * [progress]: [ 328 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 329 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 330 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.234 * * * * [progress]: [ 331 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 332 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))))>
22.234 * * * * [progress]: [ 333 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 334 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 335 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.234 * * * * [progress]: [ 336 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.234 * * * * [progress]: [ 337 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 338 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.235 * * * * [progress]: [ 339 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 340 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))))>
22.235 * * * * [progress]: [ 341 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 342 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 343 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.235 * * * * [progress]: [ 344 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 345 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 346 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.235 * * * * [progress]: [ 347 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))))>
22.235 * * * * [progress]: [ 348 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))))>
22.236 * * * * [progress]: [ 349 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 350 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 351 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.236 * * * * [progress]: [ 352 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 353 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 354 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.236 * * * * [progress]: [ 355 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 356 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))))>
22.236 * * * * [progress]: [ 357 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 358 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 359 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.236 * * * * [progress]: [ 360 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 361 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 362 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.236 * * * * [progress]: [ 363 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))))>
22.236 * * * * [progress]: [ 364 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))))>
22.237 * * * * [progress]: [ 365 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.237 * * * * [progress]: [ 366 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.237 * * * * [progress]: [ 367 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.237 * * * * [progress]: [ 368 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.237 * * * * [progress]: [ 369 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.237 * * * * [progress]: [ 370 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.237 * * * * [progress]: [ 371 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 372 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 373 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 374 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 375 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.237 * * * * [progress]: [ 376 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 377 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.237 * * * * [progress]: [ 378 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.237 * * * * [progress]: [ 379 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))))))>
22.237 * * * * [progress]: [ 380 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))))))>
22.238 * * * * [progress]: [ 381 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.238 * * * * [progress]: [ 382 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.238 * * * * [progress]: [ 383 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.238 * * * * [progress]: [ 384 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.238 * * * * [progress]: [ 385 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))))>
22.238 * * * * [progress]: [ 386 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))))>
22.238 * * * * [progress]: [ 387 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 388 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (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))))) (sqrt (/ (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)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 389 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 390 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 391 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.238 * * * * [progress]: [ 392 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 393 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.238 * * * * [progress]: [ 394 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.238 * * * * [progress]: [ 395 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 396 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 397 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 398 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 399 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.239 * * * * [progress]: [ 400 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 401 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.239 * * * * [progress]: [ 402 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.239 * * * * [progress]: [ 403 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))))>
22.239 * * * * [progress]: [ 404 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))))>
22.239 * * * * [progress]: [ 405 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.239 * * * * [progress]: [ 406 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.239 * * * * [progress]: [ 407 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.239 * * * * [progress]: [ 408 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.240 * * * * [progress]: [ 409 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))))>
22.240 * * * * [progress]: [ 410 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))))))>
22.240 * * * * [progress]: [ 411 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 412 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 413 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 414 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 415 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.240 * * * * [progress]: [ 416 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 417 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (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)))))))>
22.240 * * * * [progress]: [ 418 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (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))) (sqrt (/ (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))))))>
22.240 * * * * [progress]: [ 419 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))))))>
22.240 * * * * [progress]: [ 420 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))))))>
22.240 * * * * [progress]: [ 421 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.240 * * * * [progress]: [ 422 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.240 * * * * [progress]: [ 423 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.241 * * * * [progress]: [ 424 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 425 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 426 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))))))>
22.241 * * * * [progress]: [ 427 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 428 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))))))>
22.241 * * * * [progress]: [ 429 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 430 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 431 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.241 * * * * [progress]: [ 432 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 433 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 434 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))))))>
22.241 * * * * [progress]: [ 435 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 436 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))))))>
22.241 * * * * [progress]: [ 437 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.241 * * * * [progress]: [ 438 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 439 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.242 * * * * [progress]: [ 440 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 441 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 442 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))))))>
22.242 * * * * [progress]: [ 443 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 444 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))))))>
22.242 * * * * [progress]: [ 445 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 446 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 447 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.242 * * * * [progress]: [ 448 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 449 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 450 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))))))>
22.242 * * * * [progress]: [ 451 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 452 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))))))>
22.242 * * * * [progress]: [ 453 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.242 * * * * [progress]: [ 454 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 455 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.243 * * * * [progress]: [ 456 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 457 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 458 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))))))>
22.243 * * * * [progress]: [ 459 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 460 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))))))>
22.243 * * * * [progress]: [ 461 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 462 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 463 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.243 * * * * [progress]: [ 464 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 465 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 466 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))))))>
22.243 * * * * [progress]: [ 467 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 468 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))))))>
22.243 * * * * [progress]: [ 469 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 470 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.243 * * * * [progress]: [ 471 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.244 * * * * [progress]: [ 472 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 473 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 474 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))))))>
22.244 * * * * [progress]: [ 475 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 476 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 477 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.244 * * * * [progress]: [ 478 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.244 * * * * [progress]: [ 479 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 480 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 481 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 482 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 483 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.244 * * * * [progress]: [ 484 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.244 * * * * [progress]: [ 485 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 486 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 487 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 488 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.244 * * * * [progress]: [ 489 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.244 * * * * [progress]: [ 490 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.245 * * * * [progress]: [ 491 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 492 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 493 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.245 * * * * [progress]: [ 494 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
22.245 * * * * [progress]: [ 495 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 496 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 497 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 498 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 499 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.245 * * * * [progress]: [ 500 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.245 * * * * [progress]: [ 501 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 502 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 503 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 504 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 505 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.245 * * * * [progress]: [ 506 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
22.245 * * * * [progress]: [ 507 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
22.245 * * * * [progress]: [ 508 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
22.245 * * * * [progress]: [ 509 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 510 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 511 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
22.246 * * * * [progress]: [ 512 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 513 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 514 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
22.246 * * * * [progress]: [ 515 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 516 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
22.246 * * * * [progress]: [ 517 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 518 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 519 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.246 * * * * [progress]: [ 520 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 521 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 522 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.246 * * * * [progress]: [ 523 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 524 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
22.246 * * * * [progress]: [ 525 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 526 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.246 * * * * [progress]: [ 527 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.247 * * * * [progress]: [ 528 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 529 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 530 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
22.247 * * * * [progress]: [ 531 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 532 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
22.247 * * * * [progress]: [ 533 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 534 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 535 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.247 * * * * [progress]: [ 536 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 537 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 538 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.247 * * * * [progress]: [ 539 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 540 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))))>
22.247 * * * * [progress]: [ 541 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 542 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 543 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
22.247 * * * * [progress]: [ 544 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 545 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.247 * * * * [progress]: [ 546 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
22.248 * * * * [progress]: [ 547 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.248 * * * * [progress]: [ 548 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
22.248 * * * * [progress]: [ 549 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 550 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 551 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* 1 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.248 * * * * [progress]: [ 552 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 553 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 554 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 555 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 556 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 557 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 558 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 559 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 560 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 561 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 562 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.248 * * * * [progress]: [ 563 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 564 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.248 * * * * [progress]: [ 565 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 566 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 567 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 568 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 569 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 570 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 571 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 572 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 573 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 574 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 575 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 576 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 577 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 578 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 579 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 580 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 581 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 582 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.249 * * * * [progress]: [ 583 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.249 * * * * [progress]: [ 584 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
22.250 * * * * [progress]: [ 585 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.250 * * * * [progress]: [ 586 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
22.250 * * * * [progress]: [ 587 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.250 * * * * [progress]: [ 588 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 1/2)))>
22.250 * * * * [progress]: [ 589 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* 2 1)))>
22.250 * * * * [progress]: [ 590 / 1193 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 (/ 1 2))))>
22.250 * * * * [progress]: [ 591 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.250 * * * * [progress]: [ 592 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.250 * * * * [progress]: [ 593 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.250 * * * * [progress]: [ 594 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.250 * * * * [progress]: [ 595 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.250 * * * * [progress]: [ 596 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.250 * * * * [progress]: [ 597 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))) (sqrt (/ (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)))))>
22.250 * * * * [progress]: [ 598 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.250 * * * * [progress]: [ 599 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (sqrt (/ (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)))))>
22.250 * * * * [progress]: [ 600 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))))))>
22.250 * * * * [progress]: [ 601 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))))))>
22.250 * * * * [progress]: [ 602 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.251 * * * * [progress]: [ 603 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.251 * * * * [progress]: [ 604 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.251 * * * * [progress]: [ 605 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.251 * * * * [progress]: [ 606 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 607 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 608 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 609 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))) (sqrt (/ (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)))))>
22.251 * * * * [progress]: [ 610 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 611 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))) (sqrt (/ (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)))))>
22.251 * * * * [progress]: [ 612 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 613 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 614 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 615 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))) (sqrt (/ (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)))))>
22.251 * * * * [progress]: [ 616 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.251 * * * * [progress]: [ 617 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))) (sqrt (/ (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)))))>
22.251 * * * * [progress]: [ 618 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))))))>
22.252 * * * * [progress]: [ 619 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))))))>
22.252 * * * * [progress]: [ 620 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.252 * * * * [progress]: [ 621 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.252 * * * * [progress]: [ 622 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.252 * * * * [progress]: [ 623 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.252 * * * * [progress]: [ 624 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.252 * * * * [progress]: [ 625 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.252 * * * * [progress]: [ 626 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.252 * * * * [progress]: [ 627 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))) (sqrt (/ (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)))))>
22.252 * * * * [progress]: [ 628 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.252 * * * * [progress]: [ 629 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))) (sqrt (/ (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)))))>
22.252 * * * * [progress]: [ 630 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))))))>
22.252 * * * * [progress]: [ 631 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))))))>
22.252 * * * * [progress]: [ 632 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.252 * * * * [progress]: [ 633 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.252 * * * * [progress]: [ 634 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 635 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.253 * * * * [progress]: [ 636 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))))))>
22.253 * * * * [progress]: [ 637 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))))))>
22.253 * * * * [progress]: [ 638 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 639 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.253 * * * * [progress]: [ 640 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 641 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.253 * * * * [progress]: [ 642 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))))))>
22.253 * * * * [progress]: [ 643 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))))))>
22.253 * * * * [progress]: [ 644 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 645 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.253 * * * * [progress]: [ 646 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 647 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.253 * * * * [progress]: [ 648 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))))))>
22.253 * * * * [progress]: [ 649 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))))))>
22.253 * * * * [progress]: [ 650 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.253 * * * * [progress]: [ 651 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.254 * * * * [progress]: [ 652 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.254 * * * * [progress]: [ 653 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.254 * * * * [progress]: [ 654 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))))))>
22.254 * * * * [progress]: [ 655 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))))))>
22.254 * * * * [progress]: [ 656 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.254 * * * * [progress]: [ 657 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.254 * * * * [progress]: [ 658 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.254 * * * * [progress]: [ 659 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.254 * * * * [progress]: [ 660 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))))))>
22.254 * * * * [progress]: [ 661 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))>
22.254 * * * * [progress]: [ 662 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.255 * * * * [progress]: [ 663 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.255 * * * * [progress]: [ 664 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.255 * * * * [progress]: [ 665 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.255 * * * * [progress]: [ 666 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))))))>
22.255 * * * * [progress]: [ 667 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))))))>
22.255 * * * * [progress]: [ 668 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.255 * * * * [progress]: [ 669 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.255 * * * * [progress]: [ 670 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.255 * * * * [progress]: [ 671 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.255 * * * * [progress]: [ 672 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.255 * * * * [progress]: [ 673 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.256 * * * * [progress]: [ 674 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.256 * * * * [progress]: [ 675 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.256 * * * * [progress]: [ 676 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.256 * * * * [progress]: [ 677 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (sqrt (/ (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)))))>
22.256 * * * * [progress]: [ 678 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))))))>
22.256 * * * * [progress]: [ 679 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))))))>
22.256 * * * * [progress]: [ 680 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.256 * * * * [progress]: [ 681 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.256 * * * * [progress]: [ 682 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.256 * * * * [progress]: [ 683 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.257 * * * * [progress]: [ 684 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 685 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 686 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 687 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))) (sqrt (/ (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)))))>
22.257 * * * * [progress]: [ 688 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 689 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (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)))))>
22.257 * * * * [progress]: [ 690 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 691 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 692 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.257 * * * * [progress]: [ 693 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.258 * * * * [progress]: [ 694 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.258 * * * * [progress]: [ 695 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1))) (sqrt (/ (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)))))>
22.258 * * * * [progress]: [ 696 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))))))>
22.258 * * * * [progress]: [ 697 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))))))>
22.258 * * * * [progress]: [ 698 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.258 * * * * [progress]: [ 699 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.258 * * * * [progress]: [ 700 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.258 * * * * [progress]: [ 701 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.258 * * * * [progress]: [ 702 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.259 * * * * [progress]: [ 703 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.259 * * * * [progress]: [ 704 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.259 * * * * [progress]: [ 705 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.259 * * * * [progress]: [ 706 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.259 * * * * [progress]: [ 707 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (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)))))>
22.259 * * * * [progress]: [ 708 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))))))>
22.259 * * * * [progress]: [ 709 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))))))>
22.259 * * * * [progress]: [ 710 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.259 * * * * [progress]: [ 711 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.259 * * * * [progress]: [ 712 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.260 * * * * [progress]: [ 713 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.260 * * * * [progress]: [ 714 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))))))>
22.260 * * * * [progress]: [ 715 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))))))>
22.260 * * * * [progress]: [ 716 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.260 * * * * [progress]: [ 717 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.260 * * * * [progress]: [ 718 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.260 * * * * [progress]: [ 719 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.260 * * * * [progress]: [ 720 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))))))>
22.260 * * * * [progress]: [ 721 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))))))>
22.260 * * * * [progress]: [ 722 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.261 * * * * [progress]: [ 723 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.261 * * * * [progress]: [ 724 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.261 * * * * [progress]: [ 725 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.261 * * * * [progress]: [ 726 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))))))>
22.261 * * * * [progress]: [ 727 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))))))>
22.261 * * * * [progress]: [ 728 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.261 * * * * [progress]: [ 729 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.261 * * * * [progress]: [ 730 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.261 * * * * [progress]: [ 731 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.261 * * * * [progress]: [ 732 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))))))>
22.261 * * * * [progress]: [ 733 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))))))>
22.262 * * * * [progress]: [ 734 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.262 * * * * [progress]: [ 735 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.262 * * * * [progress]: [ 736 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.262 * * * * [progress]: [ 737 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.262 * * * * [progress]: [ 738 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))))))>
22.262 * * * * [progress]: [ 739 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))>
22.262 * * * * [progress]: [ 740 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.262 * * * * [progress]: [ 741 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.262 * * * * [progress]: [ 742 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.262 * * * * [progress]: [ 743 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.262 * * * * [progress]: [ 744 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))))))>
22.263 * * * * [progress]: [ 745 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))))))>
22.263 * * * * [progress]: [ 746 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.263 * * * * [progress]: [ 747 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.263 * * * * [progress]: [ 748 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.263 * * * * [progress]: [ 749 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.263 * * * * [progress]: [ 750 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (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))))))>
22.263 * * * * [progress]: [ 751 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (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))))))>
22.263 * * * * [progress]: [ 752 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.264 * * * * [progress]: [ 753 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.264 * * * * [progress]: [ 754 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.264 * * * * [progress]: [ 755 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1))) (sqrt (/ (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)))))>
22.264 * * * * [progress]: [ 756 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k))))))>
22.264 * * * * [progress]: [ 757 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k))))))>
22.264 * * * * [progress]: [ 758 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.264 * * * * [progress]: [ 759 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.264 * * * * [progress]: [ 760 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
22.264 * * * * [progress]: [ 761 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k)))))>
22.264 * * * * [progress]: [ 762 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 763 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (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)))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 764 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 765 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.265 * * * * [progress]: [ 766 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 767 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (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)))))>
22.265 * * * * [progress]: [ 768 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 769 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 770 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.265 * * * * [progress]: [ 771 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.265 * * * * [progress]: [ 772 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.266 * * * * [progress]: [ 773 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1))) (sqrt (/ (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)))))>
22.266 * * * * [progress]: [ 774 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k))))))>
22.266 * * * * [progress]: [ 775 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k))))))>
22.266 * * * * [progress]: [ 776 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.266 * * * * [progress]: [ 777 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.266 * * * * [progress]: [ 778 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k))))))>
22.266 * * * * [progress]: [ 779 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k)))))>
22.266 * * * * [progress]: [ 780 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (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))))))>
22.266 * * * * [progress]: [ 781 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (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))))))>
22.266 * * * * [progress]: [ 782 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.267 * * * * [progress]: [ 783 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (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)))))>
22.267 * * * * [progress]: [ 784 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (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))))))>
22.267 * * * * [progress]: [ 785 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (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)))))>
22.267 * * * * [progress]: [ 786 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k))))))>
22.267 * * * * [progress]: [ 787 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k))))))>
22.267 * * * * [progress]: [ 788 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.267 * * * * [progress]: [ 789 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.267 * * * * [progress]: [ 790 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k))))))>
22.267 * * * * [progress]: [ 791 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k)))))>
22.267 * * * * [progress]: [ 792 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k))))))>
22.267 * * * * [progress]: [ 793 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k))))))>
22.268 * * * * [progress]: [ 794 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.268 * * * * [progress]: [ 795 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.268 * * * * [progress]: [ 796 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k))))))>
22.268 * * * * [progress]: [ 797 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k)))))>
22.268 * * * * [progress]: [ 798 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k))))))>
22.268 * * * * [progress]: [ 799 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k))))))>
22.268 * * * * [progress]: [ 800 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.268 * * * * [progress]: [ 801 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.268 * * * * [progress]: [ 802 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k))))))>
22.268 * * * * [progress]: [ 803 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k)))))>
22.269 * * * * [progress]: [ 804 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k))))))>
22.269 * * * * [progress]: [ 805 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k))))))>
22.269 * * * * [progress]: [ 806 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.269 * * * * [progress]: [ 807 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.269 * * * * [progress]: [ 808 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k))))))>
22.269 * * * * [progress]: [ 809 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k)))))>
22.269 * * * * [progress]: [ 810 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k))))))>
22.269 * * * * [progress]: [ 811 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k))))))>
22.269 * * * * [progress]: [ 812 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.269 * * * * [progress]: [ 813 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.269 * * * * [progress]: [ 814 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k))))))>
22.270 * * * * [progress]: [ 815 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k)))))>
22.270 * * * * [progress]: [ 816 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k))))))>
22.270 * * * * [progress]: [ 817 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))>
22.270 * * * * [progress]: [ 818 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.270 * * * * [progress]: [ 819 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.270 * * * * [progress]: [ 820 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k))))))>
22.270 * * * * [progress]: [ 821 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k)))))>
22.270 * * * * [progress]: [ 822 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k))))))>
22.270 * * * * [progress]: [ 823 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k))))))>
22.270 * * * * [progress]: [ 824 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.270 * * * * [progress]: [ 825 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.271 * * * * [progress]: [ 826 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k))))))>
22.271 * * * * [progress]: [ 827 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k)))))>
22.271 * * * * [progress]: [ 828 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
22.271 * * * * [progress]: [ 829 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
22.271 * * * * [progress]: [ 830 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.271 * * * * [progress]: [ 831 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.271 * * * * [progress]: [ 832 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.271 * * * * [progress]: [ 833 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.271 * * * * [progress]: [ 834 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
22.271 * * * * [progress]: [ 835 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
22.271 * * * * [progress]: [ 836 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.271 * * * * [progress]: [ 837 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.272 * * * * [progress]: [ 838 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
22.272 * * * * [progress]: [ 839 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
22.272 * * * * [progress]: [ 840 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
22.272 * * * * [progress]: [ 841 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
22.272 * * * * [progress]: [ 842 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.272 * * * * [progress]: [ 843 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.272 * * * * [progress]: [ 844 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.272 * * * * [progress]: [ 845 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.272 * * * * [progress]: [ 846 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
22.272 * * * * [progress]: [ 847 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
22.272 * * * * [progress]: [ 848 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.272 * * * * [progress]: [ 849 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.273 * * * * [progress]: [ 850 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.273 * * * * [progress]: [ 851 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.273 * * * * [progress]: [ 852 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
22.273 * * * * [progress]: [ 853 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
22.273 * * * * [progress]: [ 854 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.273 * * * * [progress]: [ 855 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.273 * * * * [progress]: [ 856 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
22.273 * * * * [progress]: [ 857 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
22.273 * * * * [progress]: [ 858 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
22.273 * * * * [progress]: [ 859 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
22.273 * * * * [progress]: [ 860 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.273 * * * * [progress]: [ 861 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.274 * * * * [progress]: [ 862 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
22.274 * * * * [progress]: [ 863 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.274 * * * * [progress]: [ 864 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))))))>
22.274 * * * * [progress]: [ 865 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))))))>
22.274 * * * * [progress]: [ 866 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
22.274 * * * * [progress]: [ 867 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
22.274 * * * * [progress]: [ 868 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
22.274 * * * * [progress]: [ 869 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
22.274 * * * * [progress]: [ 870 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1)) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.274 * * * * [progress]: [ 871 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt k)))))>
22.274 * * * * [progress]: [ 872 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.274 * * * * [progress]: [ 873 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.274 * * * * [progress]: [ 874 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 875 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 876 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 877 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 878 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 879 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 880 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 881 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 882 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.275 * * * * [progress]: [ 883 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 884 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 885 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 886 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 887 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 888 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 889 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 890 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 891 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 892 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.276 * * * * [progress]: [ 893 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 894 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 895 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 896 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 897 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 898 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 899 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 900 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 901 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 902 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.277 * * * * [progress]: [ 903 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 904 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 905 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 906 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 907 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 908 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 909 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 910 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 911 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.278 * * * * [progress]: [ 912 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 913 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 914 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 915 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 916 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 917 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 918 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 919 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 920 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 921 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.279 * * * * [progress]: [ 922 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 923 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 924 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 925 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 926 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 927 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 928 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 929 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 930 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 931 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.280 * * * * [progress]: [ 932 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 933 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 934 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 935 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 936 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 937 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 938 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 939 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 940 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 941 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.281 * * * * [progress]: [ 942 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 943 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 944 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 945 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 946 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 947 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 948 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 949 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 950 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 951 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.282 * * * * [progress]: [ 952 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 953 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 954 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 955 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 956 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 957 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 958 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 959 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 960 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 961 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.283 * * * * [progress]: [ 962 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 963 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 964 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 965 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 966 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 967 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 968 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 969 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 970 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 971 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.284 * * * * [progress]: [ 972 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 973 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 974 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 975 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 976 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 977 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 978 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 979 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 980 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 981 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.285 * * * * [progress]: [ 982 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 983 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 984 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 985 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 986 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 987 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 988 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 989 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 990 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.286 * * * * [progress]: [ 991 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 992 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 993 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 994 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 995 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 996 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 997 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 998 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 999 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 1000 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.287 * * * * [progress]: [ 1001 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1002 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1003 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1004 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1005 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1006 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1007 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1008 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.288 * * * * [progress]: [ 1009 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1010 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1011 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1012 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1013 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1014 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1015 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1016 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1017 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1018 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.289 * * * * [progress]: [ 1019 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1020 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1021 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1022 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1023 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1024 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1025 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1026 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1027 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1028 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1029 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.290 * * * * [progress]: [ 1030 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1031 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1032 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1033 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1034 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1035 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1036 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1037 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1038 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1039 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1040 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.291 * * * * [progress]: [ 1041 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1042 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1043 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1044 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1045 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1046 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (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))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1047 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1048 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1049 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1050 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.292 * * * * [progress]: [ 1051 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1052 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1053 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1054 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1055 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1056 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1057 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1058 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1059 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1060 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.293 * * * * [progress]: [ 1061 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1062 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1063 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1064 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1065 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1066 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1067 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (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)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1068 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1069 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1070 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.294 * * * * [progress]: [ 1071 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1072 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1073 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1074 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1075 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1076 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1077 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1078 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1079 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1080 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1081 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.295 * * * * [progress]: [ 1082 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1083 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1084 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1085 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1086 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1087 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1088 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1089 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1090 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1091 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1092 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.296 * * * * [progress]: [ 1093 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1094 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1095 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1096 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1097 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1098 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1))))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1099 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1100 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1101 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1102 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1103 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1104 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.297 * * * * [progress]: [ 1105 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1106 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1107 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1108 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1109 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1110 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k)))) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1111 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1112 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1113 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1114 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1115 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1116 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.298 * * * * [progress]: [ 1117 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1118 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1119 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1120 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1121 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1122 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1123 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1124 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1125 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1126 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1127 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1128 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.299 * * * * [progress]: [ 1129 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1130 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1131 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1132 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1133 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1134 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1135 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1136 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1137 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1138 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1139 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1140 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.300 * * * * [progress]: [ 1141 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1142 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1143 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1144 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1145 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1146 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1147 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1148 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1149 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1150 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1151 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1152 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.301 * * * * [progress]: [ 1153 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.302 * * * * [progress]: [ 1154 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.302 * * * * [progress]: [ 1155 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.302 * * * * [progress]: [ 1156 / 1193 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
22.302 * * * * [progress]: [ 1157 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))>
22.302 * * * * [progress]: [ 1158 / 1193 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt k))))>
22.302 * * * * [progress]: [ 1159 / 1193 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
22.302 * * * * [progress]: [ 1160 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1161 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (log1p (expm1 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1162 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (expm1 (log1p (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1163 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1164 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1165 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1166 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.302 * * * * [progress]: [ 1167 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1168 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1169 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1170 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1171 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1172 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1173 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1174 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1175 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1176 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1177 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1178 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1179 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1180 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
22.303 * * * * [progress]: [ 1181 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1182 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1183 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1184 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1185 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1186 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1187 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1188 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
22.304 * * * * [progress]: [ 1189 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
22.304 * * * * [progress]: [ 1190 / 1193 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
22.304 * * * * [progress]: [ 1191 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1192 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.304 * * * * [progress]: [ 1193 / 1193 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
22.363 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma 1 1/2 (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2)))))))
  (pow (* n (* 2 PI)) (fma (- (cbrt (/ k 2))) (* (cbrt (/ k 2)) (cbrt (/ k 2))) (* (cbrt (/ k 2)) (* (cbrt (/ k 2)) (cbrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (sqrt 2))) (/ (* (cbrt k) (cbrt k)) (sqrt 2)) (* (/ (cbrt k) (sqrt 2)) (/ (* (cbrt k) (cbrt k)) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (cbrt 2))) (/ (sqrt k) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt k) (cbrt 2)) (/ (sqrt k) (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) (sqrt 2))) (/ (sqrt k) (sqrt 2)) (* (/ (sqrt k) (sqrt 2)) (/ (sqrt k) (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt k) 2) (/ (sqrt k) 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2))))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))))
  (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2)))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) (/ 1 1)))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1))))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ k 2) 1))))
  (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 2) k))))
  (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k)))
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  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)) (sqrt (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ k 2)) (sqrt (/ k 2)))))) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))) (sqrt k))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)) (sqrt (/ (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)))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (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)) (sqrt (/ (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)))
  (* (sqrt (/ (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))) (sqrt (/ (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))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (cbrt (sqrt k)))))
  (* (sqrt (/ (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))))) (sqrt (/ (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))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (cbrt k)))))
  (* (sqrt (/ (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)))) (sqrt (/ (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)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (/ (* (cbrt k) (cbrt k)) 1) (* (/ (cbrt k) 2) (/ (* (cbrt k) (cbrt k)) 1)))) (sqrt (sqrt k)))))
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  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ (sqrt k) 2)) (/ (sqrt k) 1) (* (/ (sqrt k) 2) (/ (sqrt k) 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (cbrt 2))) (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ k (cbrt 2)) (/ 1 (* (cbrt 2) (cbrt 2)))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k (sqrt 2))) (/ 1 (sqrt 2)) (* (/ k (sqrt 2)) (/ 1 (sqrt 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) (/ 1 1) (* (/ k 2) (/ 1 1)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ 1 2)) k (* (/ 1 2) k))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (real->posit16 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
22.433 * * [simplify]: iteration 0: 1606 enodes
23.185 * * [simplify]: iteration 1: 2001 enodes
23.671 * * [simplify]: iteration complete: 2001 enodes
23.672 * * [simplify]: Extracting #0: cost 618 inf + 0
23.676 * * [simplify]: Extracting #1: cost 1095 inf + 43
23.682 * * [simplify]: Extracting #2: cost 1237 inf + 846
23.690 * * [simplify]: Extracting #3: cost 1206 inf + 8703
23.705 * * [simplify]: Extracting #4: cost 1084 inf + 54943
23.740 * * [simplify]: Extracting #5: cost 894 inf + 144525
23.803 * * [simplify]: Extracting #6: cost 635 inf + 316012
23.907 * * [simplify]: Extracting #7: cost 313 inf + 560480
24.004 * * [simplify]: Extracting #8: cost 97 inf + 762995
24.137 * * [simplify]: Extracting #9: cost 22 inf + 841889
24.303 * * [simplify]: Extracting #10: cost 12 inf + 853661
24.432 * * [simplify]: Extracting #11: cost 12 inf + 853686
24.578 * * [simplify]: Extracting #12: cost 14 inf + 853686
24.746 * * [simplify]: Extracting #13: cost 14 inf + 854222
24.855 * * [simplify]: Extracting #14: cost 16 inf + 854222
24.968 * * [simplify]: Extracting #15: cost 16 inf + 854718
25.099 * * [simplify]: Extracting #16: cost 18 inf + 854718
25.235 * * [simplify]: Extracting #17: cost 18 inf + 855104
25.356 * * [simplify]: Extracting #18: cost 20 inf + 855104
25.481 * * [simplify]: Extracting #19: cost 20 inf + 855560
25.604 * * [simplify]: Extracting #20: cost 18 inf + 856512
25.721 * * [simplify]: Extracting #21: cost 16 inf + 857954
25.857 * * [simplify]: Extracting #22: cost 14 inf + 859746
26.005 * * [simplify]: Extracting #23: cost 13 inf + 860797
26.135 * * [simplify]: Extracting #24: cost 10 inf + 864380
26.261 * * [simplify]: Extracting #25: cost 8 inf + 867062
26.415 * * [simplify]: Extracting #26: cost 6 inf + 869934
26.549 * * [simplify]: Extracting #27: cost 4 inf + 873236
26.704 * * [simplify]: Extracting #28: cost 2 inf + 876808
26.844 * * [simplify]: Extracting #29: cost 0 inf + 880650
26.982 * [simplify]: Simplified to:
  (expm1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (log1p (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n (* 2 PI)))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* n (* 2 PI))
  (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) (- (/ k 2))))
  (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))
  (pow (* 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))))))
  (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (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)))))))
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  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
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  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (expm1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (log1p (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (+ 1 1)
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  (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))) (sqrt k)) (sqrt (/ (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)))))
  (* (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)))
  (* (/ (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)
  (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (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)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (pow (* n (* 2 PI)) (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))))))) (fabs (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 (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))))))) (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)))))))
  (/ (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) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (cbrt (sqrt k)))
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  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ k 2))) (sqrt (sqrt k)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ k 2))))
  (/ (pow (* n (* 2 PI)) (fma (- (sqrt (/ k 2))) (sqrt (/ k 2)) (/ 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 2)) (/ (cbrt k) (cbrt 2))))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (fabs (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt (sqrt k)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2))) (* (/ (cbrt k) (cbrt 2)) (* (/ (cbrt k) (cbrt 2)) (/ (cbrt k) (cbrt 2)))))) (sqrt k))
  (/ (pow (* 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)))))) (fabs (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 (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)))))) (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))))))
  (/ (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)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (fabs (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k)))))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (sqrt (sqrt k)))
  (pow (* n (* 2 PI)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))))
  (/ (pow (* n (* 2 PI)) (fma (- (/ (cbrt k) 2)) (* (cbrt k) (cbrt k)) (* (/ (cbrt k) 2) (* (cbrt k) (cbrt k))))) (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))))))) (fabs (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 (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))))))) (sqrt (sqrt k)))
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  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (fma 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) (* k k)))) (fma 1/8 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (* (log n) (log n)) (* k k))) (+ (exp (* 1/2 (log (* n (* 2 PI))))) (* 1/8 (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* k k))))))) (fma 1/2 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) k)) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (fma 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) (* k k)))) (fma 1/8 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (* (log n) (log n)) (* k k))) (+ (exp (* 1/2 (log (* n (* 2 PI))))) (* 1/8 (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* k k))))))) (fma 1/2 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) k)) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (fma +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) (* k k)))) (- (fma +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* k k))) (- (fma +nan.0 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (* (log n) (log n)) (* k k))) (- (fma +nan.0 (* (exp (* 1/2 (log (* n (* 2 PI))))) k) (- (fma +nan.0 (exp (* 1/2 (log (* n (* 2 PI))))) (- (fma +nan.0 (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* 1/2 (log (* n (* 2 PI))))) (* k k))) (- (fma +nan.0 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) (* k k))) (- (fma +nan.0 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* k k)) (- (fma +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (log (* n (* 2 PI))))) k)) (- (* +nan.0 (* (exp (* 1/2 (log (* n (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (fma +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))) (* k (* k k))) (- (fma +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))) k) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (- (log n))))) (* k k))))))))
  (- (fma +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k) (- (fma +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
27.333 * * * [progress]: adding candidates to table
50.354 * [progress]: [Phase 3 of 3] Extracting.
50.354 * * [regime]: Finding splitpoints for: (#<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))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))))>)
50.356 * * * [regime-changes]: Trying 2 branch expressions: (n k)
50.356 * * * * [regimes]: Trying to branch on n from (#<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))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))))>)
50.414 * * * * [regimes]: Trying to branch on k from (#<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))))> #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (fma 1 1/2 (- (/ k 2)))) (fabs (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (fma (- (/ k 2)) 1 (* (/ k 2) 1))) (sqrt (cbrt k))))))> #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k)))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))))>)
50.477 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
50.478 * [simplify]: Simplifying:
  (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))
50.478 * * [simplify]: iteration 0: 16 enodes
50.479 * * [simplify]: iteration 1: 21 enodes
50.480 * * [simplify]: iteration complete: 21 enodes
50.480 * * [simplify]: Extracting #0: cost 1 inf + 0
50.480 * * [simplify]: Extracting #1: cost 3 inf + 0
50.480 * * [simplify]: Extracting #2: cost 6 inf + 0
50.481 * * [simplify]: Extracting #3: cost 8 inf + 1
50.481 * * [simplify]: Extracting #4: cost 10 inf + 43
50.481 * * [simplify]: Extracting #5: cost 10 inf + 45
50.481 * * [simplify]: Extracting #6: cost 6 inf + 131
50.481 * * [simplify]: Extracting #7: cost 3 inf + 672
50.481 * * [simplify]: Extracting #8: cost 0 inf + 2117
50.481 * [simplify]: Simplified to:
  (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))
59.351 * [regime-testing]: Baseline error score: 0.45259755365579707
59.356 * [regime-testing]: Oracle error score: 0.0633842743699792
59.366 * [regime-testing]: End program error score: 0.45259755365579707